diff --git "a/data/dm_maths/full_data_1/2068_11255.jsonl" "b/data/dm_maths/full_data_1/2068_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2068_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let p(d) = -2*d - 25. Give p(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 9:27 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2244 and 6528?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 134855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i + 89 - 29 = 0. Solve -j = -i*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 5*n**2 + 3*n + 1. Let i be s(5). Let k be ((-45)\/(-10))\/(1\/10). Let u = 85 - k. What is the highest common divisor of i and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 17*v**2 + 13*v - 14. Let t be l(18). Let p be t*(-3)\/15*-5. Round p to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - 7) + 84 + -43.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**3 + 1604*z**2 + 13594*z - 10330. Determine s(543).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 710651979 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 9:34 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154 and 26614?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -2\/7, -3\/607, 3, -6, 2, 5\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38487193.3 rounded to the nearest 1000?\nAnswer: 38487000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6239636257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yleoy. What is prob of picking 1 o and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*k = 3625, 4*k - 716 = 8*u - 9*u. Suppose -23*y - 29*y = -u. What is the smallest common multiple of 2 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 68*j**2 + 200*j - 12 = 0.\nAnswer: -3, 1\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 not equal to 0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -11*r. Let i(v) = 18*v - 30. Let p be i(2). Let g(x) = x**2 + 9*x - 8. Let m be g(-10). Let n(j) = p*j**m - 6*j**2 - 2*j**2 + j**2. What is n(y(h))?\nAnswer: -121*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 2, 29, 1, -4, 356 in increasing order.\nAnswer: -4, -3, 1, 2, 4, 29, 356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 54*u - 3. Let v be n(2). Suppose v + 75 = 4*a. Calculate the remainder when a is divided by 1 + 5\/((-20)\/(-88)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/496741 and 37\/291193.\nAnswer: 8444597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 2*w + 4*w + 81 - 81 + 20*w + (-1 + 1 - 2)*(-2*w - 2*w + 3*w))*(-4*w + w - 3 + 4*w).\nAnswer: 24*w**2 - 72*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/5*(360\/(-27))\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**2 - 8*x**2 - 2*x**2 + 4*x**2 - 5*x**2 + 18*x**2 + 4*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -175*l - 797. Let o be m(-5). Calculate the highest common factor of 3471 and o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(6)\/(sqrt(12)\/sqrt(4)) + -4 + (sqrt(64)\/sqrt(8) - (sqrt(40)\/sqrt(4))\/sqrt(5))*6.\nAnswer: -6 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-5)\/(10\/(-29))*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 1)\/((-2)\/116). Suppose 2*c + 122 = 2*t, 7*t - 305 = 2*t - 5*c. Let m = t + u. What is the highest common divisor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Suppose k - 8*n = -4*n - 18, -5*k - 2*n - o = 0. Let g = 1 - k. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.18478g to micrograms.\nAnswer: 31184780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-4) - 2\/8. Let o = 85 + -81. Let q = 0.7 + -0.4. What is the smallest value in o, g, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000694757289 to seven decimal places.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*f - 49. Suppose 0*h = -2*h + 4. Let u = 7 + h. Calculate the remainder when f is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38 take away 2.36?\nAnswer: -2.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 30 = -2*x, 0 = 2*b + 3 - 7. What is the lowest common multiple of 610 and x?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 29*a**2 + 8*a + 11. Let z(v) = v**3 + 11*v**2 + 14*v + 38. Let k be z(-10). What is the remainder when t(k) is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4771\/740 + 270\/37. What is the common denominator of i and 21\/25?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g. Let i(w) = -26*w - 7 + 3*w + 0*w + 0*w + 10*w. What is i(j(v))?\nAnswer: 13*v - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 30*x**2 + 17*x + 40. Let q be (-116)\/9 + (944\/(-72) - -13). Is i(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6069496 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3992 is divided by 535?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*m + 13, -5*m + 61 = v. Let r be ((v\/(-2))\/2)\/(3\/(-14)). What is the greatest common divisor of 63 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 51113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1860*g**2 - 900*g - 3120*g**3 + 732*g**3 + 1367*g**3 + 62*g**4 - g**5.\nAnswer: -g*(g - 30)**2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) 3 (c) -2 (d) -2\/9 (e) -603 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**5\/120 + r**4\/12 + r**3\/4 - 7*r**2\/2 + 7. Let l(h) be the second derivative of g(h). Find q such that l(q) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 8*r**2 - r - 2. Let m be (-3)\/48*-4 - (-66)\/(-8). Determine y(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-72)\/(-231))\/4)\/(4 + -21 + (-472)\/(-28))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -4*s**2 + 6*s + 5. Let t(w) = -4*w + 15. Let v(u) = -3*u + 10. Let q(f) = 2*t(f) - 3*v(f). Calculate q(l(r)).\nAnswer: -8*r + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + m - 3, -5*a + 9 = -m - 4. What are the prime factors of ((-72)\/(-1))\/((-10)\/(-55)) + a?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-13)\/2)\/(32556\/(-2712) - -12).\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46840375?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -113105 (base 6) in base 13?\nAnswer: -459b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*o**2 - 3*o**2 - 7*o - 6*o**2 - o**3 + 17*o**2 in the form i*o**2 + m + r*o + u*o**3 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11264)\/(-557568))\/(16\/18).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.08 or -266?\nAnswer: -266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52\/5*m**2 + 8*m - 1\/5*m**5 + 0 + 18\/5*m**3 - 1\/5*m**4 = 0. Calculate m.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 338785320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.14 + 331.14. Let t = -331.875 + o. Round t to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*q - 2*q + 7 = 0, -q + 1 = b. Let v be 33\/4 + b\/16. Let p = v - 8. Let l(t) = -t**3 + t + 1. What is l(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwwpwpppwpppppwp. What is prob of picking 2 p?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -7 - (7 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23855 - 16858. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) 2 (c) 0.1 (d) -2\/321\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**5\/4 - 5011*t**4\/2 - 30057*t**3\/4 = 0 for t.\nAnswer: -10019, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.8 in -5\/2, -0.2, 3, -0.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 223\/15 + -44\/3. Let w = -3 - -5. Factor -1\/5*l**w + 0*l + o*l**3 + 0.\nAnswer: l**2*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**5 - 2712*l**4 + 113656*l**3 - 897328*l**2 - 13063956*l + 155211496 = 0. What is l?\nAnswer: -718, -11, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98724 is divided by 301.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 47*k + 245. Determine p(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.979511t in grams?\nAnswer: 979511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (1 - 4) - (-4 + 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 6*w - 5. What is m(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39.9 - -340.9. Let o = g - 191.8. Round o to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72885?\nAnswer: 3, 5, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3525\/53 + -3534091\/53159. What is the common denominator of z and 11\/10?\nAnswer: 10030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -66*g**2 + 65*g**2 + 25 - g - 2*g + 2*g - 30. Let x(k) = -4*k**2 - 3*k - 16. Give -4*x(j) + 14*z(j).\nAnswer: 2*j**2 - 2*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x - 7. Let a be d(4). Calculate the remainder when (16\/a)\/((-4)\/(-110)) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 398668 - 20368. Suppose -22*z = 8*z - p. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8020?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 195*n - 79*n + 37*n + 202*n. Let j(h) = 3*h. Determine j(y(t)).\nAnswer: 1065*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/3304 and -17\/56.\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -26 (c) 1\/2 (d) 159 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**6)\/b**26)\/(b**(-10))**33)**(-32) assuming b is positive.\nAnswer: b**(-9568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215400 and 3231.\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(95) + sqrt(95)*-2)*3 - (-2*sqrt(95)*-1 + sqrt(95) + sqrt(95))))\/(((sqrt(80) - sqrt(20)) + sqrt(80)*2)*-2).\nAnswer: 7*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -57 greater than -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + r)*(-2 + 2*r + 2)*(-21 - 1 + 5) - 9*r - 5*r**2 + 9*r + (0*r + 2*r - 3*r)*(-1 - 2*r + 1) + 4695*r - 4695*r - 65*r**2.\nAnswer: -102*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 4*m**2 - 4*m + 1. Let p be d(-4). Let b = p - 11. Calculate the remainder when 38 is divided by (-8)\/(-6)*45\/b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 - 7835*p - 78325\/2.\nAnswer: -(p + 5)*(p + 15665)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270472060 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 692838901 to the power of 1\/4, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -533 - -483. What is the remainder when (((-594)\/(-5))\/(-3))\/(15\/s) is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166418 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 14*t + 14. Calculate h(-12).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -1\/16 (c) 105\/187 (d) -0.04 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 878.6 or -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a hour in seconds?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 227830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861 is divided by 108?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -4034\nAnswer: 1\/4034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 65, 4 in descending order.\nAnswer: 65, 15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -713, -2846, -6401, -11378, -17777?\nAnswer: -25598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from ddddbddbdddddb?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 3. Suppose -3*l - r + 1438 = 0, 1220 - 256 = 2*l - c*r. Round l to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of ((-2)\/5 - 0)\/(15\/(-675))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21610 (base 12) to base 7.\nAnswer: -242334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 7\/32*x**4 - x + 0 + 1\/480*x**6 - 60*x**2 + 5\/12*x**3 + 1\/20*x**5. Factor m(f).\nAnswer: (f + 1)**2*(f + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 51. Does 11 divide 27 - -7 - (-4)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 1. Let u(i) = 21*i**4 - 27*i**2 + 4. Let t(q) = -4*a(q) - u(q). Find the third derivative of t(r) wrt r.\nAnswer: -504*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17\/27 - -139\/135. Suppose -8\/15 + y*k**2 + 8\/15*k - 4\/15*k**3 - 2\/15*k**4 = 0. What is k?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -89, -84, -77?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.142109 and -186.\nAnswer: -181.857891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 36*z + 2 - z + 17*z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37993995 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 30 - 30 - 6*y + 39*y**2 in the form x + s*y**2 + f*y and give s.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**5 - 2*p**4 - p**3 + p - 1. Let y(v) = 220*v**5 - 6*v**4 - 3*v**3 - 124*v - 3. Let r(h) = 3*w(h) - y(h). Find the second derivative of r(c) wrt c.\nAnswer: -4340*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*m - 43*m - 3*o = 75, -2*m - 3*m = 7*o + 186 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -583402, -583400, -583398, -583396?\n\"Answer: 2*b - 583404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -2*i - 15. Suppose 4*n - m = 5*n - i, -2*n + 5*m + 27 = 0. What is the highest common divisor of 54 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 5*y**3\/6 + 33*y**2\/2 + 15*y. Let r be n(-5). What is the first derivative of -26*k - 27*k**2 + 18*k - 3 + r*k wrt k?\nAnswer: -54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 3*v - 2. Let l be q(5). Let j be 3\/l - (-6965)\/100. Let y = -70 + j. Which is the second biggest value? (a) 2 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**1)\/a)**(-28)\/(a*a**(2\/7))**(-2\/9) assuming a is positive.\nAnswer: a**(198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 181\/2 - 573\/(-382). Solve -b - 28 = -24*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 11*j + 10. Let y(w) = -16*w. Give d(y(c)).\nAnswer: -176*c + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1782\/3927 + ((-2)\/5)\/(51\/(-15)). Let g be (-60)\/14 + 4\/14. Which is the nearest to 0.6? (a) g (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 + 61 + (7 - 5 - -25) + -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 5. Let k(m) = m + 6. Let y(i) = -i**3 - 8*i**2 + 4*i - 13. Let n be y(-10). Let a = n + -144. Let j be 2\/4*a*(2 - -2). Give j*v(p) + 5*k(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 37, 81, 139?\n\"Answer: 7*p**2 + 9*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 9*t + 14. Suppose t*a = -38 + 185. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -13, -7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-12))\/((-5)\/6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/3 + (-18)\/(-54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189992 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14\/3 (b) -2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -50 (b) -8\/7 (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 125 + 122 - 247 + 75*j in the form y + v*j and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, n: 1, r: 2, f: 4}. What is prob of sequence nrr?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 + 15*c**2 - 57*c + 239. Calculate p(8).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 1. Let q(f) = 58*f**2 + 30*f**2 - f - f + 14 - 91*f**2. Calculate -4*p(v) - q(v).\nAnswer: -v**2 + 2*v - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + g + 10. Suppose 0 = x + 4*w - 5, -g*x + 0*x = 3*w - 25. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4*((sqrt(512) + -2)*1 - sqrt(512)) + -1))**2.\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 2203?\nAnswer: 18\/2203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1990816.\nAnswer: 2, 62213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -k - 4*w + 5*w, -k - 11 = -3*w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 - 70 = 2*n. What is the units digit of (-7)\/(7\/(-329)*n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) -1\/5 (c) -6 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-60) + (-16)\/(-40))\/1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6 + (-14)\/6. Let s be (-1 - f)\/(4\/4). What is the units digit of (-4)\/(2*s\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 147 - -243. Suppose -1094 - r = -4*d. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/12)\/((-43)\/(-24) - (-36)\/96). Which is the second biggest value? (a) 3 (b) -2 (c) 0.174 (d) 2 (e) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40995449681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12313 - -12312.7. Put k, 3\/7, -9, 1\/7 in decreasing order.\nAnswer: 3\/7, 1\/7, k, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 9 + 2*p**4 - 2 - 9 - p**2 in the form i*p + k*p**2 + d + f*p**4 + q*p**3 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133 + 1464\/11. Let c = 83434 - 417166\/5. What is the second biggest value in -0.3, q, c, -0.02?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 + 5172 - 5172.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 0*j**6 + 1\/210*j**7 - 2*j**2 + 0*j + 0 - 1\/8*j**4 + 0*j**3 + 0*j**5. Find the second derivative of s(t) wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(2\/11))\/(g\/(g\/(g*g**(-3)))*g))\/(g**(2\/3))**(-2\/11))**(-1\/17))**6 assuming g is positive.\nAnswer: g**(-152\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0251689401 - 0.02517. Round b to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2215099.\nAnswer: 2215099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29265 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 2*g**2 + 2*g + 3. Let w be x(3). Suppose -5*m + 4*m = 1. Let f be m\/1 - 2*-2. Solve -f*s - 18 + 3 = w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -594 - -282. Let v = 4651862\/11 + -422584. Let m = i + v. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b*b**(2\/57))\/b*b)*b**(-6)*(b*b**(5\/4))\/((b**(4\/5)\/b*b)\/b) assuming b is positive.\nAnswer: b**(-4087\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**4 - 162*n**2 - 35*n + 1 wrt n?\nAnswer: 12*n**2 - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 10*z**4 + 6*z**3 - 7*z + 6. Let d(v) = 19*v**4 + 11*v**3 - 13*v + 11. Let p(k) = 6*d(k) - 11*y(k). What is the second derivative of p(a) wrt a?\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 less than or equal to -10979547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 20. Suppose 14*p - 11*p = v. Let x(b) = 6*b**3 + b**2 - 2*b. What are the prime factors of x(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65772 divided by -6\nAnswer: 10962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1516224395.944 + 0.27\nAnswer: 1516224396.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5705, -5708, -5711?\nAnswer: -5714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11101222020 - -12?\nAnswer: -11101222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by (33 + -30)\/(2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3634418560 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24890?\nAnswer: 2, 5, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28347 + -0.1853221.\nAnswer: -28347.1853221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -27 - 31) + 11 + (-3 - -43)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-348)\/(-32))\/(39\/208))\/(-2)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2639529.\nAnswer: 3, 313, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 13*n - 46*n + 14 - 11 - 9. Let a be c(-3). Let k = a + -46. What are the prime factors of k?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f**(-11))\/f))\/((f\/f**(-15)*f)\/f)*f**(2\/3)*f*f**(-1) assuming f is positive.\nAnswer: f**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -1\/42*x**7 + 7*x**2 - 35\/24*x**4 + 0 - 5*x - 3\/4*x**5 - 5\/24*x**6 - 5\/3*x**3. Factor t(h).\nAnswer: -5*(h + 1)**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**3\/3 - 7*i**2 - 5*i + 5. Let g be c(-11). Suppose -4*o + 4*a + g = 0, -o + 3*o - 23 = -a. Is 9 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247325\/221 + (-9)\/((-306)\/(-4)).\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/1194706 or 1?\nAnswer: 33\/1194706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctcppjcppcckpp. What is prob of picking 2 c and 1 p?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - w**2 + 35*w + 24. Calculate h(7).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l. Suppose l*f = f - 3. Which is the nearest to -4? (a) f (b) -2\/11 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6146165689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -887*o**3 - 6215*o**2 + 3196*o**3 + 95*o**3 + 483*o**2 wrt o?\nAnswer: 14424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-three fifths of a millimeter?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, -2, -148 in decreasing order.\nAnswer: 8, -1, -2, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -3.5. Let p = t - -2. Let u = p - 2.13. What is u rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 225484038*g**3*w**2*x**2 - 961*g**3*x - 3*g**2*w + g*w**2*x - 266*g - 2*w*x**2 wrt w.\nAnswer: 450968076*g**3*x**2 + 2*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6\/5)*(p*p**12)\/p)\/((p*p**(-1\/16)\/p)\/p**(-4\/3)) assuming p is positive.\nAnswer: p**(2287\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -17.41*1.401\nAnswer: -24.39141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*v - 23*v = 47*v - 689744. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78555.9956429 + 78556. Round n to four dps.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001658096 rounded to six decimal places?\nAnswer: -0.001658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2736) + -4 + sqrt(2736)*-3 + 2 - ((-2*sqrt(2736)*6 - 4*(sqrt(2736) + 1)) + 4)) + -1)**2.\nAnswer: -1008*sqrt(19) + 536265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 944395384?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 4*x**2 - 2*x - 1. Let v be w(3). Suppose 3*p - z = 2, -4*p = -3*z + z - 4. Suppose p = -3*u - v*u + 5. Put 3, -5, u in descending order.\nAnswer: 3, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -10. Let f = 0 + 0. What is the second biggest value in f, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 12:15 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 3*t**2 + 0*t**2 + 13.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftfvpfvflfvqfvl. What is prob of sequence ql?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2021, -6921, -11819, -16715, -21609, -26501?\nAnswer: -31391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -648b5 + -2232?\nAnswer: -66b07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4906896725.\nAnswer: 5, 433, 453293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - m - 1. Let x(b) = 3*b**2 + 9*b. Let s = -1 + 5. Let f(t) = s*v(t) + x(t). Let i = 18 - 13. Give f(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 0 - 4\/3*u**3 + 0*u**4 + 0*u - 27*u**2 + 1\/30*u**5 + 53\/120*u**6. What is the third derivative of t(z) wrt z?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0051511014 to five dps.\nAnswer: 0.00515","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -40249.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 826*r + 20. Let k be 410\/2 + (-2 - (-3 + 2)). Let b be 2\/5 - k\/10. Let p be f(b). What is p rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 1\/6, -2, -2.927?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 106 - 84. Let p = 254 + -167. What is the remainder when p is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10969 is divided by 5477.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + (399\/(-57) - -16).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27119 and 1457.\nAnswer: 840689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-97 - -87) + ((-2704)\/(-273) - 6) + 6*1.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-23296992)\/(-2400) - 2\/25.\nAnswer: 17, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10530.9 * 0.035\nAnswer: 368.5815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 10, -3*k + 18 = -4*t - 2. Let c be k - 2 - 2\/4*-122. Suppose 4*h + c - 99 = 0. Solve 0 = 5*a + 2*m + 27, a - 4*m - h = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 62, -2, 104.\nAnswer: -2, 5, 62, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 2*o + 25. Let g be 5 - 0*(-2)\/(-4). Let i = -85 + 82. Sort i, o, g in ascending order.\nAnswer: o, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48663 (base 10) to base 14.\nAnswer: -13a3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 9:33 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p - 616 = 19*p. Let g = 218 - p. What is the greatest common divisor of g and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5243648 is divided by 339?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -141, -591, -1349, -2421, -3813, -5531, -7581?\n\"Answer: -q**3 - 148*q**2 + q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.4, 17, -3\/4, 1161\/2 in descending order.\nAnswer: 1161\/2, 17, -0.4, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/(3816\/8586).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 5*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 2*n + 2*w + 3*w, -5*n - 78 = w. Let u(v) = v**2 + 15*v + 4. Let f be u(n). Solve 5*s + 6 + f = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -j + 5*f, 0*j = -4*j + f + 160. Calculate the remainder when 5821 is divided by j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*u - 26*u + 15*u**2 - 61*u**2)*(3 - 3 + 2*u).\nAnswer: -92*u**3 - 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) + 93\/(-205). Let n = k + -6\/41. Let d = 0.737 - 0.337. Which is the closest to 1\/3? (a) n (b) d (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from {h: 1, n: 4, b: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 568609\/21 - 27065. Let l = p - 34\/3. Let d = 20\/7 + -86\/35. Which is the nearest to d? (a) 0.1 (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65878593967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.202792 rounded to 3 decimal places?\nAnswer: 0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 7*y - 14. Let z be r(-9). Suppose d - 2*d + z*p = -18, 0 = -2*d - p. Suppose -k - 10 = -3*k, 0 = d*l - 5*k - 1333. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**7\/210 + 13*h**6\/120 + h**5\/20 + 53*h**4\/12 - 2464*h**2. Find the third derivative of g(s) wrt s.\nAnswer: -24*s + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 47*g + 4. Let k be n(3). Suppose 256 - 29 = 5*p + 3*x, 3*p + 4*x - k = 0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98841, 99287, 99721, 100137, 100529, 100891, 101217, 101501?\nAnswer: 101737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d46 (base 15) to base 11.\nAnswer: -7356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5311*h - 46*h**2 - 2660*h - 2651*h + 598*h**2.\nAnswer: 552*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quq when three letters picked without replacement from qwwwqqwquwq.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18281 is divided by 223?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2790216.3 seconds?\nAnswer: 46503.605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, 170811 in increasing order.\nAnswer: 0, 9, 170811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 156863023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/16 + -5)\/((-1)\/24). Let f = 112 - i. Which is the biggest value? (a) 1\/4 (b) -0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - 16. Let t = u + 20.991. What is t rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/278 and -29\/227.\nAnswer: 63106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14577.08 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4487 - 885*v**2 + 8981 - 265*v - 4492 wrt v.\nAnswer: -1770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2. Let z(r) = 2*r**2 - 1866*r - 6. Determine z(h(f)).\nAnswer: 2*f**4 - 1866*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z**4\/11 - 4410*z**3\/11 - 26316*z**2\/11 - 4776*z - 34992\/11 = 0 for z.\nAnswer: -729, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**4 - 4*x**3 + 8*x**2 + 8*x + 8. Suppose -24 + 25 = -z. Let u(g) = g**4 - g**3 + g + 1. Let j = 18 - 10. Let t(d) = j*u(d) + z*s(d). Factor t(l).\nAnswer: 4*l**2*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 8. Suppose 3*m = 3*o - 15, 4*m - 4 = -2*o + q. Solve m*b + 10 = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 7*q - 5*f - 14, -q - 5*f + 16 = 0. What is the remainder when 44 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, -25, -5, -1.1, -197, 0.2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 - ((-31 - 4) + 43 - 10).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from {g: 7, a: 1, o: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6802*b = 6801*b - 1, 0 = 2*s - b - 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 5. Let n be z(0). Let l be 33 - 32 - (-2 + -3). Sort n, l, 1, 3 in decreasing order.\nAnswer: l, 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 3*k - 4*k - 26 = 0, 2*x - 9 = -k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhrf when four letters picked without replacement from {o: 1, c: 3, h: 1, r: 3, f: 2, q: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from {n: 1, b: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1377 (base 16) to base 6\nAnswer: -35023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -18. Which is the fourth smallest value? (a) 18 (b) -4\/7 (c) h (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**2 - 2*x + 2. Let m be t(-5). Let c be m\/(-3) - 3\/(-9). Suppose 0 = -0*d + 2*d - c. What is the remainder when 36 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and ((84 - 0)\/(-6))\/((-2)\/2).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 60 = 3*q, -m - 3*q = 4*m - 4*q + 5*q + 96 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 100.64825 and -27?\nAnswer: 127.64825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 10. Let g(r) = 11*r**2 + 5*r + 7. Let c be g(y). Suppose -5*i - 43 - c = -3*b, 0 = -5*b + i + 576. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*l**2 + 4*l - 15*l - 8724*l**3 - 6*l + 210*l**2 wrt l.\nAnswer: -52344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 1915115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2. Let j = -1 + 5. Let t be j + 1\/(-1)*-1. Let u(q) = q - t*q + 7*q. Give x(u(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1842 a factor of 50671578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5\/(h\/(h**7*h)))\/((h**1*h)\/h)**(14\/13) assuming h is positive.\nAnswer: h**(142\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/8 - (-8)\/32. Suppose -b = b - f. Calculate the remainder when b is divided by 4\/(-14) + (-336)\/(-147).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*d - 4216 = 93*d - 2*h, 4*h - 4224 = -2*d. Calculate the remainder when d is divided by 88.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90675, -181309, -271901, -362451, -452959, -543425?\nAnswer: -633849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 1183, 159 in decreasing order.\nAnswer: 1183, 159, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -2 + (166 - 200).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 434756743 - 2?\nAnswer: 434756741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 274?\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {n: 1, y: 3, z: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, t: 3, g: 2, p: 6, s: 1}. Give prob of picking 2 g and 2 i.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c**3 + c**3 - 116932*c + 58468*c + 58464*c.\nAnswer: -21*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -152*m - 1. Let a(i) = i**2 - 12*i**2 + 6*i**2 + 7*i**2. Determine a(y(f)).\nAnswer: 46208*f**2 + 608*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2123328ng in milligrams?\nAnswer: 0.0000002123328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 506182.345 to the nearest 1000.\nAnswer: 506000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 3:53 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**2 + 2879154*j + 2072381938929 = 0.\nAnswer: -1439577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (31\/868)\/(1\/(-36))\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 2101200?\nAnswer: 2101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/111 + 59\/333. What is the nearest to -1\/4 in -2, i, 2\/17, 2\/13?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2396*(8\/4)\/(-8). Let k = -5387\/9 + d. Which is the closest to 3\/7? (a) k (b) 3\/8 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z + 36. Let a(n) = n**2 - 19*n + 25. Find the common denominator of 24\/5 and a(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/12*(3\/9 + -4). Suppose -5*x + 2*x + 18 = 0. Let g be x\/4*4\/9. Is o greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5568\/(-435))\/((2\/45)\/((-4)\/(-36))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 144110*n**2. Let r(g) = -2*g**2. What is x(r(m))?\nAnswer: 576440*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -687 + 996. Let g = s + -102. Is 69 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 14*a**2)*(1 - 1 + 2*a).\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2809*u. Let b(w) = 6*w + 1037*w**2 - 6*w - 1036*w**2. Give m(b(l)).\nAnswer: 2809*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1616576)\/174)\/(-134))\/((-11)\/((-165)\/(-10)))?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azaaaaldlallalazla. What is prob of sequence al?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10153 is divided by 598?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.03757km to centimeters.\nAnswer: 8503757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*p + 0 + 4 = 0, 0 = -2*j - p + 18. Solve -u - 3*x = -11, 0*u - 4*u - 3*x = -j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6983285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/5 - 49*17\/595. Which is the nearest to g? (a) 3\/52 (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2800786 + 17182822067\/6135. Find the common denominator of i and 25\/4.\nAnswer: 24540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8610324?\nAnswer: 2, 3, 717527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1517000 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 2 (b) 233 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*u + 7362 = -159*u for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a - 37*a**3 - 42*a**3 + 68*a**3 + 14 with respect to a.\nAnswer: -33*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.091512 to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 12.1954 and -2\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -120 - -168. Suppose -5*a - 13 = -m. Calculate the remainder when 18 - 0\/(1 - -1) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 5:58 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d + 2. Let p(i) = 2. Let m(j) = 2*p(j) - 2*z(j). Let k(l) = 2 - 2 - l**2. Calculate k(m(n)).\nAnswer: -100*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (12 + (-49 - 8) + -13)) + -12?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 399540343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**5 + 32*a**4 + 44*a**3 - 280*a**2 - 544*a - 256 = 0.\nAnswer: -2, -1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12, 6, 0, -6, -12?\n\"Answer: -6*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 0, -11, -38, -87, -164, -275?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8573, -17165, -25767, -34379, -43001?\n\"Answer: -5*u**2 - 8577*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -11 - (-27 - (-30 - -4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -560.3 - -560. Let o = 0.2 + -0.3. What is the closest to o in 1\/4, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143646 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-154))\/(-3)*104\/((-8944)\/602)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 37 and -382740758.\nAnswer: -382740721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3865 divided by 1314.\nAnswer: 3865\/1314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 8. Solve -b*g - 4 = -2*l - 0*l, -3*l + 8 = -4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j - 4*j - 2*j + (-2 + 0 + 0)*(3 - 3 - j) - 5*j - 838 + 0*j + 839 in the form y + d*j and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1353248 to the power of 1\/2, to the nearest integer?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = -7*b + 257. Let u(i) = -i**3 - 2*i - 1. What is u(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29108.8 rounded to the nearest one hundred?\nAnswer: 29100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 233441\/22 - 10613. Calculate the common denominator of o and -109\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 144 = 8*j. Suppose -2*q = 2 - 6, -3*p + 3*q = -j. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 1:59 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) 29 (c) 0.09 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -23. Suppose 0 = -z*k - 0*k + 422. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + q + 4. Let n be z(3). Let w be (-20)\/4 + (7 - 8 - 556). Let y = 564 + w. Solve y*g = 4*h - n, -g + 4*g - 4 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-547*n + 1775*n - 737*n)*(5*n - 2*n + 0*n) + (1 + 1 - 1)*(-2*n**2 + 0*n**2 + n**2) + n**2 - n**2 - n**2 to k + h*n**2 + d*n and give h.\nAnswer: 1471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121 + 217. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 4 (c) -0.32 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + 9. Let n = u - 0. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-351)\/(-18)) - 5*145\/75?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 83\/((-33)\/18 - -2). Suppose 3*o - l - 518 = t, -o + 332 = l. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 4*x - 2*x)*(0*x + 13*x - 3*x) - x**2 + 0*x**2 - x**2 + 2*x**2 + 2*x**2 - 2*x**2.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 606?\nAnswer: 6666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2343*x - 356093. Determine l(-152).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413508670 divided by 82701734.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225661 = 19*g - 530140. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -w - 10, 4*w - 3*w - 2*t = 4. Suppose w = -q + 1 + 10. Which is the smallest value? (a) q (b) 1\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - q. Let r(i) = 30*i**2 - 18*i - 12. Let c(u) = 36*p(u) - 2*r(u). Let o(l) = l**2 - 1. Let w(m) = c(m) + 20*o(m). Factor w(n).\nAnswer: -4*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-2))\/(-10 - -11). Suppose -4*j + j = -k. What is the least common multiple of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + sqrt(99) + -2 + sqrt(99) + sqrt(99)*-2*-6 + (1 + 2 + sqrt(99) + -1 + sqrt(99))**2 + 2.\nAnswer: 66*sqrt(11) + 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**4\/5 + 143417*m**3 + 7888032*m**2\/5 + 3442068*m - 25815456\/5 = 0.\nAnswer: -6, 1, 717096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000027276 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + n + 0*n**2 - 6*n - 3*n**2 - n.\nAnswer: -5*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 2*x + 1. Let p be a(2). Suppose 4*r + p = 2*i - 35, -78 = -4*i + 2*r. Calculate the smallest common multiple of i and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 4178*d + 4363921.\nAnswer: (d - 2089)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000770686 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from ggiglri?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 330495 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*g = 38*g - 4292 - 4204 for g.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 1 + 250*n**2 - 124*n**2 - 122*n**2 - 3*n - 4. Let k be j(3). Let b(v) = -4*v - 4. Let y be b(-3). Calculate the highest common factor of y and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -5*c**6\/3 - 14*c**5\/5 + 3*c**4\/2 + 14*c**3\/3 + 2*c**2 - 150. What is n in h(n) = 0?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19609717 and 6452584.\nAnswer: 26062301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.5 - -19.3. Let q = m - 14.7999763. Round q to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -1)*(6\/3)\/(-4). Let j(f) = 7*f**2 - 3*f - 1. Suppose -y + 4*y - 51 = 0. Calculate the remainder when y is divided by j(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -13*i**2 + 3*i - 1. Let x be c(1). Let h(o) = o**2 + 15*o + 48. Let z be h(x). Solve -16*s + 17*s - z = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + -1 + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -7. Suppose 0*p + j*p = 4, -4*y - 4*p + 28 = 0. Solve -g + 6*g = y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 c, 1 s, and 1 j when four letters picked without replacement from {s: 4, d: 5, j: 2, c: 4}.\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, g: 1, j: 6, i: 3}. What is prob of picking 2 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/37 + 168\/185. What is the closest to -3 in -0.2, 2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.4 + -56.4. Let j = 30 + k. Put -1\/6, j, 0.4 in ascending order.\nAnswer: j, -1\/6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1*4*sqrt(108) + sqrt(108) + -4*sqrt(108)*6)**2 + 2)*-1 + 5.\nAnswer: -78729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, y: 1, u: 2, t: 1, k: 2}. What is prob of sequence bb?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89217 is divided by 187.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1823559*h*p**2*u + 37*h*u**3 - 330*p**2*u**2 + p**2*u + 106*p*u**3 - 1004*p*u**2 wrt h.\nAnswer: 1823559*p**2*u + 37*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**8\/4032 + l**7\/63 + l**5\/4 + l**4\/12 + 210*l**2. Let w(s) be the third derivative of k(s). Factor w(h).\nAnswer: 5*h*(h + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 15 = 4*j - 0*t, 2*t - 13 = -5*j. Let u be (j\/2)\/(3\/4). Factor 0*f - 9*f**u + 3*f - f.\nAnswer: -f*(9*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21*-0.0638\nAnswer: -1.3398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**5 - 27*k**4 - 3996*k**3 + 2*k**2 + 95*k - 47?\nAnswer: -60*k**2 - 648*k - 23976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.112043 or -2?\nAnswer: 0.112043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2505?\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5682 - 2865. Does 26 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 519 - 529. Let z = f + 17. What is the remainder when z is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 687 + 1?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 7:49 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 14. Let m(v) = -2*v**3 + 2*v**2 + v - 1. Let a be m(-1). Suppose a*u - n = c, 0*n - 5*n = 2*u + 21. Solve 4*g + u = -14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53139166*x**5 + 3*x + 7091763.\nAnswer: -1062783320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(2 + 153\/(-75)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 12*g**2 - 10*g + 13. Let q be l(3). Suppose -3*n - 2*n - 360 = 0. Let y = q + n. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65289?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10))\/((-204)\/(-11220))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p + 10. Let o(a) = 2 - 2 - 4*a - 1 - 7*a + 12*a. Determine -5*o(q) - t(q).\nAnswer: -q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 - 5*d**2 + 0*d**2. Let x = 7 - 5. Let i(h) = 4 - 4 + 4*h**x. What is v(i(f))?\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/((-4)\/(-1)))\/1. Let p(o) = -88*o**3 - 3*o**2 + o + 1. Let g be p(f). Is g\/(-6) + (-2)\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0198 - 322.\nAnswer: -322.0198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10*(6\/24 + 1\/4). Let l(f) = -17*f**2 + 216*f**2 - f + d + 192*f**2 - 6. Is l(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592.8482um in millimeters?\nAnswer: 0.5928482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 279 - 723 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22319 and 22319.\nAnswer: 22319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 6. Calculate d(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-9))\/(-8)*-8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + -2)**2*5 + sqrt(2299) - 3*(-2 + sqrt(2299))) + -4*((0 + sqrt(2299))*-1 + (sqrt(2299) + 0 + sqrt(2299))**2*2).\nAnswer: -62047 - 198*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 7 = -3*t, -14 = -5*t - 5*x + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 3*i**2 - 21*i + 4. Determine q(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 0)*2\/2. Let w be 6\/(-24) + 75\/12. Suppose 0 = w*a + 6. Sort -2\/7, m, 0.4, a in increasing order.\nAnswer: a, -2\/7, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 3*g**2 + 9*g - 1\/6*g**3 + 0. Calculate j(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g = 19*g + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 745*v + 17 + 742*v)*(-7*v + 13*v + 3*v).\nAnswer: -27*v**2 + 135*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 10:38 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c + 3. Let f = 83 + 59. Let a = f + -138. Give w(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**3 + 32*q**2 - 13*q - 5. Give l(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4332*f - 2867*f - 45415 = 0 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9684*r + 9149*r - 29960 for r.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-4))\/6*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-22) + 3780\/(-13167).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161.5 + -157.5. Which is the closest to -0.1? (a) -8 (b) -13\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -8*d + 8. Let s(a) = -a**2 - 4*a - 3. Give s(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 106.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 + (-206 - -92) + (103 + -5 - 4)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8928069600 to the nearest 1000000.\nAnswer: 8928000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 9:06 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13da + 2?\nAnswer: 13dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 874882 and 1442?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -6*c**2. Let i(n) = -139*n**2. What is j(i(m))?\nAnswer: -115926*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 203 + 62. Suppose -2*w - 51 = w - 3*z, 3*w + h = z. Let v be (-5 - -9)\/((-2)\/w). Calculate the highest common divisor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -6*p - p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q = 55*q + 112. Let a(m) = -2*m**3 - 9*m**2 - 5*m + 1. Give a(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 178990.9 to the nearest 100.\nAnswer: 179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**4\/12 + o**3\/6 + 14*o**2. Let m be (-2)\/((-8)\/3 + 2). Suppose 5*a + 2*h = 19, -4*a - m*h + 18 = -0. What is i(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 4:53 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 489 = -449. Solve j = 16*g - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**38*a*a*a*a**(-1\/4) assuming a is positive.\nAnswer: a**(163\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 671 - -574. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111*y**4 - 1984300*y**3 - 836496844*y**2 + 1 wrt y.\nAnswer: 2664*y - 11905800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1999662 and 2352.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60*z**2 - 36*z**2 + 136*z**2)*(-36*z + 63*z - 28*z)*(7 + 5 - 1) to p*z**3 + y*z**2 + f + b*z and give p.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 greater than -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 bigger than 451\/96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 13, 15, 17?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 5:12 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -102 * 142.111\nAnswer: -14495.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22707982 to the nearest integer?\nAnswer: 4765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22424161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51881300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153 and 897.\nAnswer: 45747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.8 and -520253?\nAnswer: 520252.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in months?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5611 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 - 40*v**2 + 43*v + 24. Let j be k(-21). Suppose -g - 61 = 3*i, -4*i - 2*g = -j*g + 86. Which is smaller: i or -19?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 147\/(-35) + (-17)\/(-85). Sort 0.17, -0.3, c in increasing order.\nAnswer: c, -0.3, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(468)*-1 + 4)**2.\nAnswer: -48*sqrt(13) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2. Let p(r) = -17839*r. Determine u(p(l)).\nAnswer: -318229921*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399 = 33*r + 1095 + 393 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4458359183 to the nearest integer?\nAnswer: 66771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, k: 4, l: 5, o: 8}. What is prob of sequence lxoo?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2 + 57*y - 48*y - 2 + 6*y**2 - 3*y**3 = 0. What is y?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-4284)*2615868\/(-24). Let q = h + 1276\/17. Calculate the common denominator of q and -5\/18.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -4 + 9 - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*r + 1236 - 1808 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 6723631.\nAnswer: 40341786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3724091018?\nAnswer: 2, 443, 4203263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60959 and 6709381?\nAnswer: 315340907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2)*-1*-1 - (-2 + (sqrt(162) - (sqrt(162) + -1))**2).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1147*m + 3 + 2 + 1.\nAnswer: 1147*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(20\/(-95)))\/(14\/((-448)\/16))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073.19823 rounded to zero decimal places?\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 335769362*h**4 + 2*h**2 - 5*h - 16067754.\nAnswer: 4029232344*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 521*s - 4. Let f(w) = -203711*w + 1563. Calculate 4*f(i) + 1563*r(i).\nAnswer: -521*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - s + 1. Calculate the least common multiple of l(0) and (-27*(-90)\/486)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t**3 + 33*t**2 + 33*t - 3. Let v(g) = -13*g**3 - 65*g**2 - 66*g + 7. Let j(w) = 7*r(w) + 3*v(w). Determine l, given that j(l) = 0.\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7)*p*p*p\/(p\/p**(-2\/11))*p*p**(1\/3)*p**0*p)**31 assuming p is positive.\nAnswer: p**(27683\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xttxxxextpkpttie. Give prob of picking 1 e and 1 x.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cciiiciiciiiciicii. Give prob of sequence ii.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 17745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + v + 5. What is f(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 12, 48, 104, 186, 300, 452, 648?\nAnswer: 894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 11:53 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + b + 55. Let c be n(0). Suppose 0*z = -5*z - c. Let r = z - -24. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1382 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 14 - -28 - (1023 + -996)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*4.26.\nAnswer: 0.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 121?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**4\/12 + 2*d**3\/3 - 8*d**2. Let h be q(4). Is 3 - (0 + 172)\/h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + 1 - ((25 - 13) + (-9 - 1)) - 2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.006 and 265207?\nAnswer: -1591.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 657364865 to the power of 1\/3, to the nearest integer?\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 8*u - 194. Suppose -u*j = -16*j - 680. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1338888879 to the nearest integer?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1\/2, 325?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**2*q**4 - 11*h**2*q**2 - 2*h**2 + 28*h*q**6 - 2*h*q**2 wrt q?\nAnswer: 24*h**2*q + 3360*h*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/44 - 2600\/23760?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 12*g**2 + 2. Let o(w) = -3*w**2. Determine f(o(q)).\nAnswer: 108*q**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-90924)\/180 - (-1 + 3). Let a(p) = 20*p**3 + 3*p**2 - p. Let w be a(-3). Let y = o - w. Find the common denominator of 64\/3 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v - 8. Let z(x) = -3*x - 6. Let r(g) = 5*q(g) - 7*z(g). What is r(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 16 = -k, -29*k + 4 = -25*k - 5*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*n = 2*w, 4*w = 3*n + 35. Suppose -1887 - 759 = -w*o + 3*c, 3*c = 4*o - 2118. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -15, 9, 5, 2.\nAnswer: -15, 1, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**5 + 2825*p**4 + 414893*p**3 + 16254919*p**2 + 45902850*p + 30060000 = 0.\nAnswer: -2672, -75, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(4\/3)*r)\/(r*r**3\/r*r))**(2\/7) assuming r is positive.\nAnswer: r**(-20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6645 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1272*s + 35 = w - 1268*s, 0 = 5*w + 2*s - 31. Find l such that -4\/7*l**w + 228\/7*l - 116\/7 - 108\/7*l**2 = 0.\nAnswer: -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165 divided by 33\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.9305*-0.1\nAnswer: 0.09305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 21 - 16*s**2 + s**3 - 28 - 34*s + 11*s**2. Calculate the remainder when 114 is divided by a(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b (base 14) to base 7\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/s**(-2))))\/s)**(-11\/4)\/(((s**(-2)*s*s)\/s)\/s*s)**(4\/13) assuming s is positive.\nAnswer: s**(-135\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2990473203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011011 (base 2) in base 15?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12, -80 in increasing order.\nAnswer: -80, -12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 248\/32987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 345, 342, 337, 330, 321, 310, 297?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 6*q**2 - q + 1. Let b = 40 + -37. What is the remainder when l(b) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -797 - -783. Is (823294\/(-511))\/(2\/b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*p + 30*p - 54*p - 25*p to c*p + i and give c.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -23*j - 1865. Let x be p(-81). Sort x, 1061, -1, 5.\nAnswer: x, -1, 5, 1061","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, k: 1}. What is prob of sequence ak?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 4*i + 2*i**2 + i**3 - 4*i**2.\nAnswer: i**3 + 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 451 and 12647\/28 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -564578 minus -207?\nAnswer: -564371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-4*sqrt(325) - sqrt(325)) + 0 - sqrt(325) - sqrt(325)))**2.\nAnswer: 254800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 3*s + 8, -50*h + 4*s - 331 + 115 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 5*o - 4. Suppose 0 = -13*p - 701 - 1405. Let d = p - -158. Calculate b(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1208 + 1208.01947. Round p to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2 - 22. Let p(n) = -8*n**2 - 10*n - 5. Let h(t) = -6*t**2 - 4*t - 2. Let m(z) = -5*h(z) + 2*p(z). Calculate m(q(s)).\nAnswer: 126*s**4 + 1848*s**2 + 6776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 9*h + 1925 = 0. Let q = 447 + h. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006002512 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000101000000100111 - 11?\nAnswer: 10000101000000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*n + 53*n - 45 = 0. Solve 4*a = a + n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 636660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2235.83 + -2256. Let q = 0.17 + f. Let i = q + 20.000084. What is i rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 3 - 3 - 1 + 2*w + 1 + (0 - w + 0)*(-1 + 0 - 1) - 3 + w + 3 + (4 - 5 - 3)*(3*w + 3 - 3) to b*w + s and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34.3 - -42.7. Let a = u + -78. Put 2, -95, a in descending order.\nAnswer: 2, a, -95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 9 = 3*v, -4*v = -3*v + o - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1383866224 to the nearest 1000000.\nAnswer: -1384000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 3*t - 15, 0*d = -2*d - 5*t + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + 13 + -14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sjssjsssjssssj.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 101188696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8832 = -4*a - l + 10888, -3*l - 24667 = -5*a. List the prime factors of a.\nAnswer: 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d. Suppose -t + 0 = -2. Let o be x(t). Suppose -o*y - 41 = 27. Which is greater: y or -35?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-288)\/(-336))\/(7\/((-49)\/20)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, r: 17}. Give prob of picking 3 r.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39105\/4606 + 428\/49. Is a smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 4*o + 42, -2*n + 4*o + 14 = o. Let s = -41 - -79. Suppose s = 7*z - 74. Calculate the remainder when z is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -895192*m + 38*m**2 + 895192*m.\nAnswer: 38*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 - 85*n**2\/2 + 308*n.\nAnswer: n*(n - 77)*(n - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 3. Let k be g(7). Suppose k*h + h = -45. Let c be 6\/h*27\/(-6). Solve 0 = -2*o + y + 3, -c*o - 2 + 11 = -3*y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 + 207. Let y = c + -101.0000067. Round y to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2971488263.\nAnswer: 2971488263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4812 by 15984.\nAnswer: -401\/1332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 - 2*p**2 + p**2 - p**2. Let r(s) = -8*s**2. Calculate d(r(q)).\nAnswer: -256*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*k - 8*k. Let q be (0\/3)\/(2\/k). Solve -b - b - 8 = q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28013710 to the power of 1\/2, to the nearest integer?\nAnswer: 5293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 205, 1559, 5193, 12247, 23861, 41175, 65329, 97463?\n\"Answer: 190*p**3 + 24*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + k + 8 = 0, 3*r - 4*k + 0*k = 29. Let n be 8\/(-10)*2\/16. What is the nearest to 0.1 in r, n, -1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.486 + -0.404. Let s = 1.1 - 1.21. Let o = n + s. Put 0.3, o, 2\/3 in increasing order.\nAnswer: o, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176331295?\nAnswer: 5, 7, 5038037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 37*i**2 + 346*i - 93. Calculate t(-18).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3701 = -141*l + 317 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 9611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 4 + 0)*(11*x + 25*x + 19*x) - 3*x - 2*x + 4*x)*(-1 - 3*x**2 - 3*x**2 + 5*x**2) as g*x**3 + l + j*x + i*x**2 and give g.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**5\/5 + v**4\/4 + 2*v**3\/3 + 2*v**2 + 2066*v. Let t(o) = -23*o**3 - 17*o**2 - 23*o - 23. Determine 34*c(i) + 6*t(i).\nAnswer: -2*i**3 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 212 + -81. Let y be ((-16)\/(-10))\/(6\/15). Let t be (-12)\/y + -2 + n. Calculate the highest common divisor of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86227 and 13635113.\nAnswer: 3749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31702 (base 16) to base 15.\nAnswer: -3eeed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/r*r\/(r\/r**(-2\/3)*r)*r*r*r*r**(-5)*r**(-4\/3))\/((r\/(r*r**2*r))\/((r\/(r\/(r*r**5\/r*r)*r))\/r)*r**(-1\/2)*r**(-2\/17)*r) assuming r is positive.\nAnswer: r**(-81\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*b + 3*b + 2*b)*(-3 - 2*b**2 + 3)*(1 - 5 + 3) + 2*b**2 - b**2 - 2*b**3 - b**3.\nAnswer: 57*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 838878651162 and -0.4?\nAnswer: 838878651162.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37522?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00065157 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2 = -0*t + 2*j, 9 = t + 4*j. Suppose t = s + 4. Is -3 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 62\/(-10) + 1\/5. Let d = 1 - j. Solve 5*f = h - 19, -4*f - d = f + 2*h for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144 - 30401?\nAnswer: -31100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z + 778 = 526 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/4 + 3915*g**3\/2 + 39075*g**2\/4.\nAnswer: 3*g**2*(g + 5)*(g + 2605)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g - 44 + 164 = 37*g. Suppose 2*k = 2*m - 2, -2*k = -0*m - 4*m + 12. Suppose q - k*h = 143 - g, 2*q - 178 = h. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 424252990 to the nearest integer?\nAnswer: 20597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 4*o**2 - 4*o + 3. Let b be v(2). Suppose 6 = -2*r - 2*x - 2, 5*r + 3*x + 18 = 0. Put b, 4, r in descending order.\nAnswer: 4, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 18. Let n be 39\/((-9)\/(0 + 3)). Is n less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 3787006 = -12*h - 2*o, 2*h - 1514815 = 5*o. What is h rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llk when three letters picked without replacement from {l: 2, k: 1, r: 1, f: 2, c: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6 = 0, 0 = -4*u - s + 2932 + 2415. Let b = u + -286. What is b rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 238282810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 10*i + 8*i = 6, 0 = -2*i - 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 424*x.\nAnswer: -2*x*(x + 212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**3 - 4063*n - 3574*n - 6*n**3.\nAnswer: -n**3 - 7637*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -43 + (17 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54 - -301?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 - 28. Calculate the remainder when c is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 455 and 6510?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(4*(-4)\/(-320)). Let y = x - 14. Suppose -10*h + y*h + 8 = 0. Solve -h*k - 3*k + 15 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*i - 28440, -25*i + 71094 = -20*i + 4*n. What are the prime factors of i?\nAnswer: 2, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11220 by 5.\nAnswer: 2244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 11564, 187, -2 in decreasing order.\nAnswer: 11564, 187, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119990 divided by -4.\nAnswer: 59995\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 6:55 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -147159.275 - 7.4?\nAnswer: -147166.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Suppose 2*m = 4*s + 1114, -5*s - 6*m + 2*m - 1425 = 0. Let n = s - -287. Solve -n*l - 24 = -4*f - h*l, -3*f = l - 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 - 34214329940.\nAnswer: -34214329912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -25. Suppose -j + 9 - 5 = b. Solve 8 = f + m, -j*m = -f - f - 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14 + (-52)\/14. What is the common denominator of 9\/14 and 134\/(-20)*2\/o?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 444*n**2 - 3406*n - 3852.\nAnswer: -2*(n - 214)*(n - 9)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*s = -3*r + 318, 4*r = -5*s + 247. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l - 4*s - 10, -s = -5*l + 11. Let h(b) = -7 - 4*b + 4*b**2 + 9*b**2 + b**3 - 3*b**l. Let u be h(-8). What is u rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 2:50 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13 - -9)*(-102)\/8. Suppose 0 = 5*t - g + 6. Suppose -3*d + 4 = -j - 7, d - t = -j. Solve -d*x - 26 = 4*i, 4*x - 6*x + 16 = -5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 26113168, -4 in increasing order.\nAnswer: -4, 5, 26113168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2027539297 to the power of 1\/2, to the nearest integer?\nAnswer: 45028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-15)\/2)*4014\/892.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3223381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 11. Let o(c) = -2*c**u + 2*c**2 - 1 - 2*c**3 + 0*c**3. Suppose 2 = -4*d + 6. Calculate o(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 178\/5 + (-2)\/(-5). Suppose x = -4*g - 2*o, -o + 12 = 3*g + 38. Let q(l) = 3*l**2 - l - 3. What is the tens digit of q(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 5*r**2 - 5*r + 4. Suppose -34*w - 5 = -31*w + 5*n, 5*w - 29 = n. Determine y(w).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 3*o**2 + o**2 + 0*o**2)*(4*o - o**3 - 4*o).\nAnswer: 2*o**5 - 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1275299 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/40)\/(21\/63). Let x(f) be the third derivative of 2*f**2 + 0*f**3 - 7\/120*f**6 + 0 - 1\/12*f**4 + 0*f + v*f**5. Let x(n) = 0. Calculate n.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 2561.\nAnswer: 15366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7874 + -4621. Let n = 16203\/5 - y. Find the common denominator of n and -50\/47.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234472928 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 12131724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 16*v - 306. Let d be m(-9). Solve d*u = 2*u + 7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339 = -3*u - 2*q, 5*u + q + 179 = -386. Let r = -1685\/3 + 14174\/21. Let h = r + u. Which is smaller: -0.08 or h?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -m + 3, -14 = -4*m - 3*l + 13. Let q = 12 + m. What is the remainder when 69 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m. Let z(b) = -b**2 - b**2 + 6*b**2 - 5*b**2. Determine y(z(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (445\/(-660))\/((-3)\/16). Let b = m + -42\/11. What is the closest to b in 3\/2, -1\/8, 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h - 2. Let d be k(-6). What is the common denominator of 4\/d - 177\/28 and 117\/(-28) - (-5)\/20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.031 + 1.301. Let i = g + -1.2700847. What is i rounded to six decimal places?\nAnswer: -0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**4 + 9*l**3 - 24*l**2 + 16*l = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3\/2 + 471*c**2 + 97371*c\/2 + 1660608.\nAnswer: 3*(c + 93)**2*(c + 128)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6 - 6*l + 0*l + 0*l - 9*l. Let q be u(-8). Suppose -3*t = -t - q. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + b - 3*b)*(-2*b - 1 + 1)*(6803 + 4906 + 2544 - 1792 - 2610) in the form n*b**2 + v*b + c and give n.\nAnswer: 39404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 858 = 6*v - 5180, 5*v = 2*n + 5007. What is the remainder when v is divided by 195?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14 + 100*w**4 + 182*w**2 - 182*w**2 wrt w.\nAnswer: 400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 541638\/99 + 2\/(-22). Let u(h) = o*h - 5 - 5471*h - h**3 - 3*h**2. Suppose -5*w + j - 23 = 0, -3*j = -5 - 4. What is u(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 - 7*k**2 - 3*k + 9. Let j = -17 + 13. Let m be v(j). Are m and 37 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7b - -3?\nAnswer: 7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 150*x. Let o(i) = 11*i - 2. Let m(n) = -61*n + 11. Let t(y) = -2*m(y) - 11*o(y). Determine t(k(j)).\nAnswer: 150*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15\/44 (b) 1\/2 (c) 1\/3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 6. Let f be o(-6). Let v be -1 + (-270)\/(-42) - 6. What is the closest to -1 in f, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392274828?\nAnswer: 2, 3, 11, 990593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3051\/7 - -79641\/182. Find the common denominator of t and 34\/91.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2112020012012 (base 3) in base 2?\nAnswer: -101000111110111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17992 by 4.\nAnswer: -4498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - v**3 + v**2)*(-1 + 6 - 4) + 5*v**3 - 3*v**3 - 3*v**3 - 2*v**3 + 0 + 2 + 7*v - v.\nAnswer: -4*v**3 + 6*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 74*c + 173. Calculate l(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 542, 1060, 1564, 2048, 2506, 2932?\nAnswer: 3320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-23 - -20) + 1*6. Let w be (4 - j)\/((-2)\/(-4)). Calculate the greatest common divisor of w and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6233559 smaller than -6233559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104 + 35*l**2 + 104)*(-2*l**2 + 0*l**2 + 4*l**2 + 3*l**2 - 2*l**2 - 2*l**2 + (l - 3*l + 4*l)*(-3*l + 0*l + l) - 69 + 69 - 3*l**2).\nAnswer: -210*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1.7. Let y = n + -0.8. Let z = -0.132 - y. What is z rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*c + 326 = -0*m, -5*m + 827 = -c. Let b = m + -160. Solve -5*f + 2 = -b*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11240550 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*x - 80*x**2 + 21*x - 52*x + 17*x + 5*x**3 wrt x?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 1 = k + 5*g, 4*g + 20 = 0. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 14 = 4*q. Let j = 0 - 0. Suppose j = 3*g, -q*w + 2*w + 20 = g. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**5\/20 - 3*b**4\/4 + b**3\/2 - 7*b**2\/2 - 23*b. Let c be y(9). What is the greatest common factor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + q - 1152 = 0, -4*q - q = -i + 246. Let o = i + 1. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -115*t + 0 + t**2 + 29\/6*t**3. Let i(q) = -q**2. Determine s(i(g)).\nAnswer: -29*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 2520524*i**2.\nAnswer: -4*i**2*(i - 630131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + (22 - (19 + -12)) + 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.229 take away -13452?\nAnswer: 13451.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdjwedeeeezezjze. What is prob of sequence dzzd?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1125 (base 6) in base 5?\nAnswer: -2034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*v - 3, 0*j - j = -5*v + 3. Let o = -7 + 7. Is 180 + 3 + (o - v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8758 by 2702.\nAnswer: -4379\/1351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.74 + 2.1. Let g = m - -0.6437. Round g to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2393, 4614, 6835, 9056?\nAnswer: 11277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -894 by 8962.\nAnswer: -447\/4481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2330732467377\/895945 + -13007118\/5. Let o = -168968432\/81172617 - f. Let i = 1\/604 - o. Calculate the common denominator of 91\/16 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001002 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 291913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.88 - 1. Let o = h - -0.22. Suppose -3*f - 3 = -6. Which is the closest to f? (a) o (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 4*p**2. Let k be y(-4). Factor 4 + k*z**2 - 6*z - 3*z**2 + 5*z**2.\nAnswer: 2*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1354 divide 123337214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 209507200 to the nearest 100000.\nAnswer: 209500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2670 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 17*u**2 + 17*u - 55. Let z(y) = -12*y**2 - 11*y + 37. Let t(i) = 5*d(i) + 7*z(i). Let k be t(-10). Solve 0 = 2*s - k*s - 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r*r\/r**(-2\/81)*r*r*r*r)\/r)**(2\/47) assuming r is positive.\nAnswer: r**(1300\/3807)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3805 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -118, -235, -352, -469?\n\"Answer: -117*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2, -16, -56, -1.\nAnswer: -56, -16, -2, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*s - 4*t, -3*t - 2 = 4*s - 3. Suppose -5*p + 2010 = 5*j, -s*p + 7*p = -2*j + 806. What is j rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.129 in 0.044, -7, -141?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213150 divided by 87.\nAnswer: -2450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l - 47*l = 38*l + 630 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 210.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551326343 is divided by 296.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34908 - 35538 = 35*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20221 + 0?\nAnswer: 20221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 15549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q. Let p be (-3)\/15 + (-11)\/(-5). Suppose p*l - 1 - 3 = 0. Let u(o) = 2*o**2 + o**2 + 0*o**l. What is c(u(a))?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*-1)\/(6\/(-30)). Suppose -x*u + 13 = -7. Solve u - 10 = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-5))\/(2\/10). Suppose 4*z + 3*g = 20, 5*g - k + 19 = 3*z. Suppose 2*s - s = 0. Sort 4, s, z in increasing order.\nAnswer: s, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v - 22*v + 630 = -1004. Sort -4, v, -1.\nAnswer: -4, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9997, -9972, -9947?\n\"Answer: 25*h - 10022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 3:46 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 61, 121, 181, 241, 301, 361?\n\"Answer: 60*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -6*c, 3*v + 5*c = 3. Suppose 7*s - 15 = 2*s. Suppose s*x = 7 + 2. Put v, 2, x in increasing order.\nAnswer: v, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 691650 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6.5868*-0.759\nAnswer: -4.9993812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 152, 1\/2, -0.7, -3, 2\/3, 5.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmur when four letters picked without replacement from {m: 3, u: 3, r: 6, y: 7}.\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f - 408 - 115 + 524 + 18*f.\nAnswer: -4*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 1. Let m(f) = 4*f**2 - 15. Let v(w) = -511*w - 1. Let p be v(0). Calculate p*m(a) + 6*d(a).\nAnswer: 2*a**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1119, -1110, -1095, -1074, -1047?\nAnswer: -1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13605531*q**3 + 2*q - 58522 wrt q?\nAnswer: 81633186*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14063064?\nAnswer: 2, 3, 43, 13627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**7\/2520 + c**5\/20 + 3*c**2. Let m(h) be the third derivative of b(h). Let t(v) = -3*v**2. Calculate t(m(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 55*n**3 + n**2 - n + 1. Let f be k(1). Let q = f + -66. Is q at most -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 7*m**2 - 5*m + 8. Let w be g(-6). Let k be 5*4690\/50 - 5\/1. Suppose w*s + k = 10*s. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 57, 96, 135, 174, 213?\n\"Answer: 39*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (0 + 4 - (2 - 6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 19*n + 4*n**2 - 6*n + 19 - 3 - 3*n**2. Let i be s(-12). Suppose 0 = 3*w - i*p + 26, w - 2 = -4*p + 16. Let d(x) = -x + 1. Determine d(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 54, 207, 456, 795, 1218?\n\"Answer: -m**3 + 54*m**2 - 2*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 u when three letters picked without replacement from {u: 3, v: 4, p: 6}.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*s - 284 = 0, 39 = -2*a + 2*s + 183. What is the remainder when 123 is divided by a?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544799640 divided by -8085?\nAnswer: -67384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 + 7*k - 2*k + k. Let v(q) = 7*q - 6 - 4*q - 3 + 1. Let s be v(4). Determine f(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 410 + -163. Suppose -11*o + 6 + g = 0. What is the remainder when o is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6198 times -6?\nAnswer: 37188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -12, 27, 2, -306, -26?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 214136928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257258559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**5\/60 - 7*s**4\/24 + s**3\/6 + 8*s**2. What is the tens digit of d(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -48*g + 49 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 479611224 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6.95 - 170304950.4\nAnswer: -170304943.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 10:58 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 10:25 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 6*v - 4*v)*(0*v**3 + 2*v**3 - 4*v**3) + ((3 - 3 - 2*v)*(-v - 3*v + 2*v) + 3*v**2 + 3*v**2 + v**2)*(4*v**2 - 9*v**2 - 4*v**2).\nAnswer: -101*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 2:45 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 52.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197768?\nAnswer: 2, 59, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208, -179, -146, -109?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41144 by 84.\nAnswer: -10286\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 2*t - 2, 5*l - 4*t - 41 = -54 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*f = 588, -2*f + 1739 = 3*i - 3*f. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2689 a factor of 326285918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r**2 + 25*r**2 - 94*r**2 + 18*r**2 + 27*r**2 + 27*r**2 - 18*r**2.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927762885?\nAnswer: 3, 5, 7, 31, 95009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*o + 1 - o**2 - o**4 - 35*o + 18*o**4 + 18*o**4 as j + c*o**2 + b*o**3 + l*o**4 + r*o and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 54. Calculate the remainder when 70 is divided by (-2)\/k - 5\/(-5)*18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -138.1 and -153.637.\nAnswer: -291.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from zzavjzgkvaz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -88 - -5?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39835915*a**5 + 24335801*a**2 - 2*a.\nAnswer: -2390154900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1094242\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) 1\/12 (b) 4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12233136 take away -11?\nAnswer: -12233125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08661 to 3 dps.\nAnswer: -0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -32912 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 71*k**7\/7 + k**3\/3 + 25*k**2\/2 - 21. Find the third derivative of i(t) wrt t.\nAnswer: 8520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/((-1)\/3). Let y(o) = 7*o**2 - 7*o + 8. Calculate the remainder when 61 is divided by y(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 18220*w**2 + 18194*w + 218616.\nAnswer: 2*(w - 9109)*(w - 4)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -57*a**2. Let q(c) = -26*c - 22. What is q(o(h))?\nAnswer: 1482*h**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 744, 3034, 6872, 12258, 19192?\nAnswer: 27674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 979.999 = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**4 + 15*b**6 - 4*b**5 + 4*b**5 - 81473*b**2 + 7*b**4 + 82751*b**2 wrt b?\nAnswer: 1800*b**3 + 240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f + 11. Let w(b) be the second derivative of -1\/3*b**3 - 2*b**2 + 0 + 3*b. What is -4*q(n) - 11*w(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = m + 88. Let t = 14 + m. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, p: 4, d: 2, s: 4}. What is prob of picking 2 d?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -337\/6 - -56. Let d = 3 + -2. Which is the nearest to -1\/3? (a) i (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - -224\/3. Which is the closest to f? (a) 0.5 (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 6 = 11*y. Solve 1 = -y*o + 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**6\/8 + 7*p**5\/30 + 8*p**2. What is the third derivative of g(u) wrt u?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = z - 53, -z + 6*z - c - 145 = 0. Suppose 12 = -2*k - 22. Let s = k + z. What is the greatest common factor of 55 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 18 + 4*r + 23 - 70 + 11 - 1862*r**2 in the form c*r + s + f*r**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/7 + 3\/14. Let r be 3\/(-9)*108\/390 + 2. Let l = 30\/13 - r. What is the closest to l in -2, 1\/4, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2291336 and 305768.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3411888 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -398.2 rounded to the nearest ten?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21882 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -212 + 217. Suppose -23 = -a - 2*t, -t = 2*a - 46 - 0. Determine o so that 20*o**2 - 7*o**3 - 15*o**4 + 5*o**5 - 29*o**3 - 5*o**4 + 8*o + a*o**k = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(12\/28)*(-8)\/8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0\/(r*r**(-12)))\/(r*r**8*r*r*r**(-14)*r*r))**(-4\/17) assuming r is positive.\nAnswer: r**(-48\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -61. Suppose 5*y + 39 = -5*f + 2*f, 5*f = 5*y - n. Let z = f - -17. What is the remainder when 26 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2145998.42 rounded to the nearest one hundred?\nAnswer: -2146000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6658 + 0.746. Round d to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5349378, 10698799, 16048220?\nAnswer: 21397641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260 by 4.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604318?\nAnswer: 2, 11, 13, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u = 78772 - 78942 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + n - 38 = 0, -3*m - 4*n + 7*n + 30 = 0. Let u = 22 - m. Suppose 2*t + 3*t = u. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 12392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4312.14 - -78.86. Let i = h + -4391.01873. Round i to 3 decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 8:27 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -107 * 1\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m = -32*m + 16, -2*y + 4*m = -24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 58*2057\nAnswer: 119306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/12*(-6)\/(-12).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.85 + 0.15. What is the closest to 0 in f, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 391\/42 + -421\/42. Let q = -25\/114 + 1\/19. Calculate the common denominator of q and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuhh when four letters picked without replacement from {u: 4, h: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32404?\nAnswer: 2, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 less than -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -60 and 2937593.061.\nAnswer: 2937533.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**2*o**2*y + 4*a**2*o + 4022*a**2*y**2 - 703*o**2 wrt y.\nAnswer: -2*a**2*o**2 + 8044*a**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**3 + 620*t**2 = 0?\nAnswer: 0, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuutktutot. Give prob of picking 1 k, 2 t, and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 745345399 to the nearest integer?\nAnswer: 27301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, f: 5, d: 1, h: 3, b: 2, k: 1}. Give prob of sequence lbk.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - 12. Let h = -27 - a. Let v(n) = -n**2 - 65*n + 740. Let w be v(-75). Which is greater: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = a - 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283384525 to the power of 1\/3, to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p*p*p\/p**(-4)*p))\/p*p**4\/p)\/((p*p*(p\/p**(-1\/2)*p)\/p)\/p*p*p\/(p*p**0)))\/((p\/p**(-2\/11)*p**(-3)*p)\/p**(2\/39)) assuming p is positive.\nAnswer: p**(-5689\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-392)\/16)\/(-7)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*f = -41*f - 748. Suppose -9*w = -20*w + f. Calculate the remainder when 181 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1866027138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = -u, -2*d = -5*u - 0*d + 46. Let v(c) = 25*c - 10. Let s be v(u). Let o = -2092\/11 + s. What is the closest to 1 in -0.4, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1660068 divided by -553356.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 9 + 5*r)*(-4 + 3 - 5) + (-3 + 1 - 4)*(3 + r + r + 0*r) as x + n*r and give n.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnqq when four letters picked without replacement from qddnq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 32777952 divided by -32\nAnswer: -1024311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 4008?\nAnswer: 4005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*z + 146*z + 45 = -5*g - 141*z, -4*g = -z + 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 1886976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2. Let t(x) = x - 1. Suppose 3*u - 18 = 114. Let i(g) = -44*g + 22. Let j(y) = u*t(y) + 2*i(y). Determine n(j(a)).\nAnswer: 3872*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a. Solve 10 + a = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*k. Suppose 0 = 4*i - k*i - 8. Is i bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, s: 2, u: 4}. What is prob of sequence pp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (56\/(-42))\/((-38)\/45). Let f = -151682\/57 + 23962\/9. Let t = f - p. Sort 0.1, 1\/2, t.\nAnswer: t, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -3*r + 23, -53*t - r = -57*t - 31 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4372.\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 0, 4, -1, 59 in descending order.\nAnswer: 59, 4, 0, -1, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 7*h**2 + 11*h + 22. What is v(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, s: 14, t: 2, v: 2}. What is prob of picking 1 e, 1 v, and 1 t?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/7 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j + 111 = -41 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 2\/5, -6, 5, -2\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 29) + 14 + 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*g = -70*g - 57046. Let l = -930 + g. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/((-7)\/84*4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*i + 101 - 81 = 980 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 12:01 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m**3 + 280*m**2 + 24*m + 312. Calculate b(40).\nAnswer: 1272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88185, 162, -4, -2 in descending order.\nAnswer: 88185, 162, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**4\/24 - l**3\/3 - 8*l**2. Let g be x(5). Let k(t) = 3*t - 21 + t**g - 2*t**2 + t + 18. Calculate k(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 12 = -5*k + 13, 3*v + 20 = 4*k. Suppose -28*j + 31*j - 33 = -3*t, -j + 59 = 5*t. Solve v = -t*y + 4*y + 24 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/2 - 2 - 0\/3. Let t be (-1 + 0)\/((-2)\/(-2)). What is the units digit of t - (-35 + -3) - o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -857*f*x**2 + 20*x**2 + 10*x wrt f?\nAnswer: -857*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-12)\/15*65\/(-78)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 179 and -125299.\nAnswer: -125120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a - 32907 + 9324 = 0. Calculate the remainder when a is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 118. Suppose 4*q - 2*q - 12 = -3*a, -3*q = 5*a - 20. Let r be h(q). Let y = -82 - r. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 672*t - 88. What is the hundreds digit of o(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0195? (a) 2\/7 (b) -127 (c) -0.124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 119, 494, 1127, 2024, 3191, 4634, 6359, 8372?\n\"Answer: r**3 + 123*r**2 - r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000768231 to six dps.\nAnswer: -0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + q + 1. Let a(k) = -k**3 + 5*k**2 + 8. Let t(h) = -a(h) + 2*d(h). Calculate the lowest common multiple of t(-6) and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d = 6*d + 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -50, -52, -54, -56?\n\"Answer: -2*s - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 7:57 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494053?\nAnswer: 7, 163, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198637, -198770, -198903, -199036, -199169?\nAnswer: -199302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/9 - 103526*m\/9 + 172535\/3 = 0. What is m?\nAnswer: 5, 103521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(24)\/sqrt(8) - sqrt(3) - (sqrt(3)*1 + sqrt(3))*-2.\nAnswer: -5 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g**3 + 8*g**2 + 2*g - 2. Let a(m) = -3*m**3 - 4*m**2 - m + 1. Let h(i) = -5*a(i) - 2*j(i). Does 2 divide h(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 1. Let u = -21 + 4. Let b = 509 - 525. Let z = u - b. Calculate g(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - z + 1 = -6*z, z = 5*c - 9. Suppose -437 + 93 = -4*q + 5*g, -q + 86 = -c*g. What are the prime factors of q?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - 1*10\/(-2). Let x(l) be the first derivative of 0*l**f + 0*l**4 - 2\/5*l**5 + 0*l**3 + 2 + 2*l. Differentiate x(u) wrt u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 732 + -765. Let b be (22\/15 - 7\/(-35))*3. What is the closest to l in b, -1\/2, -2\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -19*j - 71. Let w be s(-5). Suppose 12389 = 3*r + 2*a, 2*r - 8258 = 23*a - w*a. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 2. Let d(r) be the second derivative of -5*r**4\/12 + 9*r**2\/2 - r. Let j(s) = -2*d(s) + 9*x(s). Let l(n) = -2*n. Calculate l(j(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 782\/13, -0.1, 1 in increasing order.\nAnswer: -0.1, 1, 782\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.8 - -6.2. Suppose 4*v = 2*u + 522, u - 821 = -5*v - 172. Let d = v + -912\/7. Put d, 3, m in increasing order.\nAnswer: d, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 7290932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**3 + z**2 - 3*z - 7. Let h(b) = 3*b**3 - b**2 + 2*b + 8. Determine -5*h(s) - 4*k(s).\nAnswer: s**3 + s**2 + 2*s - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.0616 - 15.8262. Round s to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 4. Is l >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q - 15. Let b be g(10). Suppose 2*r - 6 - 4 = b*a, -10 = 5*a. What is the nearest to 2 in -4, 4\/7, r?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x + 2*x + 8 + 2*x + 6. Let q be p(-8). Let n be (-2)\/6*(q - 9). What is the greatest common factor of 4 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1083\/7 - -155. What is the second biggest value in -0.5, z, -4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -6) + -18 - -27 - (0 + 29).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -1, 1.9, -3, -2\/199?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 575 - -0.01\nAnswer: 575.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 396935?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10\/11, -3\/4, -0.1552?\nAnswer: -0.1552","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1546 - 13913\/9. Let w = 3 - 2. Let x = 1.2 - w. Which is the closest to 4\/5? (a) x (b) -0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, -2.\nAnswer: -12, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1803567224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -67, -69, -71, -73, -75?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 - 3*z**2 + 3*z**2 + (-z + 2*z + z)*(0*z + 4*z - 2*z) + 2*z**2 + 2*z**2 - 5*z**2 + 2*z**2 - 3*z**2 - z**2 - 64*z**2 + 66*z**2 - 2*z - 2 + 0.\nAnswer: 4*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**2. Suppose -15*x + 5 = -14*x. Let n = 0 - 2. Let y(j) = -4*j**2 - 2*j. Let u(d) = -8*d**2 - 5*d. Let v(r) = n*u(r) + x*y(r). Determine v(f(w)).\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -14*b**3\/3 - b - 4. Let x(y) = y**2. Determine r(x(i)).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -13539456.\nAnswer: 2707891.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 13*k = -12*k - 1149, 2*y - 1146 = -4*k. Is y a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -573\/130 - -738278\/167505. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*(0 + sqrt(75) + -1)**2*6.\nAnswer: -300*sqrt(3) + 2276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 1:13 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from {e: 6, h: 2, c: 2, r: 1, f: 4, k: 3}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5608.76 centimeters to micrometers.\nAnswer: 56087600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2221202 + 120211?\nAnswer: -2100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13078 at least as big as 12708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 27. Suppose -3*k - 9 = -h*k. Which is the nearest to 5? (a) 0.5 (b) 4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206406 by -68802.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 16891 + 63990 = 5*g, 0 = 2*g + 2. Is f a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*p - 5*o = -187*p - 5705, -5*p = -3*o - 5753. What is the remainder when p is divided by 379?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26289413?\nAnswer: 373, 70481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 1. Let p(t) = 3*t**3 - t - 5. Calculate 5*a(b) + p(b).\nAnswer: -2*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 13. Let k(h) = 1. Let y(q) = -k(q) + t(q). List the prime factors of y(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02 - 0.35. Let q = -26 + 23.03. Let r = z + q. What is r rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 189.44851 to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 42829*s + 1 + 42825*s + s**2 - 85652*s. Let j(k) = k + 3. Let u be j(-4). What is w(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-10)*d)*d\/(d\/(d*d\/(d\/d**(-12)))))**17 assuming d is positive.\nAnswer: d**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 391617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -777*p + 168. Let m(b) = -23*b + 5. Let s(u) = 5*j(u) - 168*m(u). Let f(a) = -253*a. Give f(s(v)).\nAnswer: 5313*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h**2 + 2*h + 3. Let b = -94 + 174. What is the remainder when b is divided by i(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14, 6, -28, -100, -222?\n\"Answer: -2*y**3 - y**2 + 9*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1443382009 to the nearest integer?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-81)*(-60)\/(-8). Factor k*t**2 + 2\/3*t**3 + 4\/9*t + 0.\nAnswer: 2*t*(t + 1)*(3*t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 49*g**2 - g + 47*g**2. Let j(i) = -i**2. Determine j(l(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 13094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - sqrt(1088)*1*6 - sqrt(1088)) + sqrt(1088)*-1 + 1)**2 - (6*2*sqrt(1088) + 0)**2*5.\nAnswer: -730047 - 112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 2350.6 + -2350.71. Put 1, -0.5, s, 0.5, -4 in increasing order.\nAnswer: -4, -0.5, s, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1, 17, 2\/3, 3\/29, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -43630 divided by -2?\nAnswer: 21815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 7)\/((-1)\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -38716020 divided by 42\nAnswer: -921810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 10*f + 7. Let z(p) = -3*p - 2. Let t(b) = -2*d(b) - 7*z(b). Let u(l) = 8 - 8 + 0*l**2 - l**2. What is u(t(a))?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2553 divided by -3\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -54\/77 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 653*z - 60225 = -94181 for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -12\/11, -1\/9, -1\/5, -1\/4, 6.9?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 610 - -112?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 0.1, -1\/286, 5, 1\/4 in decreasing order.\nAnswer: 5, 2, 1\/4, 0.1, 0, -1\/286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**3*v**4 + 7415*g**3*v + 2*g**3 - 9*g**2 + 877 with respect to v.\nAnswer: -8*g**3*v**3 + 7415*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 4:35 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40*(108\/45 - (-11)\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 5*n**4\/2 - n**3\/3 - 456*n**2. Let q(m) = 2*m. Determine q(x(o)).\nAnswer: 120*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003129388 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255804 is divided by 62.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + -17164?\nAnswer: -17158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -805 by 1181.\nAnswer: -805\/1181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 58*g**2 - 608*g + 120. What is i(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*w**2 - 55*w**2 + 106*w**2 - 1444*w**3 + 1460*w**3.\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 3*g**2 + 2*g**2 + g**2 - g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 4. Calculate the greatest common factor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 - 4*w**2 + 6*w**2)*(0*w - 3*w + 2*w) + (-110615 + 1160*w + 110615)*(-4*w**2 + 4*w**2 + 2*w**2) + 3*w**3 - 4*w**3 + 3*w**3.\nAnswer: 2323*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52217 to the power of 1\/2, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m + 109. Let y(o) = 161*o. Calculate t(y(d)).\nAnswer: -1449*d + 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 7. Let w be k(-6). Suppose 5*u - 1 = 2*f - 4, -u + 2*f = 7. Let a be (3 - 2) + 1 + 3. What is the closest to w in -1\/5, u, a?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 11*u - 1. Let h be l(11). Is 89\/(-1)*h\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9457.065l in millilitres?\nAnswer: 9457065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1816508036 divided by 454127009?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 3*u**8\/112 - u**7\/70 + 35*u**5\/12 - 2*u**2 - 134. Find the third derivative of c(t) wrt t.\nAnswer: 540*t**2 - 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 2*k - 100. Let j = -6 - k. Suppose -4*c - 3*i + 3 = c, -5*c = -i - j. Solve -3*w + m + 16 = w, -11 = -c*w + m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 4*y - 28. Let g be z(-9). Let l = 279 + -276. Solve 0 = -4*s + l*v - 4*v + g, -2*s + 4 = 2*v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -1724*u**5\/5 - 1075*u**3\/3 - 2716. Find the third derivative of z(d) wrt d.\nAnswer: -41376*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1200\/(-5535)*1*-3. Let y = r + 2\/123. Let o = 2 + 0. Which is the biggest value? (a) o (b) y (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-5\/4)*i))\/i*i*i**(-4)*((i*i\/(i*i**4)*i)\/i)**(-1\/3) assuming i is positive.\nAnswer: i**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5 - 91*w**4\/5 - 247*w**3\/5 - 89*w**2\/5 + 252*w\/5 + 36 = 0 for w.\nAnswer: -15, -2, -6\/5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36537604 is divided by 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 223 - 203. Let d(q) = 2*q**2 + 3*q - 1. Let z be d(-3). Suppose z = -3*x + k. Solve 5 = 3*c - x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-22 - (-20)\/4). Suppose 4*w - v = 1, 4*c - 3*w = 7832. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3435670 by 7.\nAnswer: -490810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8193 - 2952 = 915*h - 10314 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 11:41 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -26*d**4\/3 - 160426*d**3\/3 - 197198*d**2\/3 + 431902*d + 444168 = 0.\nAnswer: -6169, -3, -1, 36\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 9 - 441*t + 466*t + (t - 2*t + 2*t)*(2 - 4 + 3).\nAnswer: 26*t - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -109133 in -0.4, 8, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + 3 + 0 + 91. Let x be (-174)\/(-11) - (-16)\/y. What is the greatest common divisor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**17*j)\/((((j*j*j\/(j*j**(-1\/12)))\/j)\/j)\/j))\/((j**(-1\/4)*j)\/j)**(-7))**(2\/7) assuming j is positive.\nAnswer: j**(103\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - 3\/((-12)\/8). What is the closest to b in -39, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from atty.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqaa when four letters picked without replacement from {q: 2, g: 2, a: 8, p: 3}?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*2 + sqrt(171))*-6 - (sqrt(171) + 4*(sqrt(171) - -1*sqrt(171))))\/(2*sqrt(81)*-4 - (sqrt(81) - (sqrt(81) + 2*(sqrt(81)*2 + sqrt(81))))).\nAnswer: 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 11 - 9*b + 20*b - 12*b. Let l be i(9). Let c be 46\/14 - l\/7. Put c, -1, -5 in decreasing order.\nAnswer: c, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.125 - 1.875. Let q = i - -2.000001. Round q to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -585*k + 9428. What is the hundreds digit of p(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10ea09 (base 15) in base 16?\nAnswer: -c57b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26803007 by 348091.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuvuuuuuvuuvvv. Give prob of picking 2 u and 2 v.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19672700 rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j**2 + 1528887*j + 6794520 = 0. What is j?\nAnswer: -56621, -40\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1831076?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 19 = -2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, 0.424, -1\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 9*k - 4. Let z be 1 - 1 - (2 + -2). Let x be -9 - 0 - z - -1. Let b be f(x). Solve 2*v - 3*p + 16 = 0, -v + 2*p - 6 = b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7252325?\nAnswer: 5, 139, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168010771 and 109092?\nAnswer: 9091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 52*f**2 - 116*f + 434. Let i be j(54). Solve i*a = 8*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21 + -475619?\nAnswer: -4755c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 0*k**3 + 2*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 3\/98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318524090?\nAnswer: 2, 5, 1567, 20327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 409 - 409.8. What is the nearest to -0.1 in -21, x, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95227171 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 17*w - 18 = -3*d, 0 = 4*d + 5*w - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 p when four letters picked without replacement from {p: 8, d: 8, w: 4}.\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 + 15*r**3 - 9*r**3 - 4*r**3 to a + g*r + f*r**3 + m*r**2 and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f, -4*f - f = 4*p + 1212. What is the common denominator of p\/246 + 2 + 0\/(-19) and 63\/20?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 4. Let q(m) = -2*m - 8. Let x(n) = 4*q(n) + 7*r(n). What is the smallest common multiple of -6 + 4 - 12\/(-1) and x(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in 9.4, 4, 0.22, -1, 0.01?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -0 - 20. Suppose g*i - 15 = -15. Let i*a**3 - 20 - 3249*a - 5*a**3 + 3284*a - 10*a**2 = 0. What is a?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.4211154 rounded to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1af4a077 - -2?\nAnswer: 1af4a079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81647*r - 66*r**2 - 81343*r - 1 + 4651*r**3 + 73*r**2 wrt r?\nAnswer: 27906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -1, 48, -3, 1576 in descending order.\nAnswer: 1576, 48, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 11*k**5\/5 - 4*k**3\/3 + 4. What is the third derivative of w(f) wrt f?\nAnswer: 264*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/17 + 1124*v**3\/17 + 150962*v**2\/17 - 1976856*v\/17.\nAnswer: 2*v*(v - 12)*(v + 287)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 471*k + 472*k = -27, 0 = j + 3*k - 12*k - 35 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24107*t*v**3 - 664*v**3 wrt t.\nAnswer: 24107*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*b + 4*b**2 - 10*b + 32*b - 9*b + 30 to z*b**2 + c*b + u and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((6\/(-16))\/((-5)\/((-160)\/24)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1414 (base 10) in base 4?\nAnswer: -112012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 - 7*t**2 - 5*t + 6. Let b be j(4). Is b bigger than 22\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6654 + -26613\/4. Suppose -2*x + 5*x = 0. Which is smaller: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/59? (a) -0.5 (b) -2\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -344632, -1378518, -3101660, -5514058, -8615712, -12406622?\nAnswer: -16886788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3023 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-166*r**2 + 115*r**2 - 139*r**2)*(465 - r - 278 - 287 + (4 - 3 + 1)*(-5*r + 4*r - r) + r - 1 + 1).\nAnswer: 760*r**3 + 19000*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmnv when four letters picked without replacement from {n: 3, m: 1, v: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000022842558 rounded to 6 decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (7 + -2 + -12 + 14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259875 divided by 1485.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4776558 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s + 2*s + s**2 + 8*s**2 - 7*s. Let t be (0 + 0)\/(8\/4). Let y = t + -1. Determine i(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/637 and 69\/2366.\nAnswer: 16562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/7 (b) 1 (c) -15 (d) -39 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 + -124. Let x = 220.7 + h. Is x at least 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3141 (base 5) to base 12\nAnswer: -2b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21238563?\nAnswer: 3, 7079521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 0 + 171\/33 + 8\/(-44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1603b (base 13) to base 12.\nAnswer: -20229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.173 + 7.531. What is u rounded to one dp?\nAnswer: 24.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -191\/3, -1, 4, 0.1, 1, 0.2 in ascending order.\nAnswer: -191\/3, -1, 0.1, 0.2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -37*j + 156. Determine g(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2151887989 to the nearest integer?\nAnswer: 46388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (396\/6)\/((-3)\/18*-4). Solve 0 = u*g - 95*g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*w = 33*w - 385860. Calculate the least common multiple of 30 and w.\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((29\/((-812)\/48))\/(10\/(-35))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 59*d**2 - 2. Let j be (-2 - -1) + 0\/(-2). Let u be x(j). What is the highest common factor of 19 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5665*i - 5665*i - 5*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 15*l**2 + 1. Let w(t) be the second derivative of -t**4\/12 - t + 4. Determine z(w(j)).\nAnswer: 15*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-3))\/(2\/(-6)). Let g be (j\/(-6))\/(3\/(-9)). Let k = 7 - 7. Solve k = -5*t - 5 - g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1423*j**4*y**3 + 102*j**4*y - y**3 - 38*y**2 - 2*y - 50 wrt j?\nAnswer: -5692*j**3*y**3 + 408*j**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57 or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 578 and 52842494?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4*k + 42 - 66, d + 14 = 3*k. Suppose 5*n - 27 = 2*n. What is the highest common factor of n and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84102 + 151333. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + 1?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(78)*-1*6 - sqrt(78)) + sqrt(78) + -6*(sqrt(78) - -2*sqrt(78))))\/(6*(sqrt(150) - (sqrt(150) + sqrt(150)*-2))*-1).\nAnswer: -12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 4896*t**2 - 69060*t - 118512.\nAnswer: 3*(t - 1646)*(t + 2)*(t + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**5\/20 - i**4\/3 - i**3\/2 - i**2 + i. Let s(g) = g + 16. Let w be s(0). Let o = w + -11. Give q(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -726 + 731.98. Round o to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 23*g**2 + g. Let b(l) = -l**2 - 13*l + 1. Let d(o) = 64*o**2 + 728*o - 56. Let j(u) = -56*b(u) - d(u). What is k(j(y))?\nAnswer: 1472*y**4 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428933 is divided by 98.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14975 is divided by 379?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3\/u*u**13\/u)**(21\/8) assuming u is positive.\nAnswer: u**(147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/23)\/h)\/(h**6*h))**(11\/4) assuming h is positive.\nAnswer: h**(-1001\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1036667931 + 0.10366. Round h to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -150*b*q**2 - 54*b*q*z + 3*q**2*z - 30*q**2 - 19*q wrt b?\nAnswer: -150*q**2 - 54*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.73 + 0.8. Let z = 0.17 - k. Which is the closest to -1? (a) 0.4 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -665 = -5*d - 115. Suppose d + 13 = p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0260817127 rounded to 4 dps?\nAnswer: -0.0261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 203025*r**3 + 10963330*r**2 + 148004145*r - 14580 = 0.\nAnswer: -27, 4\/40605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3\/16 (b) -0.5 (c) -2\/55 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, d: 6, o: 2}. What is prob of picking 1 o and 1 d?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 7:04 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**3 - 11*l. Let n(j) = 5*j**3 + 12*j + 1. Calculate 3*n(q) + 4*s(q).\nAnswer: -q**3 - 8*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3. Calculate l(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 5*p + 14, -5*f - 12 + 2 = 5*p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 - 77*t + 207. Calculate j(-41).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/45*-10*11\/44\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 2:54 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 505028, 504996, 504944, 504872, 504780?\n\"Answer: -10*t**2 - 2*t + 505040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 2*w. Let m(k) = 587*k. Let g(i) = m(i) - 5*z(i). Let r(q) = 2*q**2. Determine g(r(a)).\nAnswer: 20*a**4 + 1194*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8061 - 32249\/4. Sort -0.9, 13, q, -1 in decreasing order.\nAnswer: 13, -0.9, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73261, -146261, -218993, -291457, -363653, -435581?\nAnswer: -507241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 214433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 797410.4 centuries to millennia.\nAnswer: 79741.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 180\/90*(13 - 11 - (-71)\/2)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x - 36. Calculate s(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12, -44, -130, -240, -368, -508, -654, -800?\n\"Answer: f**3 - 21*f**2 + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/11? (a) -1\/3 (b) 0.01 (c) 1664\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.450753mg in kilograms?\nAnswer: 0.000006450753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1288 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089297699 + 0?\nAnswer: 1089297699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/((-2)\/6). Suppose -3*d + 8 = -i. Suppose -3*q - 9 = -5*f, -q + 0*q - d = -f. Solve -l + f = 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/475 + (-14402)\/(-950)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 - 2*r**2 - r - 1. Let d be i(2). Suppose 3*c - 2 = -29. Let v = c - d. What is the greatest common factor of v and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -12*p + 165. Calculate the remainder when p is divided by (6\/(-21) + (-82)\/7)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*s**2 - 2*s**2 - 142*s**4 - 2*s**5 - 30*s**3 + 128*s**4.\nAnswer: -2*s**2*(s + 1)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 13*n - 36. Let d be m(3). Let b(w) = -3*w**3 - 11*w + w**d + 210*w**2 - 217*w**2 - 5. Let z be b(-4). Is z less than 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1210 is divided by 605.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-8))\/3*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6036*u**2 - 12056*u - 32 = 0. What is u?\nAnswer: -4\/1509, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35845 is divided by 46.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6762 + -6757. Let d = 0.07 - -1.93. What is the second smallest value in y, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -14. Suppose -5 = -4*s - p. Let h = 13 - s. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 22147938\nAnswer: -1\/11073969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 8 = 2*y. Suppose 3*l = 4*a - 28, -2*l + 4*a - 16 = y*a. What is the units digit of l*((-5)\/2 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6)*(-1 + -182). Suppose -5*p + c = 2*s + 2*s, -p + 32 = -3*s. Let z = p + -5. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -7 - (28 + 0) - (-6 + 43 - 47).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k - 42. Let z(s) = -6*s - 36. Let v(c) = -5*m(c) + 6*z(c). Let w(r) = -3*r + 1. Let j be w(3). List the prime factors of v(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118996000 rounded to the nearest 1000000?\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*h + 20 = -3*t + 138*h + 2, 2*t + 4*h = -4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16 - 0.46. Which is the third smallest value? (a) -2\/9 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 11*z**2 + 11*z - 12. Let q be m(1). Let u = 17 + -12. Solve 0*j = u*j + w + 22, 5*w = -j + q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*c + c + 2*c - 3*c.\nAnswer: 23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 366\/166717?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**4 + 18*a**3 - 12*a**2 + 6*a - 3. Let l(o) = -26*o**4 + 94*o**3 - 60*o**2 + 30*o - 16. Let h(x) = 11*g(x) - 2*l(x). Factor h(u).\nAnswer: -(u - 1)**3*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 - z**5 + z**5 + (4*z**2 + 2*z**2 - 4*z**2)*(0*z**3 - 4*z**3 + 2*z**3) + 13*z**5 - 3*z**5 + 15*z**5.\nAnswer: 20*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 209\/9, -0.25, 0.5, -0.15, -0.2.\nAnswer: -0.25, -0.2, -0.15, 0.5, 209\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 4*m - 4. Let g(n) = 1. Let u(k) = 25*k + 2. Let l(h) = m*u(h) + 3*g(h). What is the units digit of l(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-330)\/(-20))\/(9\/12). Suppose 4*v + 5*i + 0*i - 38 = 0, -u = -v + 5*i. Calculate the remainder when v is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31813288 and 416?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 4*u - 14 - 2 = 0, 0 = 3*k + u - 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 - 327*b + 180*b - 977*b**2 + 145*b to i*b**2 + l + y*b + a*b**3 and give i.\nAnswer: -977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 1069*p**9\/168 + 1109*p**5\/20 - 3264*p**2. What is the third derivative of d(u) wrt u?\nAnswer: 384840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*z**2 + 2*d**2*z + 104*d*z - 562*z**3 wrt z.\nAnswer: 4*d**2 - 3372*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11224 + -2?\nAnswer: 11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2193 and 0.7672.\nAnswer: -2192.2328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**5 + 155*m**4 + m**2 - 3?\nAnswer: 120*m**2 + 3720*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wif when three letters picked without replacement from {b: 5, i: 2, x: 1, f: 1, w: 11}?\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -41. Let k be 12\/(-42) + 4\/w. Sort -4, k, 3.\nAnswer: -4, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Let q(a) be the second derivative of 7*a**3\/2 + 12*a. Calculate q(v(o)).\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6*((-244)\/488)\/((-2)\/16)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + -1 + sqrt(847))**2*-4.\nAnswer: -3488 + 440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -18 + (-33 - 8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482740059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/2222 - 60548\/1111. Let c = 31813 + -31867. Which is smaller: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 7977787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1000 + 556*m**3 - 12*m**2 + 12*m**2 - 481*m**3.\nAnswer: 75*m**3 + 1000","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -515.0241 and 2302?\nAnswer: 2817.0241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56880031 to the power of 1\/2, to the nearest integer?\nAnswer: 7542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/52 + (-3)\/(-12). Let s = -2400 - -2399.8. What is the fourth biggest value in 2, s, -3\/7, d?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 107 - 82. Suppose -7*q = -x - 168. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - ((32 - -5) + (11 + 18 - 28))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = i. Solve q + 2*q + 12 = i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6486116 and 721?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.051 + -0.051. Let j = -1.9 + k. Let r = -20 + 62\/3. Which is the nearest to 1\/4? (a) 1\/7 (b) j (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-1) + -1 + 3. Let j(d) = -16*d**3 - 2*d**2 + d + 2. Let t be j(-1). Suppose 3*c = t + 6. Solve -c = -g*x + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.0619065 millennia?\nAnswer: 742.878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - j**2 - j + 40. Let q be h(0). Let s = 43 - q. What is the third derivative of 12*o**s + 13*o**2 - 15*o**2 - 12*o**2 wrt o?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**4 + 22*c**2 - 5317*c wrt c?\nAnswer: -12*c**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1820 + 1825. Solve -4*y - 7 = j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6761641.\nAnswer: 103, 65647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 14*n**2 + 20*n + 77. Let q be r(-15). Find the second derivative of 134*m - 1 - 95*m - q*m**5 + 11*m**2 + 2 wrt m.\nAnswer: -40*m**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126.17*-46.\nAnswer: -5803.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 200932169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 105\/1721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456.7 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-7 + 0) - (-2 - -2 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.02 - -8.647. Let i = c - 0.623. Let t = i + 0.99599567. Round t to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**2 + 435*k + 557. Calculate n(110).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -228592*u**5 - 28*u**2 - 34955012*u.\nAnswer: -4571840*u**3 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2 - 138. Let x = k + -19. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317*x = 22839160 - 5659345. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 53277 - -5?\nAnswer: 53304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 33*y - 293. Calculate p(5).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -1819, -8, 9, 3 in decreasing order.\nAnswer: 9, 5, 3, -1, -8, -1819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**5\/7 - 156*q**4\/7 + 1696*q**3\/7 + 48*q**2 - 8960*q = 0. Calculate q.\nAnswer: -5, 0, 14, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -5*y + 7*f - 34, -11*f + 7*f + 4 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 21\/10775?\nAnswer: 21\/10775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**3 + 4*t**2 + 7*t - 7. Let j(c) = -c - 17. Let l be j(-12). Let v(n) = 4*n**3 - 3*n**2 - 5*n + 5. Give l*g(f) - 7*v(f).\nAnswer: 2*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 22*u + 166. Let g be x(28). Which is the closest to g? (a) -2 (b) 5 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-5))\/((-3)\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/3)\/(8\/(-36)). Suppose 0 = 4*a - 9 - 7, -3*d - 36 = -z*a. Calculate the lowest common multiple of 8 and d\/(-3)*36\/16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99869.9986 - 99795. Let h = -103 + 28. Let y = h + k. Round y to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19699 plus -62?\nAnswer: -19761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 32 - 104 = 0. Solve 0 = -2*d - 5*t + 29, 7*d + a = 9*d + 4*t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 4. Let u be q(-5). Let h = 0 - u. Let f = 4 + h. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 11:31 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one sixths of a millennium in months?\nAnswer: 82000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3))**(1\/30)\/((t**(-5)*t)\/t*t**(4\/7)\/t)*(t**(-1)*t)**1*(t**(-6)\/t)\/(t**(1\/4)\/t) assuming t is positive.\nAnswer: t**(-1049\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50.9 + -51. Is w equal to -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -e9c856?\nAnswer: -e9c851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 69388 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/167570640 and 31\/168650.\nAnswer: 837853200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 180356186 or 180356184?\nAnswer: 180356184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/121 at most as big as 135648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + ((0 - (-4 + 4)) + -12 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 4 = 9*k. Let u(b) = 5*b + 24. Let p(n) = 5*n + 24. Let o(h) = k*p(h) - 3*u(h). Let d be o(8). What is d rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 26*u**3 + 4*u**2 - 10*u - 33. Let r(b) = -14*b**3 - 3*b**2 + 5*b + 18. Give 6*g(x) + 11*r(x).\nAnswer: 2*x**3 - 9*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (84\/(-8) - -3) + 2\/4. Let z = 0.058 - 4.058. Let w be (6\/(-4))\/((-18)\/8). Sort w, 3\/7, s, z.\nAnswer: s, z, 3\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16855, 16858, 16853, 16840, 16819?\nAnswer: 16790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*r**2 + 3*r**4 + 3*r - 4*r**3 + 2 + 5*r**3 - 55*r**2 as j*r**4 + n*r**2 + k + q*r + p*r**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 7 = 2. Calculate the smallest common multiple of 5 and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/1135 + -13646\/14755. Let b = -47\/65 - x. Sort 0.1, b, -0.11 in decreasing order.\nAnswer: b, 0.1, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2052 and 3040.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/2277 and 19\/1449.\nAnswer: 15939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s**(-8)*s)*s*s*s**3*s**(-4\/7)*s*s**5 assuming s is positive.\nAnswer: s**(136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 125*k - 69 - 220 + 380 - 3841 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 2 (c) -2\/255\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(1440)*3)\/((sqrt(2160) - -3*sqrt(2160))\/sqrt(12)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7195, -6, 6, -5, -3 in decreasing order.\nAnswer: 6, -3, -4, -5, -6, -7195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(7\/((-70)\/15)). Suppose -4*f - 4*b + w = 0, 3*b + 6 = f + 1. Let p be -1*((-1)\/1 - f). Solve -5*j - p*z = 20, 2*z - 16 = 4*j - 0*z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w - 1. Let r be o(-1). Suppose 0 = -r*n - n + 3*l + 232, 2*n - 130 = 5*l. Calculate the highest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2 + 134*t + 1240 = 0?\nAnswer: -124, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1291, -10092, -33991, -80536, -157275?\n\"Answer: -1258*b**3 - b**2 + 8*b - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -17 (c) -0.2446\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, a: 3, d: 2, e: 5, p: 3}. Give prob of picking 1 a, 1 p, and 1 h.\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 0.5, 1\/604?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0468 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-33)\/(-4) - (-9)\/(-36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 433596?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 962, 3145, 7308, 14087, 24118, 38037?\nAnswer: 56480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/7 + 24*k**2\/7 + 183*k\/7 + 156\/7.\nAnswer: -3*(k - 13)*(k + 1)*(k + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 at most as big as -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 540, 865, 1184, 1497, 1804, 2105, 2400?\nAnswer: 2689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2.357328cm to nanometers.\nAnswer: 23573280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-seven fifths of a millennium?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106661 is divided by 474.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1289, -1307, -1327, -1349, -1373, -1399?\nAnswer: -1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 492 bigger than 535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.5 - -7. Suppose -8*j + 17*j - 9 = 0. Which is the nearest to -2\/7? (a) g (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10799689000 rounded to the nearest 1000000?\nAnswer: -10800000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -433?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*z + 1333 = -306 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.0269, -0.117, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j + 2. Let q(b) = -3*b + 3. What is 3*a(r) - 4*q(r)?\nAnswer: 3*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*s - 5*l, 2*s - l + 0*l = -19. Calculate the remainder when (-1*4)\/(s\/6) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.254463 to three dps.\nAnswer: -0.254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-39))\/(49\/(-63))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -4. Let h be ((-40)\/(-500))\/((-3)\/15). What is the second biggest value in c, 1\/8, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -16. Suppose 12 = -4*x, d*x - 3 - 6 = -4*h. Let z(f) = 3*f**2 + 6*f - 4. Let q be z(h). Round q to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, e: 7}. What is prob of sequence ew?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13044095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18848 - -376877\/20. Find the common denominator of h and -34\/7.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**3 - 61217*a + 30597*a + 3*a**3 + 30620*a.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40.986 + 800.826. Round f to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 22 = 4*u, -2*u = 5*z - 7*u + 30. Let h be 20\/30*6\/z. Let v(s) = 8*s**2 + 9*s + 4. What is the units digit of v(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2204\/(-29))\/((-1)\/3 - -1)*3\/42\nAnswer: -57\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*sqrt(700) + sqrt(700) + 4*sqrt(700)*3 + (-6*sqrt(14)\/sqrt(2)*-5 - sqrt(35)\/(sqrt(80)*-2 - sqrt(5))))**2.\nAnswer: 9598687\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1368 + -628. Suppose -5*j - 5*k + x = 0, 0 = 2*j - k - 471 + 190. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -c - 5*m - 16, 3*m = -3*c - 24. Let t = -0.9 - -1.01. Let j = t - -4.89. Sort c, j, 0.1.\nAnswer: c, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7\/68 + 331\/748. Factor -a*x**3 + 0 + 2\/11*x - 4\/11*x**2.\nAnswer: -2*x*(x + 1)*(3*x - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 65?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -80799422713 - 10\nAnswer: -80799422723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1))\/v*(v\/(v\/v**(2\/35)))\/v)**36*(v\/v**(-6)*v)\/(v\/((v**(-8)\/v)\/v))*(v**(-2\/7)\/v*v)\/((v\/(v\/(v*v*v**(-3)*v)*v*v))\/v) assuming v is positive.\nAnswer: v**(-2458\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -29. Solve -2*v + 8 = -3*v + w*g, 3*g - 6 = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24641.2 years in centuries?\nAnswer: 246.412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + t - 7 = 0, 5*t + 30 = 5. Suppose v + 3*v - 4 = 4*d, -v - 4*d + 6 = 0. Suppose 8*w + v = 82. Calculate the remainder when w is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 11. Suppose 0 = -x*k + k + 28. Calculate the remainder when 12 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2901 (b) 1 (c) 4\/21 (d) 1\/7 (e) -3 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 173 = -89 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/(-55)*-5*(-8)\/6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from {x: 5, u: 1, h: 1, t: 4, v: 2, g: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 + 4*m**4 - 6*m**4 + (9*m - 7*m + 7*m)*(3*m - 3*m + 2*m**3) + m**4 - 2*m**4 - 3*m**4 + (2 - 2 - m**3)*(m - 3*m + 0*m).\nAnswer: 14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 20 = -2*r. Calculate the highest common divisor of r and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 2) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (32 + 25 - 92)*(-3*g + g + 0*g)*(-3 + 4 + 0) as i + y*g and give y.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (3 - (-13 - -15)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/121 and -73\/110?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11104)\/(-274824))\/((-1)\/(-54))?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 1254.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1728100 divided by -15710\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 116946536 divided by -23324?\nAnswer: -5014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 152 - -230491325\nAnswer: 230491477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -34512 divided by 48?\nAnswer: -719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 53.2. What is the closest to 1\/4 in -0.3, 6, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 19*j**2 - 18*j - 9. Let m be i(18). What is the remainder when 29 is divided by -4 - 0 - (-10 + m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -185935, -371865, -557795, -743725, -929655?\n\"Answer: -185930*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -c2 (base 15) to base 13\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2*c - 10 = 0, 0*c = -4*z + 3*c - 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 26 = -3*f, -3*f + f - 1 = m. Suppose -3*t - f*q + 3*q + 9 = 0, 0 = -t + 5*q + 17. Suppose 0*k + t*k = 126. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 6, -v = 4*y - 28 - 2. Let j be (-1 + y)\/(6 - 95996\/16000). Round j to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 8*o**7\/105 - o**3\/2 - 9*o**2 - 42. Let r(f) be the second derivative of u(f). What is the derivative of r(n) wrt n?\nAnswer: 64*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**4 + 145*t**3 - 155*t**2 - 145*t + 150 = 0 for t.\nAnswer: -30, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h. Let o(a) = -2 - 10*a - 38*a + 8*a. Give o(r(p)).\nAnswer: -120*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a hour in seconds?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -112?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -669, -669, -679, -705, -753, -829?\nAnswer: -939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 + 86. Solve 0 = -l*s + 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125534022 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 688980 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 5:08 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**4 - 6*k**3 - k**2 + 3845*k - 3466508.\nAnswer: -4*k**3 - 18*k**2 - 2*k + 3845","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 202 + 218 = 0. Suppose 2*g = 4*i - 2*g + b, i = 4*g - 36. Is (3 - -1)\/(i\/(-136)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmpp when four letters picked without replacement from {m: 1, p: 4, a: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17339 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 14*u - 14 = 11*u, -1 = -k - 2*u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 854538.1l?\nAnswer: 854538100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/2))**(-1\/2))**(-3\/10) assuming w is positive.\nAnswer: w**(-3\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4715059?\nAnswer: 19, 248161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -18?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 66420229177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.18588 and -33.\nAnswer: -37.18588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7003 and 15.2281?\nAnswer: -106642.3843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4218 and 137085?\nAnswer: 274170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2 - 110*w + 4 - 5 as b + f*w and give f.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 18*z**3 + 7*z**2 - 39*z + 23. Calculate t(3).\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 3\/7, -2\/7 in descending order.\nAnswer: 3\/7, -2\/7, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-152)\/266*(-28)\/(-20).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.028614209 + -320379.\nAnswer: -320378.971385791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10266 is divided by 40.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 3*c - 10 = -4*c, 0 = 4*c + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5*h + 16, 0 = 3*h + 3. Let q(u) = 2*u**2 - 10*u + 7. Is q(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*u - 59 = -191, 0 = -3*v + 3*u - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4 + 8 + 1 = 4*d - 6, 0 = -5*d + 2*j - 3 + 56 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 177*f**3 - 5*f - 5. Let a(q) = -1505*q**3 + 43*q + 43. Give -5*a(h) - 43*l(h).\nAnswer: -86*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 133, 210, 339, 538, 825?\nAnswer: 1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -6*s - 16. What is the lowest common multiple of 94 and s?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 13, y: 6}. What is prob of picking 3 y?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/10*(-4)\/1. Let o be 5 + 3\/m*-2. What is the units digit of (o - 12\/21)*7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*n + n**2 - 23*n + 5*n**2 to the form w + s*n**2 + c*n and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/((t**(1\/2)\/t)\/t))\/t)\/t)**5\/(t**(-1\/10)\/(t**(2\/31)*t)) assuming t is positive.\nAnswer: t**(1343\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of -1989*((-299)\/39 + 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.1864 to one decimal place.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -88 - 352?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-33)\/44)\/((-1)\/(-16)). Let k = p - -14. Solve 0 = g + 2*g + 2*s - 1, 0 = 5*g + k*s - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000190878 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41736 is divided by 20825.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 2 (b) 3 (c) 21 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2922029 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12380*h - 16 = -12381*h. Let r(x) = 3*x**2 + 7*x + 2. Let q be r(5). Calculate the highest common divisor of h and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 313310030 (base 4) to base 13\nAnswer: 800a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2848498576?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 13) in base 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -162748 (base 10) to base 4\nAnswer: -213232330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -101706.86 rounded to the nearest one hundred?\nAnswer: -101700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30151 is divided by 9637.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5\/49*(-20244)\/3615\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44899.5 rounded to the nearest one thousand?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 228 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (52*(-12)\/72)\/(1*(-2)\/3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138621*w**5 + 22*w - 1732.\nAnswer: -2772420*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2. Let x(l) = -1. Let u = -10 - -6. Let h(v) = 5*v + 4. Let a(m) = u*x(m) - h(m). Determine a(i(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2 + 272*j - 1310 = 0. What is j?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millimeter in micrometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.917 to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2731260 divided by -6503\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n - 69. Let r be q(13). Put -2\/11, -6, 0.2, r in descending order.\nAnswer: 0.2, -2\/11, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2955.007 + -2959. Let z = -4 - u. Let q = z - -0.0069768. Round q to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -3. Let v = -8 - -5. Suppose -m - 5*w + 7*w = -15, 0 = -3*m + w + 20. Put m, v, o in increasing order.\nAnswer: v, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*x + 2*z, 0*z + 1 = -5*x - z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 4*s**2 - s - 2. What is the remainder when 2 is divided by q(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1863*x + 702*x - 9501 + 33976 = 340*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + t - 1. Let u(y) be the first derivative of -3*y**4\/2 - 3*y**2\/2 + 2*y - 109. Determine u(h) + 2*v(h).\nAnswer: -8*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-84)*((-4)\/6)\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 4) to base 6.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 324*(-468)\/(-48) + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -21?\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/15*45\/(-6). What is the nearest to 1 in -1\/3, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -154, -2\/11.\nAnswer: -154, -2\/11, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)*2)\/sqrt(5)*-6.\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/12, -0.03, -5432 in increasing order.\nAnswer: -5432, -5\/12, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**5\/20 - t**4\/2 + 3*t**3\/2 - 7*t**2\/2 + 356*t. Give y(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153 and 7667.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -3*x**6\/5 + 5*x**3 - 22*x + 38. Let l(i) be the first derivative of n(i). Find the second derivative of l(q) wrt q.\nAnswer: -216*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115804506?\nAnswer: 2, 3, 19, 1015829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2064650.\nAnswer: 2, 5, 7, 17, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((1 + -1)\/(-3))\/2. Suppose z = 3*u + 2 - 8. Let s be (-3)\/9 + 110\/6. Solve s = 4*p - u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 8326073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**4 + 20*s**3 + 30*s**2 - 20*s - 25 = 0?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 248.93 + -249. Let q = -3\/134 + -503\/1474. Let g = -17\/44 + q. What is the third smallest value in g, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*t - 10 = 0, 2*b + 4*t = -0*t - 22. Suppose -3*h - 2*h - 24 = -2*j, 2 = h + 3*j. Is b less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = 11*t + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/39 and 143\/60?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6670 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = p + 3*h, -6*h + 4*h = 16*p - 2*h - 3*h - 149 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m**2 - 991*m - 10. Let o(a) = -3*a**2 + 494*a + 4. Give -2*d(b) - 5*o(b).\nAnswer: b**2 - 488*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1014246 and 3718902.\nAnswer: 11156706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28\/(-10))\/(6\/60). Let h = 0 - n. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16214413 to the nearest integer?\nAnswer: 4027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 7:36 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (646890\/(-4) - -2) + (-4)\/(-8). Let h be 4 - (c\/7106)\/(-5). Let g = h + 2\/323. What is the closest to 0 in 0, g, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -8*t**2 + 5*t - 3. Let c(z) = 3*z**2 - 2*z + 1. Let q(b) = -5*b**2 - 1. Let u be q(-1). Let a be 42\/u + (-4)\/1. Give a*c(d) - 4*i(d).\nAnswer: -d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c**(-1)*c)\/c)**(-4\/29))**(-3\/5))**42 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/20*-8)\/2*5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*o + 439*o - 47*o.\nAnswer: 409*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-45)\/(-10) + -5)\/((-10)\/(-12)). Sort q, -46, 1 in descending order.\nAnswer: 1, q, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -143918, -287832, -431740, -575642, -719538, -863428, -1007312?\n\"Answer: 3*b**2 - 143923*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*f**3 - 527*f**2 - 351*f + 92262641 wrt f.\nAnswer: 111*f**2 - 1054*f - 351","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/8 of a day?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnhxxixixoooixx. Give prob of sequence xhxn.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5*t + 20, -32*w + 4*t = -27*w - 16. Solve w*f = -5*f + 3*y - 9, -3*y = f + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhnp when four letters picked without replacement from {h: 6, n: 2, p: 5}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 2 - 20679\/(-3051)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -2\/11, -0.36, 1\/5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30.046 + 30. Let w = h - 11.754. Let z = w + 12. What is the second smallest value in -0.5, 3, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -12*u**2 - 74*u - 3. Let r be n(-6). Let h be (-2328)\/(-32) + (-3)\/4. Calculate the highest common factor of r and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n + 2. Let v be b(8). Let c(o) = o**3 + 11*o**2 + 10*o + 16. Let r be c(-10). Let i = r + v. Solve i*q + 0*q + 2*k = -10, 5*q = 4*k - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -78*c**2 + 8*c - 1716. Let f(h) = 159*h**2 - 20*h + 3433. Let x(k) = 3*f(k) + 7*g(k). What is the derivative of x(m) wrt m?\nAnswer: -138*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24, -23, -14, 3?\n\"Answer: 4*h**2 - 11*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15248146 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g**2 - 150*g + 25. Let j(o) = 4*o + 1. Let k(u) = -25*j(u) + m(u). Factor k(t).\nAnswer: 5*t*(t - 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 13?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -226, -33.\nAnswer: -226, -33, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/11*(-2)\/(-5). Let h = 0.4002 - 0.0002. Which is the biggest value? (a) -3\/5 (b) x (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069499 nanograms in grams?\nAnswer: 0.000000000069499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 + 297\/7. Which is the second smallest value? (a) 4 (b) x (c) 2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 26*g - 72. What is the remainder when 108 is divided by b(29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2655 divided by 885\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*o - 409*o + 3808 = 0 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -341 - -340. Let v be 80\/((-8)\/2 + 5 - j). Solve 8*c = v - 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 - -1487.19?\nAnswer: 1487.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 2*p**5\/5 - 5*p**4\/12 + 5*p**3\/6 - 9*p**2\/2 + 14*p. Is c(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 14*h**2 + 2*h + 28. Suppose 5*u + 64 + 6 = 0. Let i be d(u). Suppose j - 6*j + 15 = i. What is the highest common divisor of 39 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*g**5 + 8*g**4 - 11*g**5 - 4*g - 8*g**4 wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 12*f + 31599 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -497 - -283. Let k = n - -1501\/7. Let v = -19 + 19.4. Which is the biggest value? (a) k (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/3490164 and 19\/117.\nAnswer: 45372132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 6:03 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188*1788787.\nAnswer: 336291956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*f**3*s**3 - f**3*s**2 + 7*f**2 + 1373*s**3 - 2 wrt s.\nAnswer: 84*f**3 + 8238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 0.1 (b) -0.1 (c) -74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 + -0.3. Let y = -21.1 - -22. Let c = u - y. Is 0.2 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 233*z - 235*z + 2106. Are z and 1053 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 13*m**2 - 12*m + 8. Let h = 33 + -45. Let n be r(h). What is the tens digit of (94\/n)\/((-285)\/(-40) + -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 11. Suppose -5*d - 4 = -14. Suppose -j*u + 9 = -3*h, 5*h - 2*u - d*u = -17. Which is bigger: h or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 20\/16)*-8. Let v = 25 - r. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3)**(-48) assuming p is positive.\nAnswer: p**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29.3 - -7.3. Let k = -20 - h. Which is the nearest to k? (a) -1\/5 (b) 1\/4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 432 and 49584?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*z - 15. Let t be ((-9)\/z)\/(-3)*0. Let q be (t\/5)\/((-3)\/3). Put -1, -5, q, 1 in increasing order.\nAnswer: -5, -1, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -3*c**8\/56 + c**6\/24 + 853*c**5\/60 + 2*c**2 + 234. What is the third derivative of t(b) wrt b?\nAnswer: -1080*b**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.11 + -0.26. Let y = u + -0.8796. Round y to three decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10111111011011111101 (base 2) to base 7\nAnswer: 6444036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 72 = 4*l, 0 = 14*l - 23*l + u - 130 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23100 and 7107650.\nAnswer: 298521300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k = 8. Suppose -3*z = -7*z - 8, -3*u - 3*z = -15. Let g = 10 - u. Which is the nearest to g? (a) k (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1423 divide 209456731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + v - 15, -3*g + 1198*v + 9 = 1200*v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-112)\/(-3) - (-10)\/15?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 3. Let v(x) = -x + 2. Let i(m) = -7*a(m) - 6*v(m). Give i(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*3\/(-5)*25*(-50)\/(-5000)*-90?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from hipddctctpichpcc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 51*z. Let b(t) = 19*t. Let h(l) = -8*b(l) + 3*c(l). Let j(y) = -3*y + 29. Calculate j(h(w)).\nAnswer: -3*w + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-53077.\nAnswer: 5307.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 4*t**2. Let s be f(4). Let r be 2373\/15 + (-2)\/10. Suppose -q + r = -s*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*o**4 - 35*o**2 + o - o**4 - 3 + 73*o**2 - 37*o**2 - 2*o**3 - 12 as u*o**2 + q*o**3 + p*o + f + i*o**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2620, 5241, 7862, 10483, 13104, 15725?\n\"Answer: 2621*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 183, 0, 1498346 in decreasing order.\nAnswer: 1498346, 183, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g - 12. Let j be r(3). Suppose j = -3*w + 25 - 16. Suppose 4*z - w = -4*m + 21, -3*z = -5*m + 14. Solve 0 = -2*a + 2 - m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(126) - ((sqrt(126) - 6*1*sqrt(126) - sqrt(126)) + sqrt(126)))\/sqrt(3))\/(sqrt(726)*-1*-3).\nAnswer: -6*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*n + 13. What is the least common multiple of 4\/(-24) - n\/(-6) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/10 and -91\/5080.\nAnswer: 5080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*g + 172*g = 24, -2*p = 15*g - 126. Factor -1\/2*i**2 + 0 - p*i.\nAnswer: -i*(i + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (52\/14 + -2)*(783 - (12 + -20)) and 18.\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366*p - 11 = -367*p. Calculate the highest common factor of p and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 8*a + 5*m - 57, 2*m - 50 = -5*a. What is the remainder when 27 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -9. Let y be ((-32)\/40)\/((-4)\/d). Solve -7 - y = -2*u + 3*n, 3*u - 6 = 3*n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -270 (base 8) to base 12.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143963?\nAnswer: 19, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 339*k**3 - 21*k**4 - 339*k**3 + (-k + 1 + 3*k - 3*k)*(-1 - 9221*k**2 + 9221*k**2 + 9*k**3) to z*k**4 + r*k**3 + o + q*k**2 + c*k and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-1) + (-6 - -12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 21122000 (base 3) to base 9\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/14 + (-473)\/77?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/185 < 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 570, -15, 4, -4 in descending order.\nAnswer: 570, 20, 4, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1471\/1 - (-132 - -143). What is the greatest common divisor of l and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 1. Let b(k) = 4*k - 4. Let u = -40368 - -40367. Determine u*b(z) + 6*n(z).\nAnswer: 2*z + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*n - 2 - 8, 0 = -2*n + 4*u. Solve -n*p + 10 = -2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 319 - 318. Let l(c) = 2*c - 2. Calculate l(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*y**2 - 16*y - 1.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*y + 0 + 0 + 39*y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n**5\/5 + 10383*n**4\/5 + 7809*n**3\/5 - 12981*n**2\/5 - 7797*n\/5 + 2598\/5 = 0. What is n?\nAnswer: -1, 1\/4, 1, 866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 23 - 29 + 2*u + (2 + 6 - 5)*(0*u - 3*u + 2*u))*(3 - 3 - 3*u**3).\nAnswer: 3*u**4 + 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 78970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -26, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 615 a factor of 26118435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n - 16*n + 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.69 and -0.01?\nAnswer: 3.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 31. Let p(m) = -m + 31. Calculate -6*p(x) - 5*u(x).\nAnswer: x - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 94 and -72.6?\nAnswer: -6824.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*s + 12, -y + 23 = 4*s + 27. Solve -5*t + 2 = -y*l - 2, 5*t - 12 = 2*l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-50))\/((-258)\/11008)*2\/(-4)*5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-1)\/(-3)*-3. Suppose -5*j - 5*o + 65 = 0, 7*o - 42 = -3*j + b*o. Solve -h + j = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, x: 2}. Give prob of picking 1 c and 2 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c + 4*c + 2*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2647 divided by 4\nAnswer: -2647\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 10:33 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/156262 and 73\/69.\nAnswer: 468786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/3, 2, -6, 13.9, 7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1 + (-2 + 2 - 2)*(-1 + 4 - 1) + 6 - 2 + 0)*(543*n - 543*n - 12*n**2).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - o = 597, 2*y - 3*o = 472 + 719. Let s = y + -3016\/5. Which is bigger: s or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - ((-16)\/4)\/(-2) - 2. Let l = -2 - -8. Let v = l + y. Are -3 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11279 - -22013. List the prime factors of u.\nAnswer: 2, 3, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s**5 + 369*s**4 + 2910*s**3 + 7476*s**2 + 2520*s - 2400 = 0.\nAnswer: -10, -4, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 3*l**2 - 2*l - 4. Let a be s(4). What is the greatest common factor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*r**2*u**4 + 4*r**2*u**2 + r*u**4 - 3*u**2 wrt u.\nAnswer: -1680*r**2*u + 24*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41769499*p**2 + 41769499*p**2 + 3327*p - p**3 + 186*p**4 wrt p?\nAnswer: 2232*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 + 1.14. Let b = -3.3 + j. Let f = 2.2 + b. What is the nearest to f in -1, -1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*a**2*j + 44*a**2 - 2*a + 10*j + 5 wrt a?\nAnswer: 8*a*j + 88*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 181*b**2 + 7 + 142 - 181*b**2 + 6*b**3 to w + i*b**3 + c*b + y*b**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/4122 and -67\/226.\nAnswer: 465786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, k: 11, d: 8}. Give prob of sequence dkkd.\nAnswer: 154\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n + 1. Let i(r) be the third derivative of -r**4\/12 - r**3\/3 + 25*r**2. Determine -3*i(b) - 4*k(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14447 + 30487 = 76*f + 7300 for f.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 845248c?\nAnswer: 8452489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -11*y**3 + 152*y + 6. Let s(j) = 11*j**3 - 155*j - 5. Determine 5*h(q) + 6*s(q).\nAnswer: 11*q**3 - 170*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 17, 27, 37, 47, 57?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13963547?\nAnswer: 13, 31, 34649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 270539 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 118 - (9 + 2\/(-1)). Calculate the greatest common factor of 370 and r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 24*g**5\/5 + 14*g - 11. What is the first derivative of x(y) wrt y?\nAnswer: 96*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*u**3 - 3958*u**2 - 21238*u - 27930 = 0. What is u?\nAnswer: -3, -7\/3, 665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + g + 4*g = -2740, -4*g - 2737 = -5*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 205*a + 35. Give b(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2546, -2543, -2538, -2531, -2522?\nAnswer: -2511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*b + 3*l, 3*b = 6*l - 5*l + 34. What is the remainder when 214\/6 - (-2)\/6 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 431 and 0.18 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 856.44 + -0.3?\nAnswer: 856.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/7 and -127\/588.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 31*r + 194. List the prime factors of b(36).\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*a + 186*a - 220 = 88*a. Suppose 3*n - 1 + 7 = 0, -n = -2*p - 84. Let q = p + 86. What is the remainder when q is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19917067 rounded to the nearest 100000?\nAnswer: -19900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/(-165) + 4228\/7140.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 153 - 150. Let i be (((-216)\/(-15))\/(-12))\/((-3)\/50). Solve -5*a + 2*k = -z*k - i, 5*a + 5*k = 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 40, 18\/7, 4, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451*k + 454*k + l + 4 = 0, 2*k - l = -6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g + 38*g + 743*g**3 - 35*g.\nAnswer: 743*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 88\/396 - 42684\/192321. Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 91, 181, 271, 361, 451, 541?\n\"Answer: 90*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.76118 to 2 dps.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44.59*3.\nAnswer: -133.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74300003, 74300001, 74299999, 74299997?\nAnswer: 74299995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3, -0.1, 10.6 in ascending order.\nAnswer: -3, -0.3, -0.1, 10.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 110688995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -22 + 13 + (1 - 3 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2150?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-5)*u))**(-32)*(u*u**32)\/(u*(u*u*u**29)\/u) assuming u is positive.\nAnswer: u**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 142 - 132. Suppose 2 = -y + 6. Solve -r = b + y*b + l, 5*b - r = -10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253.8828 weeks in seconds?\nAnswer: 153548317.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -26\/9, 2\/11 in ascending order.\nAnswer: -26\/9, 2\/11, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*v + 41*v + 9725446 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**2. Let z(m) = -2576167*m - 23. What is z(d(f))?\nAnswer: 10304668*f**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -124656 (base 7) in base 12?\nAnswer: -115b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekkkkkkekkkkkq. Give prob of sequence kq.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*d**2*o - 468*d**2 + 14*d - 7922384*o + 4 wrt o?\nAnswer: 3*d**2 - 7922384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*b - 334*b = 4338 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -9 + 0\/1. Let i(n) = n**3 + 112*n**2 - 465*n - 117. Let m be i(-116). Let l(y) = y. Let s(d) = -5*d. Calculate k*l(v) + m*s(v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/6 + (-84)\/(-9). Let x(p) = p**3 + 9*p**2 - 10*p + 3. Let g be x(-8). What is the second derivative of r + c*r**5 - g + 147 + 2*r**5 wrt r?\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -42*n**3 - 4*n**2 + n + 1. Is i(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5 + 214*l**4 - 768*l**3 - 5704*l**2 - 6592*l = 0. What is l?\nAnswer: -2, 0, 8, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 - 0.14. Let p = 1 + -0.9. Which is the nearest to p? (a) -4\/9 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + z + 0*z + 3*z - 2*z + z + (2 + 1 - 5)*(-3*z + z + 0*z) + 0*z - 3*z + 5*z - 2*z + 5*z - 6*z to w*z + f and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 20. Suppose -4*b = 8, 2*b - 32 = -3*a + 3*b. Calculate the lowest common multiple of a and z(-12).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 22609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 14. What is the units digit of t(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00151531 rounded to 5 decimal places?\nAnswer: 0.00152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 + 14*d + 9. Let s be r(-9). Suppose -38 = z - 2*z. Let q = s + z. What are the prime factors of q?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5665\/168 - -265\/8. What is the common denominator of i and 44\/35?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 151 + (-20)\/(-5) - 1. Which is smaller: 153 or k?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = t - 40, 5*t - 44 - 112 = 3*g. Calculate the highest common divisor of t and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -215. Let r = q - 154. Which is smaller: -0.3 or r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*26.258\nAnswer: -105.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*c = -2*c - 51, 5*w + 3*c = -74. Let s = -22 - w. Let k = 40 - s. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*u + 29, -3*i - 2*u = u + 12. Put -0.09, -0.3, i in ascending order.\nAnswer: i, -0.3, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 722 and 41437974?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (488 - 6085 - 2576 - 3636)*(z + 0 + 0).\nAnswer: -11809*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*d**2 - 3 + 0 + 16*d**2 + (-4*d + 5*d - 3*d)*(-3*d + 0*d + 2*d) + (-3 + 5 + 1)*(3*d**2 - 1 + 1) to u*d**2 + g*d + l and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**3 - 2*r + 2. Let a(u) = 2*u**3 - 3*u**2 - 4*u + 9. Let o be a(2). Let l(v) = 7*v**3 + 5*v - 5. Let p = 8 - 6. Determine o*d(x) + p*l(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n - 8*n - 2 + 3*n - 7 + 2*n**2 in the form q*n**2 + k + t*n and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 233 + -282.5. Let z = -9.5 - d. Let n = z - 42. Put 2\/7, -7, -3\/8, n in increasing order.\nAnswer: -7, n, -3\/8, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0756 + -45.1756. What is z rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 34160*b**3 + 11*b + 57. Let u be y(-7). Round u to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 + 72. What is the nearest to o in 5, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 27. What is the closest to u in 3\/7, 4, 3\/2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -22, 2, 5, 22042 in ascending order.\nAnswer: -22, 2, 3, 5, 22042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 87956*z + 3*z**2 - 87956*z.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.5 + -6. Let v = 2 - t. Let w = v + 0.5. Which is the nearest to 1\/2? (a) 2\/13 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78003961.\nAnswer: 7, 89, 125207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -a + 4*a + 20, 20 = 5*o + 4*a. Suppose -t = t - 5*m - 73, 0 = -4*m - o. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -9*k**2 + 5*k + 1. Let y(o) = -37*o**2 + 34*o - 5. Let s(q) = -9*q**2 + 8*q - 1. Let j(p) = 18*s(p) - 4*y(p). Give 8*f(i) - 5*j(i).\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 168345898.\nAnswer: -168345880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05772933 + 13?\nAnswer: 12.94227067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (54\/96)\/((-21)\/1374). Let g = v - -17\/56. Find the common denominator of 97\/6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 63708?\nAnswer: -5\/63708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82448996 to the nearest integer?\nAnswer: 9080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -146006386\nAnswer: 58402554.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/416782 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140777 and 442?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h = -3*x + 65, -2*x - 10 = 0. Let z(i) = -2*i + 70*i**3 - 36*i**3 + 3*i - 33*i**3. Let b(k) = 16*k**3 + 20*k. What is h*z(g) - b(g)?\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**2\/2 + 89*s + 4. Is w(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**2 - 4*r**2 + 2*r**2 - 3*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -410 divided by -3.\nAnswer: 410\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w**3 - 25*w**2 + 4*w - 2. Let n be -6*((-1)\/(6 - 246\/42) + 6). Determine c(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 2)*(6*b**2 - b + 5*b - 2*b).\nAnswer: 30*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -5. Suppose k*l = l + 12. Suppose -c + 2 = -l. Solve -33 = 4*q + c*s, -4*q + 0*s - 4*s - 28 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 - -1. Which is the nearest to 0.2? (a) 2 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 3\/4, 8, -0.4, 1\/4, -30 in descending order.\nAnswer: 8, 3\/4, 1\/4, -0.4, -29, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*n + 1128 + 1150, 0 = 5*n - 4*w - 2828. Is n a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 399 + 105. Let j be (-21)\/(l\/(-80))*(-45)\/(-6). Solve 6*t - j = 11*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1591\nAnswer: 3\/1591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7*i**2 - 10*i + 30. Let z(u) = 20*u**2 + 28*u - 84. Let l(d) = -14*w(d) - 5*z(d). Let x(n) = -2*n + 93. Calculate x(l(q)).\nAnswer: 4*q**2 + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/11221 or 0?\nAnswer: 12\/11221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11200201 (base 3) to base 10\nAnswer: 3421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o - 9. Suppose 3*h - 22 = d - 6, 4*h + 5*d - 34 = 0. Let w be y(h). Find the second derivative of 10*t**w + 11*t + 17*t - 40*t**3 wrt t.\nAnswer: -180*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + 2 + sqrt(19) + sqrt(19) - (sqrt(76) + 0 - sqrt(76) - sqrt(76))) + -2)**2.\nAnswer: 264*sqrt(19) + 2857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 + 16440*k**3 + 30090438*k**2 + 18504295872*k + 199928149311.\nAnswer: 3*(k + 11)*(k + 1823)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7990 and 4775435?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12008\/5 or -2402?\nAnswer: -12008\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3*l + 24, -2*h + l = 6*l + 32. Let z = h + 10. Determine i so that 4 - z*i**2 - 2*i - 6 + 8*i = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/6 (b) -0.47 (c) -1\/9 (d) -2 (e) 1.2 (f) -33\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/3))**(-47)\/(k**(8\/3)\/(k\/(k*k*k**(2\/21)*k))))**(-33) assuming k is positive.\nAnswer: k**(19195\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.19 - -0.19. What is the smallest value in y, 4, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40937 is divided by 20462.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100304304 + 2101?\nAnswer: 100311410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 3 (c) -9 (d) 5 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 179549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/18)\/(8\/96) + -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 43*v - 403. Let y be c(14). Solve 3 = -d + 2*i, -2*d - i + y = -1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 339 + 120. Let d = 662 - z. Is d a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 7*b - 1. Let y be f(6). Let s(v) = -v - 11. Let l be s(0). Let q = y - l. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -58. Which is smaller: i or 0.153?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87*p**6 + 118*p**4 - 21603*p**2?\nAnswer: -10440*p**3 + 2832*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*m = -5, 4*m - 2 = b - 4*b. Let i = 2 - -1. Suppose -i = -b*t + 5. Put t, 2, 3 in ascending order.\nAnswer: 2, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 5:23 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/238 and 32\/119.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-30)\/m**25)\/(m**(-3\/5)\/m**(1\/3)))**(-2\/9) assuming m is positive.\nAnswer: m**(1622\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5141?\nAnswer: 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 11. Suppose v - 5*v + 15 = 5*a, 3*v - 5*a - 20 = 0. Let y = v - -1. Solve h - y*j + 4 = -j, 4*h + j = s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4200 and 1137500?\nAnswer: 6825000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -11747*m - 283. Is g(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -619 (b) 2 (c) -1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*i + 0*i - 103*i - 36*i to the form f*i + c and give f.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(6\/3)\/(-6). Let j be (-124)\/(-6) - q\/(-3). Let h = j + -14. Solve -r = -4*c + 14, -h = -c + 2*r + 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 185583283.\nAnswer: 5\/185583283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 33607629?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 21474*y**4\/7 - 1717924*y**3\/7 - 10972894*y**2\/7 - 9231776*y\/7 + 1720\/7 = 0.\nAnswer: -5, -1, 2\/10737, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 + 2*b**2 + 2*b + 1. Let x be (1\/(-2))\/(4\/8). What is the least common multiple of (-2 - (3 - 0))\/x and k(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amc when three letters picked without replacement from {c: 1, m: 1, a: 1, r: 1, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4025736 by 792.\nAnswer: 5083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77415*d**4 - 209*d**2 - 69*d + 39 wrt d.\nAnswer: -1857960*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3 - 7460*t**2 - 82254*t - 179568 = 0. What is t?\nAnswer: -8, -3, 3741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.582879 rounded to zero dps?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 10:34 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-13 + 2532\/192)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*g = 4*g + 330 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 5*j = 8*g - 4616, 0 = -2*g - 4*j + 9208. What are the prime factors of g?\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 818 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.124 minus 9237?\nAnswer: -9236.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 14bb891?\nAnswer: -14bb896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1248 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -12. Let f(c) = c**2 - c + 21. Suppose 0 = -0*y + 3*y. Calculate the remainder when f(y) is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c - 16. Suppose 4*p - c = 8*p. Let i(q) = q**3 + 4*q**2 + 2. Let m be i(p). Calculate the highest common factor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -3\/2*r**2 + 4 - 1\/3*r**3 + 3*r. Give f(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1. Let l(n) = n - 26. Let a(h) = -h**3 - 18*h**2 + 15*h + 275. Let s be a(-18). Give s*v(r) - l(r).\nAnswer: -r + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 1. Suppose 5*c - 12 = -2*a + 1, -3*a - 12 = -3*c. Let n(p) = 3*p + 2. Determine a*n(u) - 2*w(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 + 3*u**2 - 5. Let w(a) = a**3 - a**2 + 1. Calculate m(v) + 3*w(v).\nAnswer: 5*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {f: 4, u: 6, p: 10}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 309*t**3 - 349*t.\nAnswer: 1854*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 49*m + 670. What are the prime factors of s(55)?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -1 - (-8)\/12*3. Solve 5*b + s - 25 = -0*b, -x*b - 2*s = -18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23316 is divided by 178.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -895 (b) -5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p + 521. Let u be -41 + 40 - 1\/(-1). Is j(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 3*z**6\/40 - 13*z**3\/6 - 4*z**2. Differentiate y(j) with respect to j.\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -16 + 2 + 3 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2 + 6*a - 7 = 0. What is a?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 31533330?\nAnswer: 725266590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1315 - 1255. Is b >= 66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -7\/33 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 3cd974a?\nAnswer: 3cd9751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 - (288\/(-135))\/(-1) and 41\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1990 is divided by 1419.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 10. Let b be 4\/(-6) + (-6)\/k. Let a(f) = -f + 3. Let p be a(b). Solve 2*h + 9 = p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -557.\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 10.2. Let f = -0.2 + k. Let x = 13 + -10. Which is the smallest value? (a) 2\/5 (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 4, h - 3*u = -4*u - 112. Let t = 210 + h. What is the remainder when t is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 8. Let h be u(4). Suppose 9 = -0*b - 3*b, h*p = -4*b - 8. Suppose -n = -9 + p. Calculate the greatest common divisor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/(-28) + (-6)\/(-4)*(-1 - 1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1325 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezzezez. What is prob of sequence zee?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -18. Let f(k) = -5*k - 15. Let m be f(-8). List the prime factors of (204\/r)\/((-10)\/m).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, 0.018, 1.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -1)*8\/(-80). Let h(f) = -f**2 - 10*f + 10. Let z be h(-11). Let y be z + 1 + 2 + 2. Which is the smallest value? (a) t (b) y (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -1 - (-5 - (1 + -2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 61.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - 30 - 35) + 40.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7865732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73079?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 774, 1336, 1900, 2466?\n\"Answer: n**2 + 559*n + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, l: 3, n: 2, u: 3, h: 5}. What is prob of picking 1 w and 2 n?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 8*o + 3. Suppose 4*t - 4*i + 3 = 11, -3*t + 36 = 3*i. Suppose 9*d - 16 = t*d. Let v(a) = -a**2 - 3*a - 1. What is d*v(y) + 3*u(y)?\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-400)\/20 - ((-8196)\/416 - 81\/(-1053))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -599*l**6\/15 + 1347*l**2\/2 + 1381*l. Differentiate n(o) with respect to o.\nAnswer: -4792*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 594 and 702.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 158444551 to the power of 1\/2, to the nearest integer?\nAnswer: 12587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963469 a multiple of 548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13510 - -13509.99982414. What is i rounded to 5 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/4)\/((-45)\/60). Solve -5*x - 19 = 2*u, h*x = -3*u - u - 17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0127563759 rounded to 6 dps?\nAnswer: -0.012756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 2 = -2*a + v, 5*a - 2*v = 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k + 2. Determine z(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1. Let t(h) = -31*h + 40. Let j(d) = a(d) + t(d). Is j(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 228 by 6.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, h: 1, c: 1, k: 6, n: 1, l: 1}. What is prob of sequence cl?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 5*c - c. Let a = 5 - 2. Let 0 - 4*l - c*l**a + 30*l**2 + 49\/2*l**4 = 0. Calculate l.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10745*s**3 + 5455*s**3 + 5291*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -0.1 (b) -4 (c) 1 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 140*h**2 - 55*h + 11. Let c(v) = 70*v**2 - 30*v + 6. Let y(k) = 11*c(k) - 6*s(k). Let z(f) = 12*f**2. Calculate z(y(l)).\nAnswer: 58800*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150506 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 3*v - 9. Let z be v\/3*19 - 2. Let t(i) = 4 + 20*i**2 - i**3 - z*i**2 + 0*i**3 + i. Calculate t(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14067 divided by -3.\nAnswer: -4689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.1 + -0.9. Let f = l + 5.8. Which is smaller: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 6 = -2. Let d = 440 - 288. Let z = -152.1 + d. What is the closest to w in 0.1, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -4*u**6\/15 - 4*u**3\/3 - 8*u. Find the second derivative of n(b) wrt b.\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 2:44 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 4*r - 3. Let n be o(5). Put 4, n, -5 in descending order.\nAnswer: 4, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*-39.\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - -0.1. Let u = -4.6 - -6.7. Let v = 2 - u. What is the third biggest value in 5, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -1.1 (c) 70 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 900 and 180?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 8*m + 2. Let q be i(-7). Suppose -c = -48 + 3. Suppose q*t - c = 4*t. What is the greatest common factor of t and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 2, -1036, 4 in descending order.\nAnswer: 5, 4, 2, -1, -1036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128800 divided by 115.\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 5*l**4\/2 - 7*l**3\/3 - 2*l**2 + 6*l + 47. Let r(c) = 11*c**3 - 8*c**2 - 5*c + 7. Give -6*r(o) + 7*u(o).\nAnswer: 4*o**3 - o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 12:31 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004089153 to 5 decimal places.\nAnswer: 0.00409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.15 (c) -6.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -251 + 251. Let s(i) be the third derivative of 1\/30*i**5 + 0 + 0*i**4 - 4*i**2 + 0*i**6 + 0*i**3 - 1\/105*i**7 + m*i. Factor s(v).\nAnswer: -2*v**2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101305\/7 + 14473. Put o, 2, -1\/571 in ascending order.\nAnswer: -1\/571, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -408*w**2 - 5*w + 5*w + 406*w**2. Let n(c) = 17*c**2 - 5*c. Let t(j) = -9*j**2 + 2*j. Let q(h) = 4*n(h) + 10*t(h). Give l(q(z)).\nAnswer: -968*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -47 + 3a?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2109469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x*x**(-5\/9))\/x)\/(x\/(x*x*x*x*x\/((x*((x*(x**(-2\/23)*x)\/x)\/x)\/x)\/x))))**30)**(-2\/13))**(5\/7) assuming x is positive.\nAnswer: x**(-13400\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 972.1214 micrograms in nanograms?\nAnswer: 972121.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by 175040?\nAnswer: 7\/21880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + 0.2. Let h = -26.5 - -13.5. Which is the second smallest value? (a) -0.4 (b) s (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.00716 and 1.085.\nAnswer: -0.0077686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132858 + 132862. Suppose 3*u + 4*z + 18 = 0, 0 = -2*z - 6. Which is the smallest value? (a) k (b) 9 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 2*n - 6*n = -0 - 1, 31*n + 34 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -7. Let x be (y - -1)\/(0 + 1). Solve x = -5*c - 0*t - 2*t - 35, 3*c + 3*t = -30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 6*z + 2. Let c(x) = x**2 - 6*x - 12. Let b be c(7). Does 6 divide j(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1989 and 20723.\nAnswer: 2424591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7220 and 760?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378*k - 384*k = -2760. Suppose -3*s = k - 1321. List the prime factors of s.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7227 a factor of 2863046000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1216389 less than 306?\nAnswer: 306.1216389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -260?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 - 48*x**2 - 2*x + 29. Give y(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f. Let q(u) = -332*u**2 + 6*u - 12. Let l(d) = 59760*d**2 - 1079*d + 2158. Let m(k) = -6*l(k) - 1079*q(k). What is m(o(v))?\nAnswer: -1328*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 256 = 63*d. Solve -5*c + 4*x - 5 = 0, 2*x = d*x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*g = 99 - 669 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*(-8)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 43*w - 393. Let m(a) = -43*a + 391. Let b(k) = 3*m(k) + 2*o(k). Let u be b(9). Solve -2*q - 4 = u, g - 2*q = -g + 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 116 + -242. Let q be 2\/(-14) - 1026\/f. What is the highest common divisor of q and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 1573639?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -8. Suppose -11 + 2 = -3*w. Suppose w*n - 12 = -21. Put -4, y, n in increasing order.\nAnswer: -4, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196619647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(105) + -3*sqrt(105) + sqrt(105))*3 - sqrt(105)) + sqrt(105))\/sqrt(7))\/(1*3*sqrt(245))*-3.\nAnswer: 3*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001110 (base 2) in base 11?\nAnswer: -11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbbpgap. What is prob of picking 1 a and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 215\/385 + 12\/(-42) and 19\/276.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20487 (base 16) in base 6?\nAnswer: -2500103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/84042 and -7\/828.\nAnswer: 168084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8085\/(-6760) + 7\/56 + 1. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 1. Let n be j(-3). Let x(u) = -6*u - 2. Let o(s) = -s**2. Let g(a) = -o(a) + x(a). Calculate the remainder when g(n) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2 - 3)*1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12a (base 14) to base 6\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 11. Let i be y(-7). Suppose 0 = -x + p + 4*p - 17, -8 = -i*x + p. Let c = -19 + 27. Solve -3*r - 4*v + c = -7*r, -x = 3*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 6648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 - 186244*t - 19380192.\nAnswer: (t - 186348)*(t + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37737, -75933, -114129, -152325?\nAnswer: -190521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 3) in base 5?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 5 = 6*n. Let a be (n\/(10\/12))\/(-3). Factor -3*t + 2*t**2 - 7 + t + 5 + a*t**3.\nAnswer: 2*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 400.\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -261057?\nAnswer: -261060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 72659 to the nearest one hundred.\nAnswer: 72700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*n**2\/2 + 13345*n\/3 - 25\/2 = 0 for n.\nAnswer: 5\/1779, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 134791336 to the power of 1\/3, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*s**3 + 20030*s - 20030*s + 1 as h*s + v + t*s**3 + i*s**2 and give t.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/10)\/(-1) + (-23)\/(-18).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 346128404?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 10. Let v(x) = -x**3 + 3*x**2 - 5*x - 1. Give v(i).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 5*u - 3. Let g = 561 - 564. Let o(a) = a**2 - 2*a + 1. Determine g*l(p) - 7*o(p).\nAnswer: -p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -3*x**4\/22 - 76*x**3\/11 - 1275*x**2\/11 - 6936*x\/11 + 126. Factor z(j).\nAnswer: -6*(j + 4)*(j + 17)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*l - 2 = 9, -5*s + 17 = 4*l. Suppose 5*y + 110 = -5*w + w, 0 = 3*w. Sort y, s, 0.\nAnswer: y, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a decade in months?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21821 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1865, -1888, -1927, -1982, -2053?\nAnswer: -2140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0042 - -12.6958. Which is greater: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - 20. Let b be 36022\/18 + (-4)\/n. Is -4 - (4 - b\/1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/40 - (-256)\/10. Suppose v*f - 2500 = 20*f. What is f rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3062 divided by 131908\nAnswer: 1531\/65954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1540 + -1055. Suppose c + 3*o = 97, -4*c - 2*o + m = c. What is the remainder when c is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*l - 0*l - 208. Is 22 a factor of (-2027)\/(-2) + 136\/l + 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 537522.6 nanograms in tonnes?\nAnswer: 0.0000000005375226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 2*a - 24. Suppose z - a = -z. Find the third derivative of 425*v**z - 215*v**6 + 11*v**2 - 222*v**6 wrt v.\nAnswer: -1440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(7\/((-28)\/8)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-457 - 4*c + 457)*(-6*c**2 + 11*c**2 + 5*c**2) - c**3 + 2*c**3 + 0*c**3 + 3*c**2 + 2*c**3 - 3*c**2 in the form u + s*c**2 + i*c + n*c**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 4380*j + 2212*j + 2260*j.\nAnswer: 92*j - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*-2*(-4)\/(-16). Suppose -p = -i*p + 130. Let b = -90 - p. What is the highest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 68, -0.25, -13, 2\/5, -0.7?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -349*d - 686*d + 863*d**2 - 868*d**2 - 134*d - 677*d to the form h + f*d + x*d**2 and give f.\nAnswer: -1846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -28295 divided by 5\nAnswer: -5659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 6:34 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37459 - 37342. Solve -123*a = -p*a + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63067*l**2 + 74160*l wrt l.\nAnswer: -126134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5586519737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -158 and 3.\nAnswer: -474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/420)\/(76\/12 - (-2)\/(-4))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 5 = 3*m - 4*r, 2*m + 4*r = 58. Solve -3*o + 5*d - m = 4, 4*d = 8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r**5\/7 - 282*r**4\/7 - 680*r**3\/7 + 1304*r**2\/7 - 480*r\/7 = 0. What is r?\nAnswer: -12, -5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.15 to 1 dp.\nAnswer: -68.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -299 + 303. Solve 0 = 4*u + 4*l, 2*u - 45 = -3*u + g*l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000081795181 rounded to 7 dps?\nAnswer: -0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 356 - 350. Let r = -2 + u. Solve -r*t + 3 + 9 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*x - 122 = -494. Suppose -5*u - 9 = 1. Suppose -4*c = -0 + 20. Sort x, u, c in increasing order.\nAnswer: c, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -794*g**7\/35 - g**4 + g**3\/6 + 3099*g**2. What is the second derivative of t(r) wrt r?\nAnswer: -57168*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - 5*p**4 + 3*p**4 + 18 + 4*p + 6*p**3 to the form x*p**4 + j*p**3 + h + a*p + c*p**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -127.999939 - -128. What is w rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (52\/10 - 2)\/((-364)\/(-120) + -3). What is the highest common factor of x and 1696?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 v when four letters picked without replacement from ovqvoddqdddq.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*t - 43, 4*x - 5*t + 1 = 152. What is the highest common divisor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -2, -0.4, -1 in ascending order.\nAnswer: -13, -2, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = 4. Solve -t + f + 0 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 9*k - 20. Let m be n(14). Suppose y + 3*u - m = -4*y, -u + 8 = y. Solve 0 = -y*x + 10*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47685 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y**(-4)\/y*y)\/y))\/(y\/((y\/(y*y**(-3)\/y))\/y))*(y**(-1\/3)*y)\/(y**(1\/6)\/y))\/(((y**(-2)\/y)\/y)**(-1\/2))**(-3) assuming y is positive.\nAnswer: y**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 420, 0.04, 0.1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41, 103, 183, 281?\n\"Answer: 9*g**2 + 35*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14320 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*3\/18*(-6)\/(-18). Let y(d) be the third derivative of -1\/8*d**4 + 0 + 0*d**3 + f*d + 6*d**2. Let c(a) = -a. Give c(y(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32108456?\nAnswer: 2, 4013557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0203 - 92.\nAnswer: -91.9797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4\/5, 3, 7, -3, -0.2.\nAnswer: -3, -0.2, 4\/5, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*l + 4356 + 5110 = -131*l - 752 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 2379.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*a + 2 = 2*l, 2*a - 10 = 2*l. Let f(q) = 12*q + 24. Let r be f(l). Sort r, -3, -6 in ascending order.\nAnswer: -6, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*i - 10, i + 4 = 4*g + 4*i. Let b be -3 + (g - -5) - -2. Suppose -b*s - 52 = -4*s. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -7*s + 84. Let o = s + -17. Calculate the remainder when 42 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 32 = -4*k, -k - 3*u + 4*u = 7. Let x be 1*k*1\/(-3). Let a = -16 - -27. Solve -2*n + x = a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781 is divided by 264.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -21. What is the remainder when 3\/k + 128\/6 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*u - 3235, 0 = -5*c - 18*u + 5*u + 8026. List the prime factors of c.\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -41 + (102 - 80) - -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(252)*5 - sqrt(252))\/sqrt(9).\nAnswer: 38*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 306457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + s - 2, -67 = -3*p - 2*s - 66. Is p less than 16\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4797.979um to meters.\nAnswer: 0.004797979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3885 divided by -1295\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 + 17*v**2 + 7*v. Suppose 0 = -88*f + 9*f - 49*f - 1024. Determine l(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*d - 5 + (0*d - 2*d + 0*d)*(2 - 2 + 1) - 3*d + 0*d + d)*(774*d - 5*d**4 - 774*d).\nAnswer: 10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 26, -20 in descending order.\nAnswer: 26, 3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 15*c**2 - 7*c - 17. Suppose 18*a - 12*a = -24. What is the units digit of o(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than 15177344382?\nAnswer: 15177344379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11106883.\nAnswer: 113, 227, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z + 29 - 22 - 3*z - 5*z. Give c(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -231?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 5:50 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (68 - 68 - 15*n**2)*(-8 + 8 - 5*n) to the form x + d*n**3 + j*n**2 + t*n and give d.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -191*(2 + 0 + -1). Let c = -113 - j. Is (-2 - c\/(-4))*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a century in months?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(-i + 2 - 2) + 2*i + 5*i - 4*i + 1 - 2 - 1 + 2*i.\nAnswer: 7*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -25c278 (base 13) to base 7\nAnswer: -10516311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84*o**2 - 3577*o - 8554204 wrt o.\nAnswer: -168*o - 3577","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 5)*(-15*o**2 + 10*o**2 - 15*o**2) - 5*o**2 + 3*o**2 + o**2.\nAnswer: 159*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 3, -62, 5.\nAnswer: -62, -3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -25*o**4\/16 - 61*o**3\/2 + 45*o**2\/2 - 1695*o. Find j such that f(j) = 0.\nAnswer: -10, 6\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7\/6 - -11\/12. Let p = -101.4 + -97.6. Let g = p + 198.9. Which is the nearest to t? (a) -0.07 (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1042410 divided by -6?\nAnswer: 173735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 35403228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 145857 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62393 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 17, n: 2}. What is prob of sequence xn?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 13. Find the second derivative of 17 + 2*r**2 + 7*r - z wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 19 - (17 + (16 - 75) + 8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4463.383ml in litres?\nAnswer: 4.463383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33949\/3994 + (-4)\/(11592\/24619)?\nAnswer: 1\/207","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, -5, -4, 83 in descending order.\nAnswer: 83, 12, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -1\/2, 3\/7, -182?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434057 is divided by 12763.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*i + 195*i - 3*q = 12, 4*q = -i - 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6518 - 4208. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 - 15*x**2 + 6*x - 16. Let g be w(-8). Suppose -22*r + 2634 + 1590 = g. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -4 + 0*t**2 + t + 1\/36*t**4 - 1\/18*t**3. Let g(r) be the first derivative of u(r). Let g(d) = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/15 - (-157)\/(-204)*-14. Let o = 67\/6 - d. Sort -2\/19, 1, o in ascending order.\nAnswer: -2\/19, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (147\/(-98))\/(12\/88*-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -599*z + 594*z - 46, 4*z + 10*a = -0*z - 30 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -56, -70, -96, -140, -208, -306, -440, -616?\n\"Answer: -x**3 - 7*x - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-299391)\/60720 + 2\/(-11). Let q = c - -71\/20. Find the common denominator of q and 77\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 16 - 4 = -2*m, -2 = m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -35*a - 980. Let w be o(-28). Let b(f) be the first derivative of 12 + w*f + 0*f**3 - 2*f**4 + 1\/2*f**2. What is the second derivative of b(x) wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19154048 and 36?\nAnswer: 172386432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/603 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 57 = -t - 18*g, 4*t - 4*g + 292 = 0. Sort -3, t, -1 in increasing order.\nAnswer: t, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence caxz when four letters picked without replacement from zzzccaxezxxzmec.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 227 + -94. Let w = i - 132.8. Which is the closest to 23? (a) 1\/8 (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1004 and 11628830.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5\/3 - 3291152*f**4\/3 - 2707920371773*f**3\/6 + 4936727*f**2\/6 + 1015469316628*f\/3 - 338490046472\/3 = 0.\nAnswer: -822788, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62829, -125668, -188507, -251346?\nAnswer: -314185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7582 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from buialinn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46135073779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -11665937\/73 smaller than -159807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 - 4*f**2 - 4*f - 3. What is the units digit of i(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 - 22 + 41 - 255*n + 0*n + 5*n - 4*n + (2 - 1 + 0)*(-2*n + n + 2*n) + n - 3*n + n.\nAnswer: -254*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*2\/(-4*(-2)\/4). Let b be 4\/k + 71 + -2 + 4. Calculate the highest common factor of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-15)*(-6)\/4. Suppose -68 = -a*z + z. Is 6 a factor of (z\/(-16))\/((-1)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 273*m**3*q**2*z + 2*m**3*q**2 - 29*m**3*q - 3*m*q*z - 2*m*z wrt q.\nAnswer: 546*m**3*z + 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 224696484*c*q**5 + 63*c*q**2 + 44*c*q + 11*c + 171*q**2 + q wrt q.\nAnswer: 13481789040*c*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.0783 + -0.0183. Let p = 6 - s. Let h = -0.0603 - p. What is h rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165762 is divided by 2256.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/3*(-27)\/63. Solve 22 = -5*p + 4*y, p - l*y + 14 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 442 and 2108.\nAnswer: 27404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d3 (base 16) to base 8.\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2299878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17)\/51*(-228)\/10. What is u in -a*u**3 + 8\/5*u + 16\/5*u**2 + 0 + 14\/5*u**4 = 0?\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10487938 times 4?\nAnswer: -41951752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/495*((-15)\/(-4))\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.17 + -0.03. Let h = x - 0.54. Let l = -9.5 - -10. Put l, 0.3, h in increasing order.\nAnswer: h, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*l**2\/2 - 15*l\/2 + 1.\nAnswer: (l - 1)*(13*l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -77*b + 294. Let l(n) = 15201*n**2. What is g(l(z))?\nAnswer: -1170477*z**2 + 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + sqrt(245) + (sqrt(245) - 6*(-3*sqrt(245))**2).\nAnswer: -13231 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26927 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + a - 5*a + 4, 5*o - 20 = 5*a. Let j be (-1 + 4)*(-2)\/(-3). What is the highest common divisor of j and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 170*k + 1. Let c(u) = u + 2. Let n(m) = -6*c(m) - j(m). List the prime factors of n(-1).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.36 + -0.87. Let z = -0.23 - v. Suppose -4*a + 8 = -2*a. Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s - 226 = -166 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkn when three letters picked without replacement from ikrrknirrikrriiri.\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 5*o + 1493 = 16*o - 187 for o.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 6 = 3*t. Let z = -25 - -28. Solve -t = -z*u + 6*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/15*3\/2. Is (z\/4)\/((-3)\/834) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27924568.\nAnswer: 2, 7, 498653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10 - (-2)\/2)*(-38)\/57. Calculate the greatest common factor of u and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 113.\nAnswer: 1\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one fifths of a millennium?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 + 6 + -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*6\/351)\/(((-580)\/87)\/(-20)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - i**2 - 10*i + 8. Let h be o(3). Let r = 12 + -8. Calculate the remainder when r is divided by (-6)\/14 - (-12)\/(-14)*h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-432)*(-9)\/(-45)*6)\/3.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -157, -235, -313?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + p = 6, -y + p = -2*p - 3. Suppose 39 - y = 4*w. Suppose 32 = 3*o + 3*i - 64, -3*o + 4*i + 110 = 0. What is the remainder when o is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from afffbablzaaaaaaal. Give prob of sequence alf.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20)\/(-10) + (-3)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Suppose v = -3*v. Differentiate -y + 1 + 2*c**2 + v wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from {t: 5, n: 1, e: 4}?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 9948.\nAnswer: 69636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 867372*u**2 - 1734704*u**2 + 867332*u**2 + 311*u**3.\nAnswer: 311*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1261*y**2 + 461*y**2 + 36 - 36 + y to the form t*y + w*y**2 + g and give w.\nAnswer: -800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -24.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*c\/(c\/((c*c**(-2))\/c)*c)*((c**0*c)\/c)**(9\/4))**1 assuming c is positive.\nAnswer: 1\/c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 27*w + 57. Calculate c(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 20 = -4*j. Let h be (-1 - 0)\/(1\/3). Let u(d) = -d**3 + 6*d**2 - d + 6. Let b be u(6). Sort b, h, j in decreasing order.\nAnswer: j, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2*8*(-33 + 5491\/170)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 0.1, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 935179\/13 - 72057. Let j = z + 120. Which is the third biggest value? (a) 1 (b) j (c) -2\/7 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**3 + 4*l**3 + l**3 + (-3 + 3 + 2*l)*(-l**2 - 3*l + 3*l) + l - l + 6*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 132\/(-22) + -1 + 5. Let c be (0\/(-2))\/(s*(-2)\/(-1)). Solve 3*d = 2*t + 1, 0*d - d + t - 1 = c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 5*n + 3. Suppose -r - 21 = r + g, -2*r + 2*g - 6 = 0. Does 9 divide w(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-48) + 14\/(-8). Let g be z\/(-2*10\/(-4)). Which is the nearest to g? (a) 0.3 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56195*i*y**3 + i*y - 15998*i wrt y?\nAnswer: 337170*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 22453.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 5*k**2 - 3*k + 2. Let s be m(-6). Let f = 26 - 52. Let o = s - f. Solve -20 = 2*u + 8*w - 4*w, -4*u = -2*w + o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000171086 rounded to six decimal places?\nAnswer: -0.000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 100500.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*d - 1. Suppose -s + 4*j + 337 = 0, 4*j - 2 - d = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 16 = -3*z, 0 = -5*a - 4*z + 2 + 16. Suppose 0 = 2*j + h - 218, 0 = -a*j - 2*h - 2*h + 218. What is the remainder when j is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53174 - 159520 + 53175 + 53171 + 3*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 10*j**2 + 11*j + 16. Let q be o(11). Suppose 4*r - 4*w + 0 = q, -r + 3*w + 12 = 0. Which is the nearest to r? (a) 6 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0*t - 168. Let j = t - -21. What is the remainder when (-14)\/j + (-100)\/(-3) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + b**3 + (340*b**3 - 270*b + 384*b**3 - 744*b**3)*(4 + 0 - 2).\nAnswer: -39*b**3 - 540*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 1:10 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -7. Let t = -327 - -198. Let z = 131 + t. Solve -3*g = -y - 7, -5*g = -d*g - z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/6 and 2 - (-6139)\/1260 - 49\/7?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*o + 550*o + 1089 = 148*o + 111*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*o - 13*o = 1287 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -53*g - 354. Let h be z(-6). Suppose -11*s = -7*s + 144. Is h at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 24) + 15 + -3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 57.128, 2\/5, -25?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 - 5*s**2 - 11. Let u be q(4). Suppose 2*v = 5*w - 23, 0 = 4*v - 2*w - 15 + u. Sort -5, v, 1 in ascending order.\nAnswer: -5, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15762104 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 65*g**2 - 78*g - 467. List the prime factors of a(-6).\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.13628 rounded to 0 decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n + 2*n + 5*n + 2. Let g be v(6). Factor -7 + 25*c**2 + g*c + 0*c**2 + 11.\nAnswer: (5*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -36. What is the remainder when 37 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from pbbppb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -40, -1\/2, -5 in decreasing order.\nAnswer: 12, -1\/2, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -1\/5 (c) 0 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/16 - (-95)\/228.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 177260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -239, -361, -483, -605, -727?\n\"Answer: -122*g - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 14*h**2 - 15*h + 16. Let g be s(13). Let r = -7 - g. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 8:19 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1597.29104 to the nearest integer.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11411, 22818, 34225, 45632, 57039, 68446?\n\"Answer: 11407*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227410 divided by 5.\nAnswer: -45482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 6.056. Let p = t - -0.12. Let f = -0.794 + p. What is f rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*d + 25432, -d + 2*k + 1553 = -4808. What are the prime factors of d?\nAnswer: 5, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -7. Let y(l) be the second derivative of -l**4\/12 + l**3\/2 - 3*l**2\/2 - l + 43880. Determine y(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*j - 1 + 4, l = 3. Suppose -4*g = -0*g - j*g. What is the closest to g in 2, 0.3, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 111, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*f**4 - 109*f**2 + 75*f**4 - 27*f**4 + 2*f**3 + 35*f**2 wrt f.\nAnswer: 984*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 8. Let n be h(12). Solve v = -n - 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1 + 0 + 0 + 3. Let c(q) = -q. Let h(x) = 3*c(x) + f(x). Differentiate h(v) wrt v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3 + 3*z**2 + 0 + 2*z**2 - 3*z**2. Let x(y) = 3*y**2 - 5. Give 5*o(g) - 3*x(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 6 + 9 - 14*n in the form d*n + h and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -16. Suppose -5*u + v*x - 2*x + 399 = 0, -u + x + 77 = 0. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 5*k - 110 = 3*f, 2*f - 76 = -2*k. Which is smaller: f or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 6*g - 15*g + 8*g + 4*g as c + k*g and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 314 + -4?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1725 at most as big as -3598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 4*v = -20. Suppose 5*x = -3*f - v + 567, 0 = f - 2*x - 191. Let c = -84 + f. What is the greatest common divisor of c and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-2150)\/180)*52\/91?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - (0 + sqrt(832))) + -1 + (sqrt(832) - (0 + sqrt(832))) + sqrt(832) + 2 + -3)**2 + 3 + sqrt(39)\/(sqrt(12) - sqrt(3)) + (-1 + sqrt(1300))*1.\nAnswer: -21*sqrt(13) + 838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (-34 + (45 - 11) + -51)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(65) - (-1*sqrt(65)*5 - sqrt(65)) - sqrt(65))\/(sqrt(30)\/sqrt(96)))**2.\nAnswer: -48*sqrt(13) + 7489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50488, 7, -1, 4 in descending order.\nAnswer: 50488, 7, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6851194073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3. Let o(a) = 2*a**3 + 3*a**2. Suppose -b + 5*b = -4*w - 24, -5*w + b = 0. Let f(g) = w*o(g) - k(g). Find the third derivative of f(p) wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42506 - 42514. Let t(v) = 2*v - 9. Let s be t(6). Which is the second biggest value? (a) s (b) -16 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53753704.8 - 53754279.798266. Let d = g - -575. What is d rounded to four dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 + 22*a**2 - 41*a + 45. Let t be c(9). Solve -4*m - 4*s = -3*m + 1, t = -4*m - s - 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*m = 63, 0*w = -w - 4*m + 75. What is the remainder when w is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*y**2 - 64*y**3 + 5215235*y - 5215435*y + 3*y**4 + y**4 = 0. Calculate y.\nAnswer: 0, 1, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**3 - 292*v**2 - 93*v + 387. Let p be z(-97). Is p at least as big as -2\/50385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 38*v - 36*v + 48918 = 0, 3*v = -18. Does 78 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132 + 6. Does 46 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 142 = 65 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 8*x**2 + 11*x + 1. Is a(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c**2 - 582*c - 583. Let t be p(98). Solve -y + 49 = x + 48, 0 = -t*x + y + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -719 - -2376. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56\/57 - -6\/19. Which is the closest to p? (a) -3 (b) 6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6ec (base 15) to base 13.\nAnswer: -93c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515893 is divided by 10686.\nAnswer: 2965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 153955 or 153961?\nAnswer: 153955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1797.\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -102110220111 (base 3) to base 14\nAnswer: -5c494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(68)\/sqrt(4))**2 + 3*sqrt(17)*2 - (-4 + sqrt(272) + (sqrt(272) + -3 + sqrt(272))**2).\nAnswer: -1051 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -47810 (base 12) in base 15?\nAnswer: -1d789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 37, -0.48, 2\/25, 41, -4 in ascending order.\nAnswer: -4, -0.48, -0.4, 2\/25, 37, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v + 44100 = -15*v. Suppose -2*j = -5*l + v, 4*j - 411 = 4*l - 2175. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-1 + (-9 - -13). Suppose -4*y = -2*p + 1356, 5*p - 6*y = -m*y + 3397. List the prime factors of p.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/15)*b**(-1\/3)*b**(-1\/3)\/((b\/(b*b*(b*b**(-5))\/b))\/b)*(b\/(b*b**7*b)*b**8)\/((b*b**3*b)\/(b**(5\/4)*b)) assuming b is positive.\nAnswer: b**(-131\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*x)*(4 - 1 - 2)*(-1246 - 16 + 236 - 1144).\nAnswer: -4340*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3061, 0.4 in descending order.\nAnswer: 0.4, 0, -3061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -57*o + 53*o, -102 = -8*x + 2*o for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlk when three letters picked without replacement from {k: 1, l: 4, z: 3, v: 10}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 2:07 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -145030683.79 and 234.\nAnswer: -145030449.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -73*i**6\/120 - 29*i**5\/20 - 2*i**2 - 53. Find the third derivative of c(f) wrt f.\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(3 + 62\/(-10)). Suppose 0 = -a + 2*w - 3 - 5, -4*w = -4*a - n. Solve 5 = 5*d, 3*v + 3*d + 0 - 6 = a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.02, -3\/7, -3\/2, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*w + 34*w + 20 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 2*t**5\/3 - 17*t**4\/12 - 11*t**2 + 1. Find the second derivative of y(d) wrt d.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 2*x**2 - 2*x. Let y(l) = -l + 13. Let f be y(6). Let h be 8\/3 + 2\/(-3). Let d(c) = 4*c**3 - 7*c**2 + 7*c. Give f*s(z) + h*d(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((72 - (118 + -47)) + (-6 - -1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.1. Let y = w - 0. Let l = 3.1187 + -7.1187. Which is the fourth smallest value? (a) 0.1 (b) l (c) y (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l**3\/7 + 42664*l**2\/7 + 438408*l + 2026944\/7 = 0 for l.\nAnswer: -7038, -72, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f - 18 = 4*l, -12 = 4*l + 2*f. Let z be (l - (2 - 3)) + -19. Let v = z + 47. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 0*k - 7\/6*k**3 + 0 - 1\/12*k**4 + 4*k**2. Let a(t) = 2*t**3 + 3*t**2 + t + 1. Let z be a(-2). What is u(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 3 + 1)*(d - 2*d - d) + (-d - 3*d + 2*d)*(-6 + 4 + 3))*(172 + 116 - 47) as n*d + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1327 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 6*s**2 - 6*s + 1. Let b be l(-7). Let j be (-34)\/b - 1\/(-3). Factor 3*a + 2 + 4 + 3*a**2 - j.\nAnswer: 3*a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, n: 3, q: 7, z: 3}. Give prob of picking 1 z and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*z = -16, -4*w + z = 6 - 19. Let c(h) = 15*h**2 + 3*h - 6. Let y be c(w). Suppose 5*u = y - 18. Round u to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 83.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -47. Let q be 1\/4 - l\/240. Determine v so that 2\/5*v + q*v**2 - 2\/5 - 2\/5*v**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(4)\/(sqrt(4)\/sqrt(2)) - sqrt(64)\/sqrt(2))*-2.\nAnswer: -3 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 17*4\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1672*h**3 + 1786*h**2 wrt h.\nAnswer: -10032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 842*f - 15 + 51 - 14 - 1672*f - 22 + 831*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 45. Suppose -2*r = w + 4 - x, r = -2*w + 10. What is the highest common factor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 76792099.14 and 2.11.\nAnswer: 76792101.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196, -9, 1 in increasing order.\nAnswer: -9, 1, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t**(-3\/16)\/t)*t)*t)**(3\/37) assuming t is positive.\nAnswer: t**(-9\/592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 7 - 2. Let r be p + (-1)\/(54\/176). Let w = 89\/135 + r. What is the closest to w in 0.4, 4\/7, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -47.87 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/10 (b) -5\/22 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5730*z**2 - 4*z. Let g(q) = -q. Give g(c(f)).\nAnswer: -5730*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/168 and -57\/52?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(84))\/sqrt(6) + sqrt(14))\/(-4*(sqrt(2) + sqrt(32))).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) -4 (b) -3 (c) -10 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (3 - (-3 - -5) - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 8:57 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j**4 - 39*j**3 - 855*j**2 + 4104*j - 972 = 0.\nAnswer: -9, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -18.2, -30\/19 in descending order.\nAnswer: -1, -30\/19, -18.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21415 + 1?\nAnswer: -21414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/234 and 79\/37794.\nAnswer: 1473966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -g + 3*q, 2*g = 2*q + 3 + 1. Suppose 0*r - 2*j + 87 = 5*r, 4*r - g*j - 96 = 0. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) 7\/9 (c) -1\/9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**5\/30 - 7*w**2\/2 + 5. Let l(c) be the second derivative of o(c). Let s(g) = -4*g + 2*g + 0*g. Give l(s(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56459 = -401*u + 23*u - 1155*u - 53917 for u.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v + 0*v - 6*v in the form x*v + b and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*o + 135 - 82 = -107 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.392, -0.1, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**3\/3 - 2*x**2 - 5*x + 3. Let i be z(-4). Let y(n) = n**2 - 8*n + 3. Let g be y(7). Which is smaller: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d + 23. Let s be p(-10). Let n(r) be the second derivative of 0 - s*r + 0*r**3 - 1\/54*r**4 + 0*r**2. Let n(u) = 0. Calculate u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.01 or 1236\/5?\nAnswer: 1236\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2 + 2. Let d = i - -0.4. Let m = -0.4 + 0.2. Which is the second biggest value? (a) d (b) m (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86 and 13502.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 213991834?\nAnswer: 1\/213991834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4)*u**3*(u**0\/u)\/u**(-2\/13) assuming u is positive.\nAnswer: u**(-24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6624?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (9 - (-7 - -22))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/15*65\/(-104)*(-104)\/(-26).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -369*x - 488*x - 246*x - 57*x - 101*x to c*x + f and give c.\nAnswer: -1261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 714960 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613067 + 613067 + 495*h**2.\nAnswer: 495*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**8\/672 + g**7\/420 - g**4\/6 - 4*g. Let z(m) be the third derivative of h(m). Find the third derivative of z(b) wrt b.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is bb2ac6 (base 13) in base 15?\nAnswer: 5c012a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 298220 <= 298219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.33 + 575604.96172\nAnswer: 575605.29172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 440848 - 1.5911?\nAnswer: 440846.4089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -6. Let k(o) = -o**3 + 2*o + 4. Let h be k(0). Solve -h*d - 3 = j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*r*u - 289*r - 10*u with respect to u.\nAnswer: -17*r - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 404547\/55 - 2*(-1)\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4508.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 19*n**2 - 2*n + 2 to the form o*n + r*n**2 + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/8*-4)\/(-3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/5 - 4\/(-10). Let n(p) = 4*p + 1. Let m(v) = v + 1. Let b(i) = m(i) - n(i). Does 3 divide b(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(756) + sqrt(756)*4 - sqrt(756)) + sqrt(756)))\/(sqrt(588)*2 + sqrt(588) - sqrt(588))*-6 + -4.\nAnswer: -180*sqrt(7)\/7 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/9 - 70\/315. Is (83220\/120)\/((-1 + 0)\/b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -35*r - 1. Let w be k(1). Let o(v) = 4*v**2 - 10*v + 7. Let s be o(4). Let c = w + s. Put c, 0, 5 in descending order.\nAnswer: 5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/5 - 11\/40. Let s = -1.783 - 2.017. Put w, -3\/5, s in ascending order.\nAnswer: s, -3\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/6)\/k**(-2))**(-4\/25)*k**(1\/6)*k\/(k\/((k**(2\/9)\/k)\/k))*(k*k\/(((k\/(k**(-1\/2)\/k*k))\/k)\/k))**(8\/9) assuming k is positive.\nAnswer: k**(119\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.3801 + 0.0799. Let l = -1.74 - v. Round l to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**4 - 2 - 4*s**3 - 3*s - 4*s + s**3 + 4*s**3 to q + o*s + n*s**4 + j*s**3 + k*s**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 3*a + 21. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 u when three letters picked without replacement from rdguguvdvvguvvdr?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4080, -8290, -12498, -16704, -20908, -25110, -29310?\nAnswer: -33508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**3 + 3*j**3 - 2*j**3 + (3 - 3 + 2*j**3)*(-1 + 2 - 2).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.4186 less than 4?\nAnswer: 32.4186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/11)*b**(-10))\/(b\/(b\/(b*b*b**(-11)\/b))*b*b**(-2\/31)) assuming b is positive.\nAnswer: b**(-381\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 651*d - 233*d + 4180 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -340 + 344. Factor 524*y**2 - n*y - 4*y - 528*y**2 + 96.\nAnswer: -4*(y - 4)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19600872 to the power of 1\/2, to the nearest integer?\nAnswer: 4427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f - 27 = -39*f. Suppose -f*x + 2*p = -1257, -4*p = 6*x - 9*x + 1257. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -12*j**2 - 1. Let t be f(-1). Let c = t - -15. Calculate the least common multiple of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 2*i - 6836 = -2*i - 6849, 3 = -3*i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 1:57 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 11\/2)*(-4552)\/(-20). Let g = -566 - v. Solve g*o = o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (95 - 58 - (29 + 7))*58\/7?\nAnswer: 58\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6 = -4*h + f, 2*f = h. Let o be h\/(-1 + 1 - 5\/10). Let q = 8 + -5. Sort o, q, 2.\nAnswer: o, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 3:15 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 11406*u. Let y(d) = 5*d**2 + 92. Calculate y(b(o)).\nAnswer: 650484180*o**2 + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a = -15*a + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/5 - 246477*r**2\/5.\nAnswer: -r**2*(r + 246477)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1731122 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddddd. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 30028, 119995, 269948, 479887, 749812, 1079723, 1469620?\n\"Answer: 29993*x**2 - 12*x + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 f when three letters picked without replacement from oqoqoqeoeofffeoqeoo?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9075819\/4 or 2268955?\nAnswer: 9075819\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 5*k**2 + 2*k - 9. Let t be u(-4). Let z = t + 1. Solve -3*j + 6*j - 5*w - 22 = z, 2*w = 5*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17674\/3 + 2615809\/444. Find the common denominator of s and 31\/18.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3892*c**2 + 3904*c**2 + 3880*c**2 + 3886*c**2 - 15587*c**2.\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (4 + 2 + 1)) + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9810 or 75.08?\nAnswer: 9810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -5\/24*q**4 + 1\/60*q**5 - 2\/3*q**3 + 0 + 2*q**2 + 0*q. Does 7 divide m(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3064378979?\nAnswer: 17, 191, 943757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 109, -3\/5, -21.43, 20?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 48*a - 50*a - 8535, -4*f + 2*a + 34164 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1579 + -1568. Suppose 0 = 2*u - 3*s - 382, -u - 3*s = -2*u + 197. Calculate the remainder when u is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*x - 2, u - 2*x = -0*x - 3. Which is smaller: u or 4\/1071?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/5)\/(6\/(-30)). Let j(c) = -4*c - 2. What are the prime factors of j(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -222112 (base 3) to base 15\nAnswer: -32b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 138013 > 138014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3190*u - 2330*u + 3272*u. Let n(r) = 2*r. Calculate n(g(s)).\nAnswer: 8264*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -11. Suppose o = c*o - 74. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 727450273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 356 = -364. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*g + 19, 82*m + 52 = 86*m + 4*g. Solve 2*b = -m, 4*z - 180 = -2*b - 182 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -4\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9, -10, -27, -72, -157?\n\"Answer: -2*b**3 + 4*b**2 + b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3752 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 2.4347, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(300)*1 - sqrt(300))\/(sqrt(5) - sqrt(30)\/sqrt(96)))\/(4*sqrt(12)*-4 + -1*(3*sqrt(12) + sqrt(12))).\nAnswer: -sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -3 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11384, -11309, -11234, -11159, -11084, -11009?\nAnswer: -10934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1146 - 792. Round x to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - v + 34, -2*v + 7*v = -3*y + 38. Suppose 0 = -y*q - 22 + 58. Suppose u + 5*f + 21 = 0, -3*u = 4*f + 2 + q. Solve -u*i - i = -5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*h**4 - 34130*h**3*l**3 - 84*h*l**3 + 3315*h*l**2 - 2*h*l + 4*l wrt h?\nAnswer: 756*h**2 - 204780*h*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.32 or -0.003?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38.74 - 24.824. Let z = k - 14. Let d = z + -8.116. Round d to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103256*g - 103266*g = -307 + 87 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Suppose -3 = -y*p - 11. Put 2, -1, p in descending order.\nAnswer: 2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-216)\/(-20))\/(-9)*(-10)\/3. Find the second derivative of -2*k - 49 - 34*k**4 - 6*k**p - 46*k**4 wrt k.\nAnswer: -1032*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**2 - 2*x**2 + 12*x**4 + x**6 - 12*x**4 + 5. What is the second derivative of t(r) wrt r?\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11096689 divided by -11096689.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2823, 3, 0.3, -8, -1\/7, -708 in decreasing order.\nAnswer: 3, 0.3, -1\/7, -8, -708, -2823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*d + 7*d - 2*d - d as j + z*d and give z.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.83 and -14.\nAnswer: 11.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 4*q + 107. Let r be k(0). Suppose 0 = -9*p + 10 + r. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**2 + 22. Let g(n) be the second derivative of -n**4\/3 + 2*n. What is q(g(k))?\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-40)*((-55)\/(-4))\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -6*o + 90. Suppose 22 - o = -3*g. Are -21\/10 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 3*z**2 + 1 - z - 4 + 2. Let b(a) = -5*a**2 + 12*a - 16*a - 6 + 2*a**2. Determine b(t) - 4*q(t).\nAnswer: t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.807, 2\/7, -11308, -3\/10 in decreasing order.\nAnswer: 0.807, 2\/7, -3\/10, -11308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35657 and 181.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.06971 and 0.031.\nAnswer: 0.10071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160081 is divided by 53357?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2. Let d = 8 - 7. Let z = -0.5 + d. Which is the third biggest value? (a) 5 (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-3)*n**(-2)*n*(((n\/n**6*n)\/n)\/n*n*n*n*n)\/n*n*n*n*(((n*n**(-1\/2))\/n)\/n)\/n*n)**(1\/2))**2 assuming n is positive.\nAnswer: n**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -579 - -1270. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*a - i - 24, 12 = 4*i. Suppose -2*p - 10 = 3*p + 3*t, a = 2*p - 2*t. Solve p = r - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.78 and -5894.\nAnswer: -5893.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(6300) + -3) + (sqrt(6300) + (sqrt(6300) - (sqrt(6300) - (3*sqrt(6300) - sqrt(6300))*5)) - sqrt(6300) - sqrt(6300)))**2.\nAnswer: -1800*sqrt(7) + 630009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 4*v**2 + 6*v + 11. Let z be n(-5). Is -2*3\/z + 50 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 f, and 1 y when four letters picked without replacement from fkzkkfkyk?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 195 = 5*m, 2*n + m + 2064 = 2007 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2444105.\nAnswer: 5, 488821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.14459+-0.3\nAnswer: -0.15541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 - 24972*w - 1500720.\nAnswer: 2*(w - 37518)*(w + 60)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ov when two letters picked without replacement from goooggggogoovoggooo?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**4\/78 + 10*f**3\/39 - 16*f**2\/13 + 57*f. Solve n(i) = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - u**2 - 2*u**2 + (u**2 + 0*u**2 - 3*u**2)*((0 + 1 + 2)*(-2 + 0 + 1) - 4 + 2 - 33).\nAnswer: 73*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 1. Let z(q) = -5*q**3 + 2. Let n(k) = k**3 - 11*k**2 + 10*k + 117. Let f be n(8). Calculate f*z(a) + 10*m(a).\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -39. Suppose x - m = -2*x. Let h(n) = n**2 + 7*n + 4. Let g be h(-7). Solve g*r - x = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114588 and 2282211.\nAnswer: 27386532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -2, 9, 142, 3 in ascending order.\nAnswer: -2, 0, 3, 5, 9, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + sqrt(5)) - (2 + 2*sqrt(5))) + (-4*(2 + sqrt(80)))**2.\nAnswer: 258*sqrt(5) + 1338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -10. Suppose -3*a + 4 + o = 0. Suppose -a*s - 2*l = -18, -2*l - 3*l = 20. Solve 4*v = -2*h + 12, 28 = -4*h + 5*v - s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 13*o - 19. Let g be z(-8). What is the highest common divisor of 21 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c**2 + 426*c - 283. Give i(60).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(504) + (sqrt(504) + 4*sqrt(504) - sqrt(504)) + sqrt(504))*-3 - sqrt(504))\/(sqrt(88)\/(-2*sqrt(11))).\nAnswer: -456*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from vdvvvvdddvuvuuuvv?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*u = -0*u + 459021, 612035 = 4*z - 3*u. Let n = -83908 + z. What is n rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1508953 to the nearest integer?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27657, -27665, -27673?\nAnswer: -27681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + 17*s**3 + 138 + 6*s**3 - 119 + s**3 + 2*s**3 in the form a + x*s**2 + r*s + w*s**3 and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 + s**2 + 14*s**2.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3013.97 at least -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*h**3 - 1689*h**2*m + 5*h*m - 315*h - 2 wrt h.\nAnswer: -42*h - 3378*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 16 = -11*g. What are the prime factors of g\/(-4) + (-7)\/(21\/(-222))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 + 0*i + 0*i)*(-1 - 1 - 4)*((-3 + 3 - i)*(-4 + 1 + 2) + 0*i - 3*i + i) as d + o*i**3 + h*i + m*i**2 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9*h + 1. Let m(c) = -22*c + 2. Let r = -66 - -54. Give r*z(k) + 5*m(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*v - 653 - 1045, -v = 3*u - 1286. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0.006599425 * -0.4\nAnswer: -0.00263977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 9:45 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 681, 701, 731, 777, 845, 941, 1071, 1241?\nAnswer: 1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1301520 (base 9) to base 16.\nAnswer: ad46c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/15, 1, -1\/5, -6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38902 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/a**2*a*a*a**(2\/27) assuming a is positive.\nAnswer: a**(56\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fifszsxszf. Give prob of sequence szx.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven quarters of a tonne?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -318, -596, -1058, -1698, -2510, -3488, -4626?\n\"Answer: g**3 - 98*g**2 + 9*g - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*t**2 + 4*t**3 + 9*t**2)*(2*t - 3*t + 3*t) + (-11*t**3 + 3*t**3 - 9*t**3)*(6*t - 2*t - 2*t).\nAnswer: -26*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 181*y + 67. What is the units digit of n(22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 417 (base 8) to base 15\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 438 and 147?\nAnswer: 21462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t - 246. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/6*(7\/(-14) - -1). Solve 5*d + 5*r = a, 5 = 2*d - 7*r + 4*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-30)\/(-40) + (-8109)\/8388 and -149\/6.\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 - 118*n**2 - 6*n + 383. Let p be g(59). Solve 25 = 27*j - p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 5 = -o, 1022*r - 3*o = 1025*r - 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6009521?\nAnswer: 7, 858503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*p - 5*i = -20, p + 6 = 3*i. Let k be (-4 + 1)\/(-21)*p. Suppose 0*z + z = 5*v - 20, 5*z = -v + 4. Sort k, 0.4, v.\nAnswer: k, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 12. Suppose -r*l = -8*l + 48. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 21. Let r(i) = -i - 10. Let b(w) = 3*w + 20. Let j(l) = 4*b(l) + 9*r(l). Let s be j(c). Solve -u = -5*u + s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 2, o: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**4\/12 - 5*c**3\/9 + c**2\/2 + 3*c + 1. Factor t(u).\nAnswer: (u - 3)**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 + 85. What is the nearest to a in -3, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/10)\/(((-6)\/45)\/2). Suppose -4*r + p*r = 205. List the prime factors of r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/30514 and 5\/44.\nAnswer: 61028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2174 - 2269.57. Let y = t - -74.5. Let s = y - 0.43. What is s rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.718462 millilitres in litres?\nAnswer: 0.002718462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 12*w**3 - 5*w + 5. Let i(g) = -6*g**3 + 3*g - 2. What is -3*d(b) - 5*i(b)?\nAnswer: -6*b**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5181, 21646, 49391, 88416?\nAnswer: 138721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*i - 2 - 44*i + 152*i)*(i**2 + 0*i**2 + i**2)*(11*i - 6*i + 6*i).\nAnswer: 2794*i**4 - 44*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n**3 + 25*n**2 - 2*n + 2. Let j(s) = 28*s**3 - 74*s**2 + 6*s - 6. Give 4*j(l) + 13*w(l).\nAnswer: -5*l**3 + 29*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8775\/(-1875))\/117*(-5)\/2)\/((-2)\/(-125)).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -460124?\nAnswer: -460121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -266, -359, -452, -545, -638?\n\"Answer: -93*s - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418 and 532741?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -1\/7 (c) -14 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 times 6.579?\nAnswer: 605.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**9\/1008 - h**5\/40 - h**3\/3 + 4*h. Let k(b) be the second derivative of u(b). What is the second derivative of k(p) wrt p?\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 45 = -0*b. Suppose -4*u - b - 11 = 0. Let m(s) = -s**3 - 4*s**2 + 5*s + 7. What are the prime factors of m(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 4*h + 5*h)*(-625*h**2 + 625*h**2 - 21*h**3 - 2).\nAnswer: -63*h**4 - 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 50.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from ilkk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132232 (base 7) to base 2.\nAnswer: 110000011110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -2*v**3\/3 - 7*v**2\/2 - 61*v + 4. Let z(y) = -11*y - 20. Give -17*q(l) + 6*z(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25891\/6786 + 99\/26. Which is greater: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 34*x + 37*x + 4 = 0, -4*x = -2*t + 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(32) - sqrt(2) - (sqrt(4)\/sqrt(2) + 1).\nAnswer: -1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1034670586?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -6689.\nAnswer: -9\/6689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 14, -178, 326.\nAnswer: -178, -3, 2, 14, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 6 - 13) + 1 + 13 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 270047957?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 69 - 19 = 0. Let k = -13 - -24. What is the highest common divisor of y and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 402 and 222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38551\/10 - 3855. Which is the nearest to 0.2? (a) 3 (b) k (c) -117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -8*d - 7, 5*d - 605 = 4*i - 612 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 891, 7283, 24681, 58593, 114527?\nAnswer: 197991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 105, 203, 295, 381, 461, 535, 603?\n\"Answer: -3*n**2 + 107*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 57.96839.\nAnswer: 62.96839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*s - 117*s - 3024 = 0. Calculate the greatest common factor of 40 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17765 + -8471. Let w = v + -55631\/6. What is the common denominator of -2\/13 and w?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3)*x*x)**(-1)\/(x**(-2\/3)*x*x*(x**(-1)*x*x)\/x) assuming x is positive.\nAnswer: x**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 342 + -490. What is t rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 + 5 = 3*k, 2*j + 8 = 0. Suppose h = -k*h + 8. Let w be (-3 + -2)*(-2)\/(-5). Which is smaller: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 960 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7176760 by 472.\nAnswer: 15205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 340463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 h, and 1 q when three letters picked without replacement from {w: 1, h: 9, y: 3, q: 5}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.06 - -3.94. What is the closest to 1\/4 in 7, x, -0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -100000 and 18.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 3*l - 1 = 7 + 14, 0 = 6*m - 10*m - 14*l - 48 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.099 less than -5.9?\nAnswer: -5.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1190429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15867774.\nAnswer: 2, 3, 13, 19, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -51. Let a(x) = -6*x - m - 8 - 3*x**3 + 11. Let b(f) be the third derivative of -f**6\/40 - 5*f**4\/24 + f**2. Calculate 5*a(k) - 6*b(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -0.4, 5\/2, 6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396\/72*190\/209.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + p = -8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/9*30\/20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Let u = -2 + t. Let j = 88\/3 + -30. What is the closest to 1 in u, -1\/3, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 6, -1\/4, -8759.6, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**6\/1440 + o**5\/120 - o**4\/24 + 4*o**3\/3 + 13. Let i(t) be the third derivative of k(t). Factor i(z).\nAnswer: -(z - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -22*b + 17*b - 26*b + 7 - 15*b. Is t(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 10 = -v - 3*n, -3*v + 40 = 4*n. Suppose -3*w + 20 = -4*p, 4 + 8 = -4*p + w. Let m = p + v. What is the highest common factor of 9 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**5\/20 - 17*y**4\/24 + 5*y**3\/3 + 41*y**2. Let n be h(5). Solve -3*c + 9 = -n*o - 5*o, 0 = -3*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**3 + 16*t**2 + 2*t - 12. Let m(b) = b**3 + 5*b**2 + b - 4. Let c(y) = 2*h(y) - 7*m(y). Suppose -2*f = 2 - 4. Suppose 2 = w - f. Calculate c(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 3*q + 1. Suppose z + z = 38. Let s = z + -14. Let g(y) = -y. What is s*g(d) - r(d)?\nAnswer: -2*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138160 is divided by 79.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7463?\nAnswer: 17, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4032\/(-143136)*-2*((-1)\/(-2))\/(-1).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4588396*x - 5327169 wrt x?\nAnswer: 4588396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111100 + 11?\nAnswer: -1000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*d - 8, 5 - 41 = -4*d - 2*r. List the prime factors of 4 + (221 - -3*d\/(-12)).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = i + i. Suppose 0 = -5*k - j + 55, -5*k + 0 = 2*j - 50. Calculate the remainder when k is divided by ((-160)\/(-4))\/i - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -244 + 369. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 139 and 212809?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.108 (c) -0.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 13*n**3 - 2*n**2 + 4*n - 14. What is the remainder when d(3) is divided by 50?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1891, -7539, -16943, -30097, -46995, -67631, -91999?\nAnswer: -120093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/88*2)\/(129\/86*(-9)\/27)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7*r - 12 = 0. Suppose b + 4*b = 3*j + 18, -r*b + 14 = -5*j. Solve b*k = 5*m + 16, -3*k - 2*m = m + 24 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -0.5 (c) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5097 - 4413. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00489 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*v + 29, -5*r = -4*v + 534 - 507. Let y be 2*1 + (5 - 12). Sort y, 3, 2, v.\nAnswer: y, v, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3235220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 12 + 4 - 28 + 4*z + 8. Let s be k(3). Let j = 45 + s. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38230, -76456, -114684, -152914, -191146, -229380?\n\"Answer: -n**2 - 38223*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h - 1414 = 19*h. What is the derivative of -97 + 99 - 71 - h*p - 2*p wrt p?\nAnswer: -103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*w - 127856, -147*w = -v - 142*w + 31997. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 8*d**2 + 13*d + 9. Let g be l(-6). Suppose -4*z = -2*b - 3*z + 14, g*b = -4*z - 1. Solve b*j = 13 - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9838\/7 - -4208\/3. Calculate the common denominator of 1\/(99\/471) - 3 and o.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p + 10. Let o(f) = -7*f - 21. Let z be (-3)\/(3\/2)*(-48 - -50). What is z*o(x) - 9*a(x)?\nAnswer: x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - 5*y**2 + 7*y**2 + 4*y + (1 - 2*y - 1)*(0 - y + 0) + 0*y**2 + 14*y**2 - 3*y**2.\nAnswer: 15*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -639418, -1278667, -1917916, -2557165, -3196414?\n\"Answer: -639249*a - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -185 (base 11) to base 15\nAnswer: -e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9 - 12 = 0. Suppose 6*g - 31 + t = 0. Solve -3*w = 5*u - 3*u + 16, -g*w = -2*u - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (500\/(-75))\/(4\/(-1374)). Round u to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (40\/(-90))\/((-2)\/9). Suppose -4*m = h*s - 20, -5*s + 4*m + 2 = 8. Let n = 8 + -12. Sort 1, 0, s, n.\nAnswer: n, 0, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.4 (b) -573 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 13*p**2 + 16*p - 28. Let l be d(14). Suppose l = -5*w + b + 28, -w - 24 = -4*w + 3*b. What is the least common multiple of w and 39?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 317 + -316. Let n(g) = g. Let d(z) = -13*z - 2. Give o*d(l) + 2*n(l).\nAnswer: -11*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 4*t - 44, -55 = -35*c + 30*c - 3*t for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(7\/5)\/(p**(5\/6)\/p) assuming p is positive.\nAnswer: p**(47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.224 - -9.776. Put i, 1, 5\/2, -24 in descending order.\nAnswer: i, 5\/2, 1, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 823810 and 38870?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -477 - 4?\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12229*s*v**3 + 199*s*v**2 + 2*s*v + 468*v**4 + 259*v**2 wrt v.\nAnswer: -73374*s + 11232*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 + -0.36. Which is the biggest value? (a) 1 (b) -0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**5\/2 + 51*y**4 - 753*y**3\/2 - 1023*y**2 + 378*y + 972 = 0.\nAnswer: -2, -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 22*n**2 + 12*n + 10. What is q(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.033 + -2. What is o rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 5 (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 371106 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24, 15, 6?\n\"Answer: -9*x + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + s - 3*s + (-2 - 1 + 5)*(-2*s - 2 + 2))*(-64 + 64 + 8*s**3).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(3\/2)\/q)\/q**(1\/2)*(q\/(q\/q**(-1\/4)))**(-27) assuming q is positive.\nAnswer: q**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41125114 (base 7) to base 14.\nAnswer: -655c7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5808 * -45\nAnswer: -261360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*j + 30 = -162. Let n = -6 + 11. Solve f + 2 = -y + j, -5 = -n*y + 3*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -153.6 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*p**3 - 482*p + 482*p.\nAnswer: 189*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1618, 3085, 4548, 6007, 7462, 8913?\nAnswer: 10360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = -5*o + 213, 3*o = -3*u + 3387. Is 24 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 + 3*o - 2.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.4859036ns to days.\nAnswer: 0.000000000000121364625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -662*w**3 - 9929*w**2 + 10607*w - 16 = 0?\nAnswer: -16, 1\/662, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350\/15 - 1\/3?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 2396.\nAnswer: 2396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f**2 + 2*f - 2. Let r be z(-2). Let w = -33 + 34. Let y be w\/(-1) - (-1638)\/18. What is the greatest common divisor of r and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 3. Let w be s(-6). Suppose 4*j = -3*v + 10, -2*v - j - w*j + 12 = 0. Is 13 + v + (2 - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 14*m**2 + 14*m + 2. Give j(-15).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0252 - 0.0252273. What is o rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 10:22 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 5939122*k + 5939123*k - 15.\nAnswer: k + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*r + 18 = 368*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3 - 8\/3*l - 2\/3*l**2.\nAnswer: -2*(l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.1 (b) 1\/3 (c) -10\/13 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1654*z**3 + 58*z**2 - 10.\nAnswer: -9924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-5)*(-10)\/(-1). Suppose 0*n - y = -n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*f + 36 = 4*u - 44*f, -3*u + 27 = -f. Determine s, given that 12*s**2 - 40*s - s**2 - 4*s**2 - u*s**2 = 0.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9195)\/(-4904))\/((-2)\/(160\/(-2))).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9810983257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -1 (c) -2\/7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1064450531?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*q + 8. Let p = q + 3. Let k(y) = -1 - 3*y**2 + 1 + 4*y**p. Let d(h) = h. Give d(k(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - 2.94. Let o = f + 1.54. Which is the second biggest value? (a) -2 (b) 0 (c) 0.2 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**5*b\/((b*b*b**(-3)*b*b*b*b*b)\/b)*b*b**(2\/11)*b*b*((b**(1\/4)*b)\/b)\/b*b assuming b is positive.\nAnswer: b**(283\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-44))\/(1\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -828.87\nAnswer: -2486.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2110010212 (base 5) to base 11.\nAnswer: -2519573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 96 and -0.006.\nAnswer: 95.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24465\/(-55) + (-4)\/22. Let b = k + 431. Is b at least as big as -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**5\/60 + q**4\/24 + q**3\/6 - q**2 + 186. Let n(m) = 12 + 5*m**2 - m**2 + 12*m + 5*m**2. Calculate 36*a(o) - 3*n(o).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64.14, -5, 19\/5 in descending order.\nAnswer: 64.14, 19\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -49 + 43 + 11 + -2. Let l = -445.7 - -445. Sort -2\/19, w, l.\nAnswer: l, -2\/19, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000407 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*c + 14, 4*c - n - 7 = 6. Let b(d) = d + 1. Let a(z) = -3*z - 4 - 3*z + 1. Let x(o) = c*a(o) + 6*b(o). Let y(j) = 2*j**2. Calculate x(y(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 12.3. Let t = r + 2.1. Let w be (1\/5)\/(12\/15). Which is bigger: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1350?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y + 12*y**2 - 2*y - 53*y**2 in the form a + n*y + l*y**2 and give l.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z + 4. Suppose -z*x = -0*x. Let p = 4 - x. What is the least common multiple of 2 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 1350*c - 224297. What is f(-194)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 165 + -106. Let z(n) = -28*n**2 + 2*n - 30*n**2 + 2 + x*n**2. Let t(q) = -1 - 7 - 8*q - 3 - 4*q**2 + 2. Give 2*t(w) + 9*z(w).\nAnswer: w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/17 (b) -0.1 (c) 0.4 (d) 2213 (e) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23537?\nAnswer: 23537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*22\/(-550)*5\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - -317.2538.\nAnswer: 325.2538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/9 - 4295*p\/9 + 60718\/3.\nAnswer: -(p - 42)*(p + 4337)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8254*t. Let p(s) = -77*s**2 - 3. Give p(o(i)).\nAnswer: -5245895732*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/(-2))\/((-2)\/4). Suppose -14*m - 5240 = -34*m. Suppose -m = -n*u + 207. What are the prime factors of u?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2) + 1 + 14 + -18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**5\/60 - 11*f**2 + 11. Let h(v) be the second derivative of u(v). Let p(r) = r**2 + 13. Determine h(p(y)).\nAnswer: y**4 + 26*y**2 + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -2*r**2 + 3*r - 416. Calculate o(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/17)\/(s\/s**16))\/(s\/s**(2\/11))**(-32\/3) assuming s is positive.\nAnswer: s**(4470\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.165 * -31.\nAnswer: 5.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49804*c**3 + 4*c - 2900 wrt c?\nAnswer: -298824*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 538\/5649*((-168)\/4)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102295 and 21457.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-316*m - 746*m + 271*m + 1)*(2 - 2*m**3 + 6*m**2 - 2).\nAnswer: 1582*m**4 - 4748*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1480*j. Let i(y) = -11*y**2 - 6*y - 6. Let x(o) = -2*o**2 - o - 1. Let m(a) = i(a) - 6*x(a). What is m(b(n))?\nAnswer: 2190400*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2 = -v, 0 = -4*k + 2*v + 4. Suppose 2*t - 22 = -4*x, 28 = k*x + 3*t + 11. Solve -4*f - 2 - 1 = -5*n, -2*f = -x*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 - 148. Let z(d) = -7*d**2. Determine z(j(a)).\nAnswer: -63*a**4 + 6216*a**2 - 153328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2325*j**5 - 9*j**3 - 1841*j**2 + 25*j wrt j?\nAnswer: -139500*j**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 15. What is j(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30\/7 + 353\/84. Let f = -1.5 - 0.5. What is the nearest to f in -4, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 - 32*x**4 + 21*x**3 + 47*x**2 + 14*x.\nAnswer: x*(x - 7)*(x - 2)*(2*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/12)\/(-11)*3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75 * 88.\nAnswer: 6600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351470 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1001010?\nAnswer: 1001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.148 + 1.158. Let k = f + -1.1. Let o = 0.3018 - 2.3018. Which is bigger: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 20*g - 52. Let i be q(3). Let l(a) = -30 - i*a**2 + 7 + 11 + 2*a + 13. What is l(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.4 - -12.4. Which is the third biggest value? (a) 3 (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) - (-5)\/(-2). Is t\/(-3) + (-79)\/(-3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -16*r - 231. Give c(-12).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 21, 19, -6, 2\/21?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2829 is divided by 1325.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*d**2 - 2*d**2 - 12*d**2 as g + u*d + s*d**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -465271723?\nAnswer: -465271717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5035331.\nAnswer: 7, 719333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q + q**2 - 35 + 49 - 38. Let b be h(-10). Is b <= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 - 3*p\/4 - 1.\nAnswer: (p - 4)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 5*q**4\/4 + 35*q**3\/3 - 85*q**2\/2 + 45*q + 341. Suppose a(m) = 0. What is m?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7397 less than or equal to 7398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 3*j + 3*j + (3 - 3 + 2*j)*(-1 - 2 + 8))*(0 - 1 - 1).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*s + 295*s - 99 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12688 divided by 13.\nAnswer: -976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1047, -9309, -31807, -75657, -147975, -255877, -406479?\nAnswer: -606897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 272 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -123739, -494716, -1113019, -1978654, -3091627?\n\"Answer: -u**3 - 123657*u**2 + u - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10993 + -10967.964. Let b = a + -25. What is b rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h + 22 = -2. Let a(p) be the third derivative of 109*p**5\/30 + p**4\/12 + p**3\/6 - p**2. Is a(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 4*v + 17. Let a = 949 - 944. Let b be (-3*1)\/(((-60)\/(-32))\/a). Determine r(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*l + 3*l, -3*l - f - 14 = 0. Put 0.3, l, -3 in ascending order.\nAnswer: l, -3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14753.7164 - 115304971.2836. Let o = k + 115319852.999913. Let t = o - 128. What is t rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85158.\nAnswer: 2, 3, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -990, -935, -880, -825, -770?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 0*a**4 + 0*a**2 + a + 0*a**3 + 0*a**5 + 0 + 2\/15*a**6 + 1\/21*a**7. Factor q(u).\nAnswer: 2*u**4*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -277860*d**2*p*y + 3*d**2 - 2988*p*y + 28*p wrt d?\nAnswer: -555720*d*p*y + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 35*r**2 + 83*r + 35. Is 60 a factor of g(35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2349 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2809*d - 2 - 1404*d - 1406*d.\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 4:43 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21, 55, -1, -4.\nAnswer: -21, -4, -1, 3, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*k + 5994 - 747 = 5*k - 16*k for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -1. Suppose -3*d - b + 11 = 0, b - 1 = 4*d - g. Solve -d*n - n = -12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 437 - 424. Suppose 0 = c*f - 7*f - 246. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -21)\/(2905\/1162).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7202.65 - -7203. What is the fifth smallest value in 1\/6, k, 1\/5, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/22714517 or -1?\nAnswer: 3\/22714517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 + 16*o + 40. Let d be n(-3). Suppose d*y - 1117 = 1372. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 369 - 59. Let y = -35 - j. Let g(m) = 6*m**2 + m - 10. Let c be g(-5). What is the greatest common divisor of y and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 - -62. Let a be (-4)\/3*(2 + -5). What is the second derivative of 2 - 3 - w*s + 1 - 3*s**a wrt s?\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 521004013*s**5 + 16*s**2 - 287*s - 736 wrt s.\nAnswer: 31260240780*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010938214 rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1873644315 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/(-2))\/2)\/(((-5)\/1)\/60)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 61812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 34*h - 37*h - 18388, 5*h + 5 = 0. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5232.45727 and 25.\nAnswer: -5207.45727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9483\/5 - 9966658\/5255. Is b >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d. Let x(u) = -u**2 - 7*u + 3. Let f be x(-7). Let c(b) be the second derivative of 1\/12*b**4 + 2*b + 0*b**f + 0 + 0*b**2. Give c(w(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-264)\/357 + (-294)\/(-343)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 6*i - 28. Suppose -2*l = 3*y + 13, -4*l - 59 = -123*y + 118*y. Calculate z(l).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 218 + -116. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**2 + 1375*n - 1370 = 0 for n.\nAnswer: 1, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18652717 divided by -5.\nAnswer: -18652717\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4163.\nAnswer: 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5793.635 centuries in months?\nAnswer: 6952362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 5. Suppose 4*s - 4*o + 8 = -0*o, -3*o + 4 = -4*s. Let v = 77 + -309\/4. Which is the third smallest value? (a) q (b) s (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 11:48 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*r**3 + 415673*r - 8*r**2 - 415673*r - 5*r**4 + 1 as a + p*r**3 + j*r**2 + t*r**4 + q*r and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, z: 1, x: 1, g: 1, o: 1}. What is prob of picking 1 l and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 10*s - 8. Determine i(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2832.82 rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 55*q**2 - q + 4. Let w(u) = 1. Let h(d) = -6*w(d) + z(d). Let f be h(2). Calculate the highest common divisor of f and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 447*c + 112*c - 916*c in the form m + s*c and give s.\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u = 15*u - 105 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 305.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/4 (b) 63 (c) 3\/2 (d) 0 (e) 27285 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/40)\/(6\/(-360)*-10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d + 98. Let q be b(24). Let u(s) = 0*s + 155*s**2 - 153*s**q + 0*s. Let h(c) be the first derivative of -c**2\/2 - 31*c - 3. Determine h(u(t)).\nAnswer: -2*t**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {w: 2, t: 1, o: 8, j: 2, f: 5}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*y = 126*y + 25920000. Round y to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 30 = 6. Let s be (6\/4)\/(f\/(-4) - -2). Suppose -3*i - v - 35 = -2*v, 0 = 5*i + 2*v + 40. Sort s, 1, i in descending order.\nAnswer: s, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 0 + 2 - 0. Let w be (-38)\/(-9) - (-2)\/(-9). Suppose 0*z = -2*z + 4. Solve -z = -w*o + u*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1030 + 3839. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5794810.\nAnswer: 2, 5, 7, 19, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 10*q**2 + 33 - 23*q**2 + 11*q**2 - 10*q - 66 + 30. Determine n(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k + 12. Let r(j) = j**3 - 60*j**2 + 877*j + 250. Let p be r(34). Sort -1, p, k, -3.\nAnswer: -3, -1, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-1)\/(-4)*26. Suppose -142 = -4*h + 2*j, h - 21 = 2*j + m. Let a = -9 + h. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(0 - 1\/2). Is (85 - 0\/(-1))*o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50366106\/13 or -3874316?\nAnswer: -3874316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*r - 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/786064 and -133\/5256.\nAnswer: 7074576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2562, 5121, 7676, 10227, 12774, 15317, 17856?\n\"Answer: -2*b**2 + 2565*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/(-169) - 100\/(-26). Solve 0 = -2*k - 7*t + 4*t - y, -4*k + 4*t = 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*((-10)\/16)\/(150\/(-120))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Let b(r) = -r - 1. Let z(j) = -2*b(j) + f(j). Let g be z(3). Suppose -5*t - 5*m + 47 = -13, -g*t + 10 = -5*m. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/262 (b) 18 (c) -2\/17 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 230*r - 3. Let k be g(-2). Let c = 823 + k. Suppose 4*h - c = h. Calculate the greatest common divisor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h + 2 - 3*h + 3*h + 2*h + h**2. What is b(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**5 + 64*k**4 - 562*k**3 - 624*k**2 = 0.\nAnswer: -39, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 91017370 to the power of 1\/2, to the nearest integer?\nAnswer: 9540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/3 - (-4)\/(-12))\/(95\/(-190)). Suppose -d - 11 = -2*d. What is the first derivative of d*m**2 + 7*m**r - 33 + 2*m**2 wrt m?\nAnswer: 40*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.46481 to 1 dp.\nAnswer: 17.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 220 - -121. Suppose 0 = 5*p + 2*g - 297, 46*g + 96 = 2*p + 43*g. What is the remainder when h is divided by p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -3151905 (c) -0.064\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.2, -0.08, -8?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 1670.\nAnswer: 10020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t - 2. Let w(u) = -9*u + 8. Let g(x) = -x + 1. Let o(m) = 6*g(m) - w(m). What is -4*j(y) + 5*o(y)?\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 311620*f**2 + 311620*f**2 - 1 + 41*f**3.\nAnswer: 41*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 + -45. Let r = -62 - -103. Suppose 0 = 5*z + 25, -z = -2*l - 0*z + r. What is the highest common divisor of t and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 2)**2*-4 + 4 + (sqrt(72)\/sqrt(2)*-5)\/(2*sqrt(588)) + -4.\nAnswer: -448 - 1349*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j**2 - 139353*j - 139359*j + 278712*j.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y - 8*y**2 - 9*y**2 + 6 + 18*y**2 + 7. Let a(m) = m + 4. What is -7*a(q) + 2*h(q)?\nAnswer: 2*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (241 - 274) + -2 + 18 - -78?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15798 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -10\/3. Let i = 27.1 + -27. Put r, i, 0.4 in increasing order.\nAnswer: i, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 1. Let k be (r\/3)\/((-5)\/885). Suppose 2*b + 44 = 3*v - 0*b, 4*v = 3*b + k. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1366943 - 0.73272?\nAnswer: -1366943.73272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 4*o**2 - 5*o + 5. Let f be 4*(5\/(-4))\/(-1). Let s be y(f). Solve 0*j + s*w + 8 = 2*j, 4*j + 5*w - 16 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10409\/4 - -2588. Calculate the common denominator of -35\/4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**4\/2 + 3*k**3 + 13*k**2\/2 + 6*k + 2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**4 + 4*w**3 + 17*w. Let t(g) = -4*g**4 - 3*g**3 - 16*g. Let f(l) = 4*t(l) + 3*z(l). What is the second derivative of f(y) wrt y?\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.82330511 to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) 0.094 (c) 1 (d) 3\/4 (e) 0.5 (f) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83403178?\nAnswer: 2, 3461, 12049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 3. Let k be i(-6). Let a be 9 - (-5 + 0 + 9). What is the third derivative of -8*u**5 - u**5 + k*u**a + u**5 - 2*u**2 wrt u?\nAnswer: -300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13d55754 - 1?\nAnswer: -13d55755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/1*10\/(-6). Let v be ((-18)\/5)\/(a\/50). Suppose -v*s = -6*s - 90. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhfhfhhhhfhhhhh. What is prob of picking 2 h?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 3*p = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 13851?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 5*n + 9, n = -2*t - 0*n + 1. Suppose t*p + 0 = 6. Suppose 11 = -p*x + 242. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(882))\/((sqrt(81) - (sqrt(81) + -2*sqrt(81))*-6)\/sqrt(9)).\nAnswer: -42*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ab - 2b?\nAnswer: -d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 10 = -5*g, 5*t + g - 43 - 7 = 0. Suppose -2*m - 2*l - 30 + t = 0, 4*m + 44 = -2*l. Let i(j) = -11*j + 18. What is the tens digit of i(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -569398 - -234648. What is q rounded to the nearest 1000?\nAnswer: -335000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1020 is divided by 88?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*c - 34, 4*n - 2*n + 4*c - 34 = 0. Let g = -10 + n. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000013432 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**4 - 9564*b**3 + 654351*b**2 + 1337406*b + 673488 = 0?\nAnswer: -1, 72, 3118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 4. What is s(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/6)*((w**(1\/6)*w)\/w)\/w)**(3\/19))**(-50) assuming w is positive.\nAnswer: w**(150\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88 + (58 - 153) + -43 + -2.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38998192.861811 - -0.3.\nAnswer: 38998193.161811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11706, 19 in decreasing order.\nAnswer: 19, 2, -11706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b - 8. Let l = b - 7. Is 4*(l - (-153)\/12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 45409*d + 11079799. What is g(-244)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 + 2. Let b = -112 + 117. Let s(q) = -4*q**3 - 3. Determine b*o(k) + 2*s(k).\nAnswer: 2*k**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-3)*9\/4. Let d be ((-4)\/n)\/((-14)\/(-6)). Let h = 62.3 - 62. What is the closest to 0 in d, h, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25905 - 212?\nAnswer: 25693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41160 (base 15) to base 2.\nAnswer: 110010010101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3 + 30*n**2 + 26 + 20 - 36 - 12*n. Is g(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011000 (base 3) to base 13\nAnswer: 4c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 783.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) 2954\/11 (c) -0.2 (d) 0.5 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h - 7. Let f(j) = -3*j + 7. Let b(m) = 3*f(m) + 2*y(m). Does 3 divide b(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2\/24)*(-1308)\/127312*511?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64799691.\nAnswer: 3, 11, 37, 73, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 43, 47, 33, -5, -73?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0.5, -0.4, 42\/5, -4, -3\/2 in descending order.\nAnswer: 42\/5, 0.5, 3\/7, -0.4, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**6\/6 - 5*m**5\/4 + 265*m**4\/6 - 700*m**3\/3 + 671*m. Determine a, given that j(a) = 0.\nAnswer: -14, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11905200 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*c - 4169 = -0*k, -4*c = 3*k - 12587. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -5. Let u = -0.2 - -0.1. Let p = 471\/7 + -67. Which is the closest to u? (a) f (b) p (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - -12 - (-13)\/13. Solve -2*h = 17 - t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 12*h**3 + 97*h**2 + 12*h + 35. Calculate the least common multiple of z(-8) and 260.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -53*h**3 - 4*h**2 + 5*h + 4. Let z(a) = -a**3 - a**2 + a + 1. Determine -n(v) + 4*z(v).\nAnswer: 49*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*((-8)\/(-16) - (-1 + 2)). Suppose 2*h - 444 + 18 = d. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103200 (base 4) in base 2?\nAnswer: -10011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -9. Suppose 49 = 5*q - 2*c - 52, -2*q + 3*c + h = 0. Suppose 4*y = -0*l - l + q, -41 = -4*y - 5*l. Solve -y = d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 - g**5 + 2*g**3 + g**5 + g**5 - g**5 - g**5 + (-6*g**5 + 0*g**5 + 3*g**5)*(-1 - 1 - 1).\nAnswer: 10*g**5 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 13) in base 11?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3\/4 + 37775*l**2\/4 - 359535243*l\/4 + 52735416381\/4 = 0.\nAnswer: 149, 18813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 1992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 580885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1127 + 1123. Which is the nearest to -0.1? (a) h (b) 2.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 114 + 9\/2*t**6 + 0*t**5 + 0*t + 0*t**4 - 4*t**2 - 1\/3*t**3. Find the second derivative of r(p) wrt p.\nAnswer: 540*p**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 792715, 1585445, 2378205, 3171013, 3963887, 4756845, 5549905, 6343085?\n\"Answer: 3*y**3 - 3*y**2 + 792718*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 - -2)\/(-2) - -8) + (47838\/(-112))\/51?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9718 + 9721. Let t(j) be the third derivative of 0*j**l + 0*j + 0*j**4 - 3\/40*j**6 - 11*j**2 + 0 - 3\/10*j**5. Find the third derivative of t(q) wrt q.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 19*m - 3863*m**2 + 3860*m**2 + 53*m.\nAnswer: -3*m**2 + 73*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 13. Let i be s*5\/10 + 3. Let p = 1.16 + -0.66. What is the biggest value in -0.02, 3, i, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-17))\/(-2) + 28\/(-238)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -299*m**3 + 14*m**2 + 7*m + 1587. Let h(u) = -u**3 - 2*u**2 - u - 2. Let d(s) = f(s) + 7*h(s). What is the derivative of d(p) wrt p?\nAnswer: -918*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -4 (c) 3 (d) 270\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-12)*(q*q**(1\/4)\/q)\/q*q*((q**(-1)*q)\/q)**(-5\/3) assuming q is positive.\nAnswer: q**(-121\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - a + 2. Let o be w(-2). Let l(k) = 4 - k**2 + o*k**2 - 2*k + k. Let n be l(0). Solve -3*p + n = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((2*sqrt(231)*5)\/((sqrt(44) + sqrt(176))\/sqrt(4)))\/(2*(sqrt(432)*1 + sqrt(3) + sqrt(480)\/sqrt(10))).\nAnswer: -1 + 5*sqrt(7)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05077, 2.32, -4, 1\/4 in descending order.\nAnswer: 2.32, 1\/4, -0.05077, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1315464163829 and 2.\nAnswer: -1315464163827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 117188\/(-36) + 3 + (-4)\/(-18). Let z be -1 - -3 - (-3 - (g + -6)). Let n = z + 11353. Round n to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3160 + 9466\/3. Sort 1\/2, 0.3, 0.1, w in ascending order.\nAnswer: w, 0.1, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 17 + 2 = 0, 0 = -2*q + 4*a - 10110. Calculate the common denominator of -8 + (q\/(-434) - 3) and 29\/8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*l**4*n**2 - l**4 + 5*l**3*n**2 - l**2*n**2 - 47*n**2 wrt l?\nAnswer: 288*l*n**2 - 24*l + 30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33117041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380652.\nAnswer: 2, 3, 31721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f**2*t**2*y - 2*f**2 + 540103*f*t**2*y**3 - 8446*t*y**3 + t*y**2 wrt t.\nAnswer: -12*f**2*y + 1080206*f*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5 - 7. Let d be ((-6)\/9)\/((-2)\/15). Suppose -d*r + 38 = -s. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -39. Suppose -9*p + 170 = p. Let b = v + p. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1447848880 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**3*l**3 - 3*k**3*l + 2*k**3 - k*l**2 + 5513*l**3 - 8*l**2 + 479 wrt l.\nAnswer: 12*k**3*l - 2*k + 33078*l - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 d when three letters picked without replacement from hdidgnddd?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 405341525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 0 - (-4 - (3 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4\/7 - 6*a**3\/7 - 12*a**2\/7 + 16*a\/7 = 0.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**6\/120 + 3*w**5\/5 + 67*w**4\/24 - 29*w**3\/6 + 222*w**2 - 1. Give q(-34).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 358355*w - 45*w**3 - 358355*w + 20 - 3*w**2 in the form d*w**3 + n + k*w**2 + q*w and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -133 - -225.6. Is b < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 47*k**2 + 2*k - 2. Does 26 divide z(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 58429*n. Let f(y) = 54*y - 62. What is k(f(x))?\nAnswer: 3155166*x - 3622598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12784 is divided by 81?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20630, -20627, -20624, -20621?\nAnswer: -20618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0*v - v)*(-39 + 29 - 14).\nAnswer: 48*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - q - 3*q)*(232*q**2 - 185*q + 185*q) to f*q**3 + s*q + h*q**2 + u and give f.\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59943 is divided by 127?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00146 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in centuries?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a + 3*j - 23 = 0, -3*a + 3*j = 33. Let l be a\/(-2) - (-7596)\/4056. Let g = -3\/1352 - l. Find the common denominator of -89\/2 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -2*y**3\/3 + 3*y. Let g = 5 + -4. Let t(m) = m - 1 + g. Give t(h(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/30*15\/10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/99293 and 40\/5673?\nAnswer: 18170619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 40 = 5*g, 5*g + r - 15 - 7 = 0. Solve -g*k + 10 = -9*m + 4*m, -2*m + 5*k - 1 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2791 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -476*o**5*x + 23*o**3*x - 13*o**2 + 832*o*x - 2*x wrt o?\nAnswer: -28560*o**2*x + 138*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h - 10 + 17 - 7*h - 6 in the form f + v*h and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1975*k + 1962*k + 1148262 - 1148262.\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 534 (base 9) to base 5\nAnswer: 3221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 11*w - 5. Let z = 4 + 1. Suppose 5*s - 4*d = -30, s + z*d + 45 = -s. Let y be i(s). Solve -13 = 4*c + 5*n - 2, -y*n - 18 = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjppjjpnjfnyjpj. Give prob of sequence nng.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2. Let m(f) = 3645*f + 11. Give m(q(n)).\nAnswer: 3645*n**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1925460 and 42.\nAnswer: 13478220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*a + 105, 4*s - 6*a = -a - 398. Is -97 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**7\/504 + j**4\/4 + j**3 - j - 28. Let d(b) be the third derivative of i(b). Let z(n) = n**2. Calculate d(z(a)).\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 16274891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/792 and 41\/63?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**4 - 4*s - 4*s**4 + 2*s**2 + s**3 + 5*s in the form z*s**2 + j*s**3 + n*s**4 + r + v*s and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475, 989, 1573, 2263, 3095, 4105, 5329?\nAnswer: 6803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 + 7*m**2 + 3*m - 1. Calculate g(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38267551 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/4 of a kilogram in grams?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1075250 is divided by 2350.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1 - 2) + (2 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7167852?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141013151 and 365?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1146 - 11186 = -4*z + 4*c, -3*c - 5020 = -2*z. What are the prime factors of z?\nAnswer: 2, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 13*a**3 + 8*a**2 - 16*a + 6. Let w(b) = -b**3 + b**2 - b + 1. Let q(n) = c(n) - 5*w(n). What is the remainder when q(2) is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010198 rounded to four decimal places?\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7467872 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/1 - (4207742\/924)\/(-307). Factor -1\/6*g**2 - u*g + 3.\nAnswer: -(g - 1)*(g + 18)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*b - 2*d + 27, 4*b - 5*d - 35 = 0. Suppose 3*k - b - 14 = 0. Let c(w) = -w**3 + 9*w**2 - 5*w - 5. What is the units digit of c(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -f + 7*w - 13*w - 75, 8*f + 3*w = -571 for f.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 34*f + 941. Let c be d(-52). Suppose -4*r + 0*r + 56 = 0. Suppose c*p = r + 11. Solve p*h = 2*h + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**4\/24 + 5*o**3\/6 + 27*o**2. Let j be q(-1). Suppose -3*h - j*n + 35 = -174, -2*h - 2*n = -142. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**6\/2 - 5*x**4\/12 + 77*x**2 - 139*x. What is the first derivative of r(f) wrt f?\nAnswer: 60*f**3 - 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*w + 65*w - 5 = -5*z, 15 = 5*z. Sort 6\/7, -0.2, -1, w in increasing order.\nAnswer: w, -1, -0.2, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*o)*(o + 1 - 1) + (-2 + o - o - o)*(17*o - 8*o + 20*o) - 2*o**2 + 2*o**2 - o**2.\nAnswer: -32*o**2 - 58*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 33*h - 62. Let z be b(-5). Let o = z - -230. Solve 20 = -l - o*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 608*s**2 + 95. Let m(d) = -3 - d + d + 21308*d**2 - 21327*d**2. Calculate -190*m(l) - 6*q(l).\nAnswer: -38*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 133*u**2 + 305*u + 16. What are the prime factors of z(17)?\nAnswer: 2, 3, 7, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.841 rounded to zero dps?\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*i + 20*i - 7*i)*(14*i**2 - 11 + 11)*(i - i + i**2).\nAnswer: 350*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -105, -153, -201, -249, -297?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 d when four letters picked without replacement from {l: 1, d: 6, w: 3, y: 3, a: 1, c: 6}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 271\/(-28184) - 25380\/(-416)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 599, 0, -4 in descending order.\nAnswer: 599, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4783 (base 12) to base 2.\nAnswer: 1111101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 726 divide 4924458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*d = -0*m - 15400, -11550 = -3*m - 5*d. What is m rounded to the nearest one hundred?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g**3 + 317*g**2 + 1960*g + 3536 = 0. What is g?\nAnswer: -221\/12, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 - 43 = 3*t. Suppose -l = -z + 63, 2*z + 5*l - 46 = t. Calculate the highest common divisor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2. Let l(w) = 6*w - 7. What is j(l(q))?\nAnswer: 36*q**2 - 84*q + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 - -368555?\nAnswer: 368555.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 717445754 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4807838 and 77350.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 4)*(656 + 103*d - 656)*(0*d**3 - d**3 - d + 3*d**3) in the form n*d**4 + c*d**3 + m + r*d**2 + a*d and give n.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-468)\/(-126) - (-4)\/14. Put x, 2, -4 in decreasing order.\nAnswer: x, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9691a5 (base 16) to base 12\nAnswer: 337a571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 203 and 3150328?\nAnswer: 22052296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*c = -972*c - 2265 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m**5 - 71*m**4 - 12*m**2 + 5*m - 2. Let u(n) = -n**5 - n**4 - 2*n**2 + n. Let o(j) = f(j) - 6*u(j). What is the second derivative of o(l) wrt l?\nAnswer: -60*l**3 - 780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4)*((-75)\/(-651) + 53\/371)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 21765590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61 or 249\/4?\nAnswer: 249\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4*-9417.1426\nAnswer: -37668.5704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) - (-32)\/63. Let t be (3\/5)\/3*-4. Let q = -223 - -228. What is the closest to w in 1\/2, t, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1905442 and 1694?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-24 - -19 - (-5 - 0) - -15)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 94 + 4?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21, -57, -91, -117, -129, -121?\n\"Answer: q**3 - 5*q**2 - 28*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2662)*6*6)\/(-2*sqrt(300)\/(2*sqrt(6))).\nAnswer: 396*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 5*d - 3 = -4, -f + 1 = 4*d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 115023462 and 20298258.\nAnswer: 345070386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 352 - 339. Which is smaller: y or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**2 + 20228*c - 762888 = 0.\nAnswer: 38, 5019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35154 is divided by 187.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20725 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.71 - 10.71. Let l be 2\/(-5)*(-15)\/(-21). Let f = l + 13\/21. Which is the closest to f? (a) w (b) -3\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -18, -14, -10, -6, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.6 - -8.4. Which is the biggest value? (a) 0.05 (b) 7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00821137594 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49.8 + 44.8. What is the biggest value in -4, h, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(168) - (sqrt(168) + sqrt(168)*-2)) + sqrt(168) - sqrt(168))\/sqrt(3) + sqrt(56))\/(sqrt(1152) - 2*sqrt(1152) - sqrt(8)).\nAnswer: -3 - 3*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 0. Calculate the remainder when (-246)\/(-10) - 14\/(-35) is divided by ((-9)\/y)\/(11\/(-44)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 76 = -5*t + 3*l, -5*t + 2*l = 171. Let v(w) = 6*w + 6. Let b be v(-4). Let u = b - t. Solve 15 = -5*m + 5*i, -u = -0*m + 4*m + i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 907521 (base 15) to base 7.\nAnswer: 112205353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 + -64. Let t = 4.2 + z. Let i = t - 6.5. What is i rounded to one decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*r - 32*r + 41*r to o + m*r and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1376 - 3119 - 6293 + 1432 - 4545)*(-4*t**3 + 5*t**3 + 3*t**3) as q*t + h*t**3 + a + u*t**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -301*a**4 + 359*a - 2462*a**4 + 8244 - 4117 - 4127 wrt a.\nAnswer: -33156*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -295049966, -295049967, -295049968, -295049969?\n\"Answer: -j - 295049965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.175536+0.479\nAnswer: 2.654536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - -201?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (76\/(-304))\/(1\/((-27)\/(-2))). Which is bigger: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2. Let i(w) = 1358210*w - 31. Give i(n(f)).\nAnswer: 2716420*f**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 not equal to -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28124 - 28124 + 39*w)*(-87 + 15*w + 87) to the form x + y*w**2 + h*w and give y.\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.1057 take away -11?\nAnswer: 10.8943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -103510 and 4.\nAnswer: -414040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 726.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 + 770 = 3*c + 61*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/12456600 and 167\/4982640.\nAnswer: 24913200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-110 + -1)*(-9 + 8). Suppose -c = -0*v - 2*v + u, -c = -4*v + 227. What is the greatest common factor of v and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -60 (b) 0 (c) -3\/7 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*u - 3486088 + 961452 - 1762339 = 0. List the prime factors of u.\nAnswer: 11, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*sqrt(1400) + sqrt(1400) - (sqrt(1694) - (sqrt(1694) - sqrt(1694)*2)))\/((sqrt(70) + -6*(sqrt(70) + 2*sqrt(70)))\/sqrt(10)))**2.\nAnswer: 12288\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -12. Let k(f) = 146*f**2 - f. Let d be k(n). Calculate the common denominator of (5\/((-30)\/d))\/3 and -10\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c5082 - -151?\nAnswer: -2c4d31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 - 208?\nAnswer: -19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0*j + 3*j)*(2*j**2 - j**2 - 2*j**2) - 3*j + 5*j + 0*j**3 - j**3.\nAnswer: -6*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.81991 to two dps.\nAnswer: 17.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, -5, -42, -91, -152, -225?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-168300)\/(-357) - 4\/(-7).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 644250.3ml to litres.\nAnswer: 644.2503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 5*f**8\/336 - f**7\/14 - 23*f**6\/24 - 11*f**5\/4 - 35*f**4\/12 + f**2 + 5041*f. Factor o(p).\nAnswer: 5*p*(p - 7)*(p + 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, g: 12}. What is prob of picking 2 g and 1 x?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**4)**(-2\/15)\/((j*j*j**(-5\/4)*j)\/(j**(10\/7)\/j)))**(-50) assuming j is positive.\nAnswer: j**(4175\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a**3*n - 1841*a**3*s + 2*a**3 - 2*a*n*s - 3*a*n + s with respect to n.\nAnswer: 4*a**3 - 2*a*s - 3*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 5*x + 5. What is t(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 3*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 372 (b) 1\/2 (c) -0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -8. Suppose 0 = q + q + j*o - 26, -q = -o + 2. Solve 3*f - q*s = -3, -4 = 2*s + 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 - 6*i - 6. Let o be b(6). Suppose 3*r = o + 30. Suppose r = 3*w + w. Solve 0*x - 3*k - 1 = x, -w*x + k = 21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*f + 74 = -2*u, 0 = 2*u - 3*f - 109. Let h = u - 55. Solve -h*w = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -514.74 take away 52.223?\nAnswer: -566.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - (2 + -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 124, 5.\nAnswer: 3, 5, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/2555610 and 51\/22.\nAnswer: 28111710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -5 (b) -2 (c) 3.5 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.4, 0.858, -2, 54, -1\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 940264829.\nAnswer: 7, 134323547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 38 = 3*f, 5*f + 4*c - 1 = 4*f. Let o(v) = 5*v**2 + v. Let n be o(1). Let y be 1\/n - f\/18. What is the second biggest value in 0.5, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q. Let k be s(5). Suppose k*y + 92 = y. Let t = -19 - y. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 42 = -6*u, 409*h - 405*h - 241 = 3*u - 272 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23554 to 2 decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54925*r + 2433 + 16867 = -54732*r for r.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3 - 53796*g**2 + 3*g + 8108 wrt g.\nAnswer: -12*g - 107592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -291 + 569. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -4. Let d be (15\/x)\/5*-2. Find the first derivative of -2*q**3 + q**3 - 2 + 1 + d wrt q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v - 14 = -19*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.15 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -619000 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 120*y**3 - 455*y**2 + 380*y + 100 = 0. Calculate y.\nAnswer: -5\/24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 6*q + 9. Let c be 4*(-1 + 18\/8). Let a be 11 + ((-12)\/2 - -7)*-3. Suppose x = c*d - 37, x + 24 - a = 2*d. Calculate y(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45.9999978 + -46. What is v rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(3500\/224)*(-285)\/12.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 4 (b) -10 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 9\/122 (b) 1 (c) 0 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102102 (base 4) to base 11.\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0\/(k*k**(-1\/5)))\/(k**(1\/2)*k*k**(-3\/4)*k) assuming k is positive.\nAnswer: k**(-51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 10:22 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3*p + 14. Suppose -2*g = -7*v + 2*v - p, -2*g = 3*v + 1. Let h(a) = -430*a. Let i be h(g). Round i to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r. Let h(l) = 7*l. Give -2*h(o) + 9*n(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from {y: 4, h: 2, p: 1, g: 4, o: 1, t: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -10*c - 459. What is a(-48)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 157, 224, 275, 304, 305, 272, 199?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = -2*w. Suppose 0 = 3*f - w - 6. Solve f*a + 4 = 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7761 + -4832. Suppose -6*p - m - 1355 = 0. Let g = -503 - p. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -78\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-121)\/(-66) - 2\/(-12). Determine l, given that -9*l**3 + 39*l**2 - 138*l**i + 1664 + 1089*l - 5657 + 12*l**3 = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 30*n**2 - 55*n + 30.\nAnswer: -5*(n - 3)*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 5*a - 5, -29*h - 5*a - 15 = -26*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22493453?\nAnswer: 22493453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21\/(-49) + 7\/((-294)\/13626)*-1 and 324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (4 - -2)) + (13 - (-59 - -74 - 31)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 35506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-3)*483\/14. Let q = -3388585\/36894 + 1\/2838. Let n = q - b. Put 0.3, n, 0.4 in descending order.\nAnswer: 0.4, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j. Let f be (-3)\/((-36)\/(-21)) + 2. Let u(v) be the second derivative of 0*v**3 + 8*v + f*v**4 + 0*v**2 + 0. Calculate u(d(y)).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from gpnnouo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 33*h - 6 - 2 + 3 + 0. Let z be 3 + (-210)\/66 - 13\/(-11). List the prime factors of n(z).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -910, -7050, -23736, -56248, -109866?\n\"Answer: -880*g**3 + 7*g**2 - g - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 691840 divided by 920.\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10*h - 17. Calculate the remainder when 19 is divided by s(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -143\/9 - -7559\/495. Calculate the common denominator of 57\/10 and p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -3. Let c = -1.1 + r. Suppose n + 3 = -b, 4*b - 2*b - 3*n - 4 = 0. What is the closest to b in 1\/4, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 2*d**2 + 76 + 19*d + 54*d**3 - 158 + d**2.\nAnswer: 54*d**3 - d**2 + 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 68. What is v(12)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -787 at most 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 4*h**2 + 7*h + 6. Let o be n(-5). Let k(s) = -9*s + 4. Let v(l) = 260*l - 117. Let p(d) = o*v(d) - 117*k(d). What is the units digit of p(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 15 - 65 - v.\nAnswer: -v - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -2, 0.4, 9, 5, 4, -230?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Sort 9545, 0, 11 in ascending order.\nAnswer: 0, 11, 9545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftfttfttfftttt. Give prob of picking 2 t.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2\/5 + 332*j\/5 - 2720 = 0. Calculate j.\nAnswer: -200, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -496*a**3*j**3 + 5*a**3 - 4*a**2*j**4 + 2*a**2*j**2 - 177*a**2 - a wrt j?\nAnswer: -2976*a**3 - 96*a**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 11121791?\nAnswer: 44487164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -14*u**3 + 2*u**2 + 3*u + 2. Determine m(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*t + 3*t - 3 = 0, 8 = 4*u - 4*t. Let b = -238.3 + 238. What is the closest to -0.1 in b, 3, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -600617*q - 39421*q**2 + 39424*q**2 + 600617*q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -1237*r - 9895. Let d be j(-8). Calculate the highest common divisor of d and 67.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 7\/15, -7, 1, 0, -60?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -1, 13, 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - w**2 + 2*w. Let c(v) be the second derivative of 13*v**5\/20 - v**4\/4 + 7*v**3\/6 - v**2\/2 - 54*v. Let y(d) = -c(d) + 3*s(d). What is y(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*z = -27, s - 3*z + 7 = -2. Let r be (-4)\/6 - (-4)\/s. Suppose -l + 2*l = -4*j + 161, r = 5*j - 3*l - 180. What are the prime factors of j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(4)*-6)\/sqrt(9) + 3)**2 + sqrt(100)\/((sqrt(16)*3)\/sqrt(8)).\nAnswer: -103*sqrt(2)\/3 + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 524137 and 30078.\nAnswer: 28303398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q - 14 = 2. What is the hundreds digit of 2\/(-16) - q\/((-24)\/(-17355))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2 + -10 + (-117)\/(-13))*14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-21))**(-8\/3) assuming o is positive.\nAnswer: o**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 923371.7 weeks to hours.\nAnswer: 155126445.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140931 is divided by 140894?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 21 = 2*i - 208, 2*g - 601 = -5*i. Suppose i*r + 2 = 120*r. What is the smallest common multiple of 1 - (0\/(-1) - 5) and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/3743901 and -67\/693315.\nAnswer: 18719505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 2\/7 (c) 3\/8 (d) 467 (e) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 61*g**2 + 1035*g - 70108. Calculate r(58).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)\/sqrt(24) + sqrt(32) + (sqrt(800)*2)**2.\nAnswer: 6*sqrt(2) + 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*w**5 - 19*w**3 - w**2 + w - 257 wrt w.\nAnswer: 660*w**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + 0*c**2 - c**2)*(44*c - 195 + 195)*(-4 + 5 + 0).\nAnswer: 88*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 9 = -2*s. Suppose 7*c - 24 - s = 0. Suppose -v = -c*a + 46, -a = 4*a + 3*v - 62. Calculate the remainder when 16 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60135641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*c = 14, 241*x - 245*x = 2*c - 22. Suppose -v - 1 = -2. What is the highest common factor of v and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/4 + (-6039)\/(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1482199079?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-1\/5))**37*i**(1\/12)*i*i*i**3*i)\/(i*i**9*i**8*i*(i\/(i**(2\/3)\/i))**(-28\/3)) assuming i is positive.\nAnswer: i**(14567\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(4\/5)\/(z**(-13)*z)*z**27\/(z\/z**(1\/10)*z) assuming z is positive.\nAnswer: z**(379\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 5*v**2 + 5*v**2 - 4*v**2. Let p(m) = m - 2*m**2 - m. Calculate w(p(z)).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 34494, 34228, 33946, 33648, 33334, 33004, 32658?\n\"Answer: -8*j**2 - 242*j + 34744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2\/11 (c) 197 (d) -33460\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2214, -4539, -6900, -9297?\nAnswer: -11730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5098654 to the nearest integer?\nAnswer: 2258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 69 - (248 - (259 + -127))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 42960*a. Let f(g) = -21558*g. Calculate f(c(o)).\nAnswer: -926131680*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - -3*sqrt(325)*1 - sqrt(325)) + (sqrt(325) - (sqrt(325) + 5*(sqrt(325) + 1 + sqrt(325) + sqrt(325))))**2.\nAnswer: 765*sqrt(13) + 73150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 3:53 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 134910.7072006.\nAnswer: -134909.7072006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 266969841 to the power of 1\/2, to the nearest integer?\nAnswer: 16339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 149? (a) 5 (b) 0.01 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1667*h - 318391. Give b(-191).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 0. Suppose o*p + 110 = 2*y + 3*p, 114 = 2*y - 3*p. Find the common denominator of 307\/(-60) - 17\/y and 5\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-152)\/646*(-1071)\/(-18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*h - 5*l + 3 = -82*h, -7*h = -4*l - 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 4*r**2 + 3*r - 6. Let o(k) = k**3 - 3*k**2 - 2*k + 5. Let c = 98 + -95. What is c*a(y) + 4*o(y)?\nAnswer: y**3 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 26*c**2 - 5905*c + 14. Let k(j) = 15*j**2 - 2953*j + 8. Calculate 7*k(d) - 4*o(d).\nAnswer: d**2 + 2949*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -659069, -659068, -659067, -659066?\nAnswer: -659065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 4. Let r(v) = -v**2 - 3*v + 1. Suppose 0 = -2*n - 10 + 4. Let g be r(n). Let f(q) = -q + 1. Calculate g*t(z) - 3*f(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*57*(-1122)\/(-112860)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -1. Let u = 9 - 5. Let w = u - 6. Which is the nearest to 0? (a) w (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*t - 103*t + 2722 + 950 for t.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 7. Solve -5*i = -3*w - y - 5, 0 = 4*i + 5*w - 13 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (sqrt(99)*2 - sqrt(99)))*-1 + sqrt(99))\/sqrt(9).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 3\/2 - 390\/12. Let w be 0 - (-1 - -3) - s\/15. Are w and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2. Let u(l) = l + 19. Determine 2*u(t) - 18*y(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19 - ((-54)\/7 - (-32)\/(-112)). Solve 0 = 3*t + 3*f - 12, 5*t + f + 3 = s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.558 + 0.458. What is the nearest to -6 in -3, 3, l, 3\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/10 - (-62)\/2. Let z = -35 + n. Suppose -5*p + 94 = 3*c, -107 = -z*c - 4*c - 3*p. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*z + 312 = 1844 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-235*x**2 + 91*x**2 - 143*x**2)*(-4*x - 2*x - x).\nAnswer: 2009*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/35 (b) -0.1 (c) -13 (d) 5 (e) 5\/4 (f) 2\/789 (g) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.4 + 0.8. Let g = -58501.000021 + 58505.2. Let c = v - g. Round c to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 8. Suppose -4*u = y*v - 87, 5*v + 52 = 4*u + v. Let w(q) = 3*q + 3. What is the least common multiple of w(5) and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, 22\/3 in decreasing order.\nAnswer: 22\/3, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17161 not equal to 17161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1192 + a - 839 + 2039.\nAnswer: a + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 556 - 556.00000249. What is s rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, v: 12}. What is prob of sequence vvvu?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - 115*p**2 + 2 + 126*p**2 + 2*p in the form i + c*p**2 + q*p and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 0 + h**3 + 1 - 5*h**3 + 3*h**3. Let r be c(1). Sort 1\/2, r, -0.2.\nAnswer: r, -0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7*1 + (65\/20 - 26\/8). Let u be 4\/3*12\/8. Let s(f) = 0 + 8*f - 3*f**2 - 5 + 5*f**2 - 3*f**u. Give s(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l + 11 = -26*l - 4 + 3, -4*p + 7*l - 8 = 6*l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -12 = -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from raewwwwwheke.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -10*a + 2. Let o(w) = w - 8. Let d be o(6). What is the lowest common multiple of i(d) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 6. Let w(x) = -x**3 - 9*x**2 - x - 6. Let m be w(k). Suppose m*n + 69 = 5*n - t, 4*t = -2*n + 64. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3437.4 - -3437.10773. Let u = -0.02063 + k. What is u rounded to two decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122322 - 30?\nAnswer: -123012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 + 3*n**2. Let u be j(-2). Let m(b) = b + 1. Let d(t) = -t + 7. Let h(c) = d(c) - 4*m(c). Is h(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 0, 1, -160, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 5, 12, -33, 4, 6, -4 in increasing order.\nAnswer: -33, -16, -4, 4, 5, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + f + 8 = 0, -3*f + 0*f = 2*s - 10. Let x be (s\/18)\/(22\/12). Let t(w) = w**3 - 31*w**2 - 122*w + 680. Let l be t(34). Which is bigger: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112\/37 + -2999\/74. Let x = -41 - n. Calculate the common denominator of x and 87\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((177 + 3)\/18)\/(5\/2). Solve g = m + x, 2*m - 3*g + 1 = -8*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 189 by 6.\nAnswer: 63\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (90*k - 772 + 773 + 50*k)*(-37*k**3 - 3*k**4 + 35*k**3 + 8*k**4).\nAnswer: 700*k**5 - 275*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**2 + 5251028*o + 15753120 = 0?\nAnswer: -3, 1312760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -3*j**4\/2 + j - 58. What is i(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z - 4*p - 12, 4*z = -4*p + 28. Suppose 0 = -z*b - k + 15, -4*k - 30 = -2*b - 2. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-5) + 5772\/30. Suppose 4*n = 4*v + 16, -5*v = -2*v - n + 4. Suppose -4*i + z + 217 = v, -o - 30 = -4*i + 2*z. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 3 + (sqrt(1100) - (sqrt(1100) + 1 - sqrt(1100))) - (sqrt(1100) + sqrt(1100)*1 + 2 + 4*(sqrt(1100)*2 + sqrt(1100) - sqrt(1100))))*5)**2.\nAnswer: -18000*sqrt(11) + 2227900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -11*-4*(-2)\/8. Let o = h - -2. What is the units digit of (-164)\/(-9) - (-2)\/o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**3\/3 + 13*a**2\/2 - 3*a + 2. Let v(t) be the first derivative of c(t). Let q(u) = -u + 6. Calculate 9*q(w) - 4*v(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 404606545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 187*j**4 - 5*j**3 + 152*j**2 + 5*j + 5. Let c(f) = -f**4 - f**3 + f**2 + f + 1. Let b(d) = 5*c(d) - r(d). What is the third derivative of b(w) wrt w?\nAnswer: -4608*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(3\/(0 + -24)). Let t be ((-14600)\/(-6))\/(f\/240). Round t to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 4 + (-4)\/(-2). Let d be 52\/10 + 3\/(-15). Suppose -2*q = 3*p - 7, z*q + p + 19 = d*q. Calculate the lowest common multiple of 4 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -d + 6. Let j = d - -14. Solve 2*g = 4*g - j*f - 7, 2*f = 2*g - 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*t + 3*a, 0 = -170*t + 169*t + 5*a + 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 20402?\nAnswer: 20402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2*(1 + sqrt(2450))*-5 - 4*(sqrt(2450) - ((sqrt(2450) + -1*sqrt(2450) + sqrt(2450))*-1)**2)))*-6.\nAnswer: -58710 + 2940*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**5 - c**3*d*r - 147*c**2*r - 2*c*d*r + c*d - 2*d*r wrt c?\nAnswer: -20*c**3 - 6*c*d*r - 294*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364 + 4*v - 364 + 728 + 7*v.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*(-12)\/(-54))\/((-178)\/2581)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*q - 3. Let z be 3 - 2 - (q - 1). Find the second derivative of -3*g**5 + 9*g**5 - z*g**5 - 2*g wrt g.\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.7 - -0.8. Let b = -0.89999954 - h. Round b to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 624*y**2 + 335*y - 624*y**2 - 83*y**3.\nAnswer: -83*y**3 + 335*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**4\/24 + 11*w**3\/6 - 6*w**2. Give p(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.3 (b) -0.1499 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 5*w - 40, 1488*w - 27 = -3*u + 1485*w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011101001110001010000 (base 2) in base 15?\nAnswer: 40514c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 614643865?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-228)*(-18)\/(-2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-245 + 126 + 23*b + 117 + 17*b)*(-3 + 2 - 1).\nAnswer: -80*b + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.02548 times 182010\nAnswer: -4637.6148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c + 4*c**3 + 8 - 8 to a*c + n + u*c**2 + y*c**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 32 + (-16 - (-50 + 16))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w = -13*d + 8*w - 87, -5*d + 2*w + 17 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 9 = 2*z, 7278*z + 99*h - 695 = 7280*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 17*b**2 + 25*b - 4. Let p be f(-6). Let y = p + -256. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6695 times -1.998\nAnswer: -13376.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2995678 to the power of 1\/2, to the nearest integer?\nAnswer: 1731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98968.9683 - 98979. Let d = 0.0317 + u. Suppose 4*r = 6*v - 4*v, -3*r + 3 = -3*v. Which is the nearest to 0.2? (a) -1\/7 (b) d (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102225 is divided by 71.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -ba8269 (base 12) in base 3?\nAnswer: -12120022120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f*i*q - 1929*f*q - 96*f - 2*i*q - 56*i + 4*q wrt q.\nAnswer: 2*f*i - 1929*f - 2*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 0, 3*j + 130 = -3*u - 41. Let r = -38 - j. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230304?\nAnswer: 2, 3, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11609558 is divided by 69937?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 3*k**2 + 2*k. Let t be s(-2). Suppose -4*p + 8*p - 76 = t. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.1 (c) 6535\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*((-111)\/18 - 59\/(767\/(-78)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3792 = -3*s, -4*s - c + 4072 + 984 = 0. Calculate the highest common factor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 2*f + 1. Give q(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*29514667.\nAnswer: -2951466.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(5 + sqrt(76))**2.\nAnswer: -1818 - 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * 0.302.\nAnswer: -4.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 16*b + 30. Let g be v(14). Let s be (g\/6)\/((-8)\/(-576)). Calculate the highest common divisor of 108 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 39, 0 in ascending order.\nAnswer: 0, 11, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13602.\nAnswer: 2, 3, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*h**3 - 1 + 18*h**2 - 83*h**3 + 23*h - 89*h**4 + 87*h**4 to c*h**3 + q*h**4 + w + z*h + m*h**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472928*m**3 - 572761*m**3 - 283934*m**3.\nAnswer: -1329623*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/765 and -37\/204.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2112011 + 122?\nAnswer: -2111223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232, -460, -696, -934, -1168, -1392?\nAnswer: -1600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 67*s**2 + 5*s - 2. Let v be f(4). Let o = v - 2096. Let i = o + -174. What is i rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 456246 + 81*o + 8*o + 2895*o**5 - 456245 wrt o.\nAnswer: 57900*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19165\/4 - -4792. Factor 0*y**3 - 3\/4*y**4 + i*y**2 + 0 + 0*y.\nAnswer: -3*y**2*(y - 1)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2708, 21784, 73560, 174386, 340612?\n\"Answer: 2725*a**3 + a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11400242 (base 5) to base 6\nAnswer: 2140122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39450, 315713, 1065602, 2525931, 4933514, 8525165, 13537698?\n\"Answer: 39469*k**3 - k**2 - 17*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 7*b - 17. Suppose -4*c + 4 = -4*v, -4*v = -5*c - 7*v + 21. Solve -k = c*r + k + 8, b = -3*k - 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**9\/1512 - s**8\/280 - s**7\/140 - s**6\/180 - s**3\/3 + 6*s**2. Let o(w) be the first derivative of a(w). Factor o(u).\nAnswer: -2*u**2*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.34 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -15*i + 10. Suppose -3*l = -6*l + 18. Let q(c) = -7*c + 5. Determine l*v(w) - 13*q(w).\nAnswer: w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373388 is divided by 92172.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*t - 8*t + 1 - 33*t)*(0*t**3 + 5*t**3 - 4*t**3).\nAnswer: -21*t**4 + t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20149, -40299, -60453, -80611, -100773, -120939?\nAnswer: -141109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8 + 8 = -g, -5*m = -5*g - 30. Solve -m*l + 6 - 51 = 5*w, -5*l - 4*w = 41 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 63*x - 14. Let w(r) = -21*r + 5. Let a = 13595 - 13599. What is a*f(u) - 11*w(u)?\nAnswer: -21*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441423665?\nAnswer: 5, 88284733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4970 - -38347. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97.99999917 - -98. Round f to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 l, and 2 n when four letters picked without replacement from {p: 1, n: 2, b: 1, v: 1, l: 1, i: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -138*k + 30420. Calculate b(220).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 1330458*i + 442529622441.\nAnswer: (i - 665229)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - (sqrt(190)*-1 + sqrt(190))*-2) + 1*sqrt(190)*3)\/(sqrt(90)\/(sqrt(81)\/(sqrt(27)\/sqrt(3)))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 0.3334398\nAnswer: 0.0665602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 11:51 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*5\/((-130)\/91).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -338*x - 3*x**2 + 26*x - 2 + 845*x to n*x + b + w*x**2 and give n.\nAnswer: 533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/15 (b) 0.1 (c) 2\/45 (d) 2 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*o + 97*o = 52*o + 4928 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + (-4)\/3)\/(34\/561). Let t(r) = r**2 - 18*r + 81. Let y be t(q). Put -3, 3, y, -5 in increasing order.\nAnswer: -5, -3, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200293236 is divided by 397?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -157 * -0.4.\nAnswer: 62.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 12918*p - 1256360.\nAnswer: -(p - 12820)*(p - 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -52*o**3 + 13*o**2 - 60*o - 13. Let i(b) = -23*b**3 + 6*b**2 - 30*b - 6. Calculate 9*i(y) - 4*x(y).\nAnswer: y**3 + 2*y**2 - 30*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 - 20. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1f2c72 (base 16) to base 15.\nAnswer: 2a54e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z**2 + 53*z - 133. Calculate the least common multiple of k(2) and 5348.\nAnswer: 26740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74600000 to the nearest 1000000.\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 19*x**2. Let c(r) = r**3 - 16*r**2 + 24*r - 134. Let d be c(15). Give t(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 90 = -3*r. Let z = -26 - -14. Let f = z + r. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-18))\/((-2)\/(-3))*-3. Sort -4, -2, v, 1.\nAnswer: -4, -2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.6698 rounded to one dp?\nAnswer: 14.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, n: 9, p: 2, l: 4, o: 3}. Give prob of sequence pnlp.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.35 - 0.15. Let b = d - -1.46. Let g = 0.64 + b. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/98)\/((-16)\/14)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/9 (b) 0.4 (c) 0.037 (d) 0.17 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 5*m - 15, -5*l - 3 = -l - m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 4*p + 44 = 0, -3*j - 76 = -3*p + 54 - 195 + 107 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1038.63635 + 0.06365. What is z rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69489 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.486 (b) -8 (c) 0.1 (d) -18 (e) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -570829 and 3?\nAnswer: -1712487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 2\/5, 1\/11, 603, -2.8?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 - 5639 + 5639.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**4 - 7*c**3 - 5 - 2503*c**2 + 2*c + 6 + 2504*c**2 to a*c**4 + k*c**2 + b*c + i*c**3 + n and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 4:37 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -84134040 divided by -10\nAnswer: 8413404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -6. Let o = -2 - h. Let u(r) = r + 1. Let x be u(-4). Which is the smallest value? (a) o (b) 3\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 9:18 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(((-14)\/28)\/(1\/(-6))). Is 670\/((-8 + 7)*(d - 3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrv when three letters picked without replacement from rrbrbbvbvr?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -228703 (base 10) in base 11?\nAnswer: -146912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, 2, -2, -3, 4 in increasing order.\nAnswer: -3, -2, 1, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 8145.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3646\/63 - -381\/7. Find the common denominator of w and 51\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millisecond in microseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 12*l**2 - 12*l - 148. Let t = 15738 + -15750. Give z(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1487, -2232, -2977?\nAnswer: -3722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.122 - 1.532. Let n = -65 - -64.89. Let j = r - n. Round j to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 2:02 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2111 (base 5) to base 10\nAnswer: -281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 679 = -3*j. What are the prime factors of j?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - -15. Let c = 40 - j. Calculate the highest common factor of c and 130.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -2. Let o = -16284 + 16280. Sort -5\/4, o, -1\/4, y in descending order.\nAnswer: -1\/4, y, -5\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -1297*m + 1315*m - 39, 0 = -4*m + 4*f + 24 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-20)\/32) + (-2080)\/(-234)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 26*t + 6. Give k(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 89 - 4*k - 89 + (-1 + 5 - 2)*(-k + 1 - 1) + 42*k - 113*k - 138*k.\nAnswer: -215*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1987 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.01 and 670417439.74.\nAnswer: 670417440.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 271.44 rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2032356575?\nAnswer: 5, 1013, 80251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9*(6 + 156\/(-27)). Differentiate 157*o**2 + 270*o**t - 50 - 282*o**2 wrt o.\nAnswer: 290*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8 - (-42)\/(-952)*17.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -1736 + 1754 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3610 + 3644. Calculate the highest common factor of s and 10778.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -1.3. Let z = -0.45839 + -0.01341. Let v = 0.0282 - z. Which is the nearest to -1? (a) n (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - (sqrt(2100) + (2*sqrt(2100) - sqrt(2100) - sqrt(2100))))\/(sqrt(24)\/(sqrt(8)*-1)) - (sqrt(1575) + -4 + sqrt(1575) + 1).\nAnswer: -21*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/1778112 and 61\/288.\nAnswer: 1778112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/179, -0.046, 5?\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.034005 times 2.12\nAnswer: 0.0720906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/9 + 2*f\/3 + 5\/9.\nAnswer: (f + 1)*(f + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven eighths of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + 11*b - 3 + b to n*b + f and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36876 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.7 + 0.7. What is the third smallest value in 8, q, 0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = s - 2*s + 152, -4*s = -2*u - 520. Suppose 8*y - s = -4*y. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*d + 121*d - 20 = 0. Suppose 0 = -3*z - 4*t + 2*t + 152, -d*t - 218 = -4*z. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 25335120*k + 32093415270720.\nAnswer: 5*(k + 2533512)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 d when three letters picked without replacement from zfzczzmddzfzcmcf.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 9*n - 60. Let g be c(7). What is the derivative of 63*q**3 - 1 - 16*q**g + 3 wrt q?\nAnswer: 141*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4609*t - 4622*t + 328575 = 0. Calculate the highest common factor of t and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.699998958 - 22.7. Round h to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 11. What is the third derivative of p*s**2 + 8*s**4 - 3*s**4 - s**4 wrt s?\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (11 - (28 + -10))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-3)\/2)*(-14)\/98.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*d - 1 + (-2*d + d + 0*d)*(28 + 4 - 1) + 2*d + 93 - 97 - 3*d.\nAnswer: -34*d - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z. Let r(b) = -41*b. Determine r(i(a)).\nAnswer: 41*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 467997 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - sqrt(72)\/sqrt(4)) + 3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 684884*o. Let k(w) = -2*w. What is n(k(p))?\nAnswer: -1369768*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xokx when four letters picked without replacement from {x: 2, k: 3, o: 15}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(0*u + 2*u - u) - 2 + 152*u - 88*u + 0.\nAnswer: 65*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 55?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53584166 to the nearest integer?\nAnswer: 7320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15014135 + 162?\nAnswer: 15014330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*s + 4*y - 3*y, 18 = 3*s - 2*y. Let u(q) = -363*q + 11261. Let i be u(31). Solve i = b + s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2750*q + 2012*q - 4765*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 5298694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 26\/3. What is the biggest value in 2, -4, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from jmbqdymj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2111 (base 3) to base 13.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2092 = 2*i + i - x, x + 700 = i. Suppose 4*z - i - 416 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 4. Let l be (1\/(-1))\/((-3)\/27). Let m be o(l). Suppose 4*z - 11 - 72 = -5*t, m*z = -2*t + 125. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041081 is divided by 121.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1413 - 773. Let d be (50\/(-8))\/((-5)\/q*2). What is the highest common divisor of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2998273276 divided by 4.\nAnswer: 749568319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*j - 38. Let i = 12 + j. Solve -7*t + 20 = -i*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (650\/(-100))\/(3\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 2*p**2 + 0*p**2)*(4*p**2 - 4*p**2 + 2*p**2) + (40 - 40 - 46*p**4)*(-2 - 5 + 2).\nAnswer: 236*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11362407?\nAnswer: 3, 7, 509, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/(-24))\/((-4)\/(-126)). Let m = w + -15. What is the remainder when 10 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4696*l - 1737*l - 2288*l.\nAnswer: 671*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/2)\/(-3))\/(((-5)\/8)\/((-19765)\/268))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 256 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*t + 4*q + 82, -3*t - 2*q = 124. Let p be -3 - t\/9 - 1. Which is smaller: 2\/5 or p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -243*y**3 - 36437985*y**2 + 16194696*y - 1799412 = 0.\nAnswer: -149951, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.176558 micrometers?\nAnswer: 0.000176558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -5 (c) 1 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/12)\/(7\/(-21)). Let i(g) be the first derivative of -2*g + 7 - g**2 + 1\/4*g**v + 1\/3*g**3. What is i(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -45, -312963 in ascending order.\nAnswer: -312963, -45, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y + 11. Let j be b(-7). Let z = j + -30. Solve -4*o + z*l = -0*o - 12, 8 = 3*o - l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*j - 20 = -318*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 10) in base 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 + 5*c**3 - 105*c**2 - 225*c.\nAnswer: 5*c*(c - 5)*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -2691.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -16 (b) -2\/9 (c) 2\/7 (d) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*l - 19. Solve 0 = 5*w - 20, 0*v + l = -2*v - w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s - 9. Let w(q) = q**2 - 6*q + 2. Let a be w(4). Let t be n(a). Suppose -65 = -2*r - t*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134787 divided by -537?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 2:25 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**3 + 123*t**2 - 237*t + 117 = 0. Calculate t.\nAnswer: 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -90788 + 90789 - 6*d**2 + 4*d**2 - 6*d. Determine v(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271789409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b + 38 = 13*b + 2*r, 0*b + r = 2*b + 13 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 0*g + 15 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5505140, 5505194, 5505342, 5505632, 5506112, 5506830?\nAnswer: 5507834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29855440?\nAnswer: 2, 5, 373193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/40 + -7\/40. What is the closest to -3 in 0, 1\/8, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -6.07.\nAnswer: 48.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 10. Let o be s(-7). Let x = o - -6. Put -4, x, 1 in ascending order.\nAnswer: -4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/325 - 1617\/1300. Let y be 6\/(-2)*1\/7. What is the third smallest value in c, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + v - 439 = 0, -5*v - 102 = 2*z - 273. Suppose 4*i - s = 3*i + z, 3 = -s. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7941748008 to the power of 1\/2, to the nearest integer?\nAnswer: 89116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*y**3 - 9*y**3 + 27991 - 11*y**3 + 32*y**3 - 27991.\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 5) + 5 + -3. Suppose -2*t + 101 = 3*y + 3*t, q = -2*t + 2. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/15 - (-152)\/5. Let p be (1 - 0)*((-12)\/(-15))\/((-30)\/75). Let f be t\/(-3)*1\/p. Solve -f*y + 0*y - 7 = 4*d, d + 4 = -2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 + 20555*p**2 - 21032600*p - 190962000.\nAnswer: -5*(p - 2060)**2*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -160 - -160.2. Suppose 0 = 2*h - 9*h + 7. What is the closest to h in y, -2\/9, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**4\/2 - 23*f**3\/3 + 17*f**2\/2 + f - 9. Let m be v(-8). Solve -q - m = 2*o + 8, -2*o + 3*q + 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 35736 - -5?\nAnswer: 3573b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8495*s + 8494*s - 16991*s + 29*s**2. Let q(n) = -3*n**2 - 5. Let c(p) = p**2 + 1. Let o(x) = -5*c(x) - q(x). Determine g(o(i)).\nAnswer: 116*i**4 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 29 = -3*d, 0 = -3*d + 4*k + 281 - 315 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96 - -241. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2981*r - 2981*r + 84*r**3 + 136*r**3 - 152*r**3.\nAnswer: 68*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -15276?\nAnswer: 15277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/2 + (-18)\/(-12). Let l(x) = x**f + 7*x**2 + 3*x**3 - 2 - 10*x - 3*x**3. List the prime factors of l(-8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**5\/17 + 42*m**4\/17 - 24*m**3\/17 - 2072*m**2\/17 - 4704*m\/17 = 0.\nAnswer: -4, -3, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*j - 4 = 0. Let o be 3\/6*j*4. Let c(w) = w**3 + 7*w**2 - 8*w + 4. Let u be c(o). Solve 5*s - 2*k - 12 = -3*k, -u*s - 5*k + 18 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/4 + 3*l**2 - 169*l\/4 + 105 = 0. What is l?\nAnswer: -21, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -473556.\nAnswer: 1\/473556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*t - 18, 3*m + 9 = 6*m. Suppose t*o + z - 18 = 0, 0*o - 2*z - 19 = -o. List the prime factors of o + (-1)\/((-1)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 8*u + 8. Let c be (u\/(-5))\/((378\/15)\/(-7)). Factor 0*t + 0 + c*t**3 + 2\/9*t**2.\nAnswer: 2*t**2*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1599.7936 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**4\/4 + 8*b**3\/3 - 11*b**2\/2 - 12*b + 297. Calculate i(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.981 + -5.581. Which is the nearest to -1\/2? (a) l (b) -5 (c) 23\/66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3500)*-2)\/(sqrt(35)\/(3*sqrt(5)) - sqrt(7)).\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = -3*f - 1, 3*f - 4 = t. Let b be (f + 0)*2 - -4. Let o(x) = 35*x - 5. Let z be o(1). What is the greatest common factor of z and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506884 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -78318*y + 39158*y + y**3 + 3 + 45*y**2 - 7*y**3 + 39159*y as w + p*y**3 + u*y**2 + d*y and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(-2*sqrt(288)) - (2*sqrt(12) - 5*(0 + sqrt(3))))**2.\nAnswer: 121\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 7. Let s(h) = h - 10. Let k(i) = -1. Let z(t) = -6*k(t) + s(t). Calculate 4*o(w) + 7*z(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -183.046 to one dp.\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 7 (b) -0.2 (c) 2.7 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 14\/5, -1.585 in ascending order.\nAnswer: -1.585, 0.2, 14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -781 - 24*c**2 + 383 + 398 - 11*c**2.\nAnswer: -35*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 20*y**5 - 100*y**4 - 35*y**3 + 490*y**2 = 0.\nAnswer: -2, 0, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.2 (c) -5 (d) 0.021\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 14 - 5 + 0. Let b be l(10). What is the second derivative of -b + 19 + 27*x + 10*x**2 wrt x?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 61419923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 2 - (-8)\/2. Suppose -x = -s - 3. Suppose -r + x*z = -3*r + 25, 4*z + 6 = r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3365463781 rounded to five decimal places?\nAnswer: -1.33655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13930997 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177, 12, -10 in ascending order.\nAnswer: -177, -10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189831.\nAnswer: 3, 63277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 15054*i - 15033*i - 7.\nAnswer: 21*i - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmmmmkzkzkmmmmmk. Give prob of picking 2 m and 2 k.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, -16, -44, -84, -136, -200?\n\"Answer: -6*b**2 + 2*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 - -298\/5. Find the common denominator of b and -49\/23.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -3 (c) -1882 (d) -2\/9 (e) 3 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2. Let o(u) = 59 + 59 - 101*u**2 - 181 - 898*u**2 - u + 61. What is o(x(j))?\nAnswer: -3996*j**4 - 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5\/4*(-1639)\/8195\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0 - (120 - 87)) + -5 + -2.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1530237 is divided by 480.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10309488 and 225344.\nAnswer: 41237952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 860 - 551. Let k = w - 58. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 6:55 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t + 43. Let a(s) = -s - 14. Let u(y) = -7*a(y) - 2*d(y). List the prime factors of u(-10).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/42)\/((-28)\/(-84))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -29*a**2 + 7*a + 13. Let s(i) = 10*i**2 - 2*i - 4. What is 2*k(g) + 7*s(g)?\nAnswer: 12*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-28))\/((-2)\/(-4)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -34\/9 (b) -0.5 (c) -1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhohhhhhhhhhhhhhhh. Give prob of picking 1 h and 1 o.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 2*k**2 + 5*k. Suppose -5*s = -4*n - 4*s - 15, -3*n - 3*s - 15 = 0. Calculate the smallest common multiple of 2 and a(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + i. Let v(t) = -35*t**3 + 30*t. Let l be -1*(-6)\/(-21) - (-208)\/(-7). What is l*c(o) + v(o)?\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 3:45 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -14 + -24 + 30.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/399 + (-688)\/(-168).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*v = -2, 0 = -3*w - 0*v - v + 4. Let q(g) = 26*g**3 + 3*g - 2. Does 9 divide q(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/10)\/((-6)\/(-15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 7 = -5*a - 42 - 50, i = -5*a - 85 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173882?\nAnswer: 2, 227, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 94421474 to the power of 1\/2, to the nearest integer?\nAnswer: 9717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 17. Let t = 8.1 - j. What is the nearest to t in -0.2, -2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4319.454 + -4325. What is n rounded to 1 decimal place?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + f + 3 = 0, 40 = 5*p + 16*f - 12*f. Let z be (-11 - (-24)\/2) + 6\/p. What is the nearest to 0 in z, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - x + 159 = -17, x + 91 = -k. Let y = k - -149. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.1, -8935, -2215 in decreasing order.\nAnswer: 1\/3, -0.1, -2215, -8935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 2*t = -10, r - 4*r - t = 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3520)\/2240*(1\/6)\/(77\/(-28))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287, 632, 977, 1322, 1667?\nAnswer: 2012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4585783 divided by -8\nAnswer: -4585783\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*h**2*x**2*y + 116*h**2*x**2 - 822*h**2*y + h**2 - 2*h*x - 5*h*y wrt x?\nAnswer: 68*h**2*y + 232*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - y**2 + y - 4. Let a be q(-3). Let z = a + -10. Let g be z\/5 - 38\/(-10). Sort 0, 3, g.\nAnswer: 0, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + 34. What is the second derivative of x*m**4 - 305 - 152*m + 305 wrt m?\nAnswer: 924*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0 (b) -0.09 (c) -0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**2 + 25*q + 20. Let n(l) = 3*l**2 - 17*l - 13. Let f(x) = 7*n(x) + 5*v(x). Let u be f(-5). Sort -1, 0.1, u.\nAnswer: -1, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 45*k**2 + 43*k - 48. Let n be i(-44). Let f(h) = h**3 + 6*h**2 + 4*h - 1. Give f(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45284, 45706, 46128, 46550?\n\"Answer: 422*i + 44862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -18*f + 63. Suppose -a = 4*x - 9, -5*x + 8*x + f*a = 0. Let h = -22 - -50. Calculate the remainder when h is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*y - 86*y - 51*y - 93*y)*(57*y**2 - 61*y**2 - y - 3*y).\nAnswer: 772*y**3 + 772*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 2*c**3\/3 + 2. Let i(r) be the third derivative of r**5\/60 - 2*r**2. Give -9*i(s) + 4*y(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 275, 355, 383, 341, 211, -25, -385?\nAnswer: -887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-1 - -3)*9. Let h be (-4)\/g + 48\/10. Solve t + 22 = h*a - t, -4*a - 2*t = -14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(68)\/((sqrt(324) - (sqrt(324) - (sqrt(324) - (sqrt(324)*3 + sqrt(324) - sqrt(324))))) + sqrt(4) + sqrt(4)) + -4)*1.\nAnswer: sqrt(17)\/8 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -25*w**3 + 3*w**2 + 10*w + 6. Let t be b(-1). Solve t*u - 29 = -29 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -12. Suppose -3*p + 4*p - 40 = x. What is the units digit of (1 - 6)\/((-5)\/p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 542, 1093, 1644, 2195, 2746, 3297?\n\"Answer: 551*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/6 - ((-6)\/(-9))\/(-2). Let y(k) be the first derivative of 8 - 8*k - g*k**2. Calculate y(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-22) - 9\/(-11). Let c be -12*(4\/6 + -1). Find the first derivative of -6 - l + 8 - 2*y**c + 0 wrt y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36.828 + -20.828. What is the biggest value in -7, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 951\/120 + 0 + 0. Let g = 39\/5 - m. Let p(o) = o - 11. Let f be p(12). Are f and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + (sqrt(18)\/sqrt(3) + sqrt(6))\/sqrt(3))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2387*t = 2420*t - 99 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 291*a**2*k*u + 23998*a**2*u*z + a*k*u**2 + 185*k**2*u**2*z - 3310*k**2*u**2 + 2*k**2*u wrt z.\nAnswer: 23998*a**2*u + 185*k**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d**8*d)\/d)\/(d**(2\/31)\/d*d))**(-25)\/(d**13\/(d**3\/d))**35 assuming d is positive.\nAnswer: d**(-18860\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6600 + -6571. Let h = -1 + 30. What is the highest common factor of k and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 3, h: 1, c: 1, b: 1}. What is prob of sequence oc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20693938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 33 - (-3 + 16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w - 6. Let v be r(4). Suppose v*j = -j. Let s = j - -1. Which is smaller: -2\/7 or s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1490157 rounded to three decimal places?\nAnswer: 0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102121 (base 3) to base 5.\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7 + 7 + p**2. Let s(u) = -3*u**2 - 4*u + 4*u. What is s(a(k))?\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0753 - -0.5753. Which is the closest to -0.1? (a) 0.3 (b) 5 (c) 7 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1543*b**4*v - b**4 + b**3 + 3*b**2 + 107*b + 2*v + 4 wrt b.\nAnswer: -37032*b*v - 24*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 0*t - 13 - 3*t + 4*t + 41. Let j(q) = q**2 - 15*q + 4. Let l be j(13). What is the units digit of n(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 1. Let d be z(-6). Suppose d*o = o + 28. Let y(t) = t**2 - t - 2. Let f be y(-5). Calculate the greatest common divisor of f and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cttw. What is prob of sequence ct?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**3 - 3*r**2 - 2*r - 3. Let f be w(3). Suppose 12 = -3*i, -4*h + 2*i + f = -3*i. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2483133043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.9 + 1.771. Let z = -6.974 + 7. Let g = a + z. What is g rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s**2 + 5*s**2 + s**2)*(23*s - 123 + 123) as o*s + z + v*s**3 + t*s**2 and give v.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**2*j)\/(j\/(j\/(j\/j**(7\/2)*j*j))))\/(j**(-37)*j**(-6\/17)))**(-18) assuming j is positive.\nAnswer: j**(-12501\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -1 - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52884 + 67055 = 2527*m - 884*m for m.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 7)*((-2*t - 3 + 3)*(1 + 2 - 4) + (3 - 3 + 2)*(6*t - 3*t - t)).\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93315 by -15.\nAnswer: 6221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from uquqiguu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1927780418?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 9) to base 14\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnxxnxwxnynnnn. Give prob of picking 1 n and 2 x.\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2259925059 a multiple of 2743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -25788 (base 9) in base 5?\nAnswer: -1024124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*(-28)\/(-30)*1257\/838.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 35 = -53. Suppose -w*c - 2392 = -19*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.017*6743.\nAnswer: -114.631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2880*a - 2680 + 2680 + 8563*a - 2837*a - 2848*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - j = -55822 + 55792, 8*j = 4*j + 120 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -52. Which is the second biggest value? (a) 2\/3 (b) -0.02 (c) -0.5 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/(-171))\/(4\/360).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4454 a factor of 142107903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 3 (c) -4416 (d) 61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22446144 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -17\/60*u**5 - 23*u**3 - 1\/6*u**4 + 0*u + 0 - 183*u**2. Differentiate l(g) with respect to g.\nAnswer: -34*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4427 - 734 = 13*x. Let j = -13 - x. What is the highest common divisor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -295 divided by 6\nAnswer: -295\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 16 = 0, -8*j + 12*j = i + 8658. Which is smaller: -8625 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10122 + -1122?\nAnswer: -12021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 642 + 536 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*j**2*x - 2159*j**2 + 7467*j*x**3 - 638*j with respect to x.\nAnswer: 26*j**2 + 22401*j*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-13) + 54\/(-702). What is the closest to -0.03 in j, 0.3, 0.02?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48339 and 39?\nAnswer: 628407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 41*w**2 - 71*w - 1202. Let c be o(-42). Solve 27*y - 24*y - 5*z + 17 = 0, -5*y - c = 4*z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 48923321\/5 and 9784665 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/26492840 and 105\/1926752?\nAnswer: 105971360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 + 10 = 12*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 38442009, 76884011, 115326013?\n\"Answer: 38442002*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*r = -144539, -5*w + r - 80535 + 321424 = 0. List the prime factors of w.\nAnswer: 3, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -277948*b*u**3 + 3*b*u**2 + 3*b*u + b - 754 wrt u?\nAnswer: -1667688*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116 and (-3)\/(-30) - (-4 + (-237)\/30).\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -183, -1 in decreasing order.\nAnswer: -1, -3, -5, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3dc (base 16) to base 8\nAnswer: -1734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -9d?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144027 (base 8) to base 12.\nAnswer: -25787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12453 and 723996.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1319 - 1120. Let j = -429 - -733. Let z = j - m. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 9*b - 2. Suppose -i + 57 = 4*g - 0*i, -2*g + i + 27 = 0. Calculate the lowest common multiple of k(-5) and g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + t - q - 25 = 0, 4*q = 2*t - 30 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 1. Let h(x) = -8*x - 2. Determine h(g) + 5*w(g).\nAnswer: -3*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -47*114\/(-128592)*-2664?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*f = 1, -2*o - 4*f + 5 = f. Suppose -o*z + 3*g = 8*g - 35, 34 = 4*z + g. Let p = 6 - z. Which is the nearest to -1\/2? (a) p (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13524596711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 0.05 (c) 1\/4 (d) -675\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvww when four letters picked without replacement from {v: 6, x: 4, w: 3, m: 1}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, g: 1}. Give prob of sequence gv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 58278.05 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1068 + 1721. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 40443135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 12*f - 12. Calculate the least common multiple of 6 and s(14).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 11*r - 22. Suppose 4*q + 2*i + 60 = 3*q, 5*q - i + 355 = 0. Let b = q + 76. Let z be o(b). What is the highest common factor of z and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (286\/(-78))\/((-22)\/4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -0.5, 3, -1, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, 4, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1256, -1255, -1254?\n\"Answer: h - 1257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8169 + -8166. What is the nearest to -0.1 in -166, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 - 35) + -5 + -1 + (-2 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1230845 and -1?\nAnswer: 1230845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 50246 - -0.48\nAnswer: 50246.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 896365.2 centuries?\nAnswer: 89636520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 37*d**6\/6 - 613*d**3\/3 - 709. What is the third derivative of p(y) wrt y?\nAnswer: 2220*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmu when three letters picked without replacement from {m: 1, i: 1, u: 1, z: 2, l: 1, s: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 1)*48 + 5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3776*i - 860*i - 238169 + 15641 for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/1*32\/(864\/(-13)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-7) + 90\/21. Let l(f) = 2*f**3 + 55*f**2 + 28*f + 23. Let d be l(-27). Let q be (-16)\/28 - d\/7. Solve 0 = w*c - q*c - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23330207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1282036, -1282070, -1282106, -1282144, -1282184, -1282226?\n\"Answer: -p**2 - 31*p - 1282004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2, -1, -4 in descending order.\nAnswer: 11, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**28)\/(h**(-3\/16)\/h) assuming h is positive.\nAnswer: h**(-397\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 6*((-3 + -2*sqrt(539))*-3)**2)*-6.\nAnswer: -701436 - 27216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 12 - 20) + -10 + 80?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (4 - 11) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94024*f**2*l + 4*f**2 + 82*f*l + 125 wrt f.\nAnswer: 188048*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3888660, -3888668, -3888698, -3888762, -3888872?\n\"Answer: -2*f**3 + f**2 + 3*f - 3888662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 15. Suppose 2*i = 10 + g. Let n be (1\/(-2))\/(1\/(-162)). Calculate the greatest common divisor of i and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -0*a + a, -4*g + 32 = -4*a. Suppose 4*k - 7*k + g = 0. Which is smaller: 4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2. Let w(q) = 264*q. What is w(z(j))?\nAnswer: -264*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k**5\/15 + 20234*k**4\/15 + 480334*k**3\/5 + 1592550*k**2 - 32013774*k\/5 + 2171988 = 0.\nAnswer: -1190, -39, 3\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41 - 2*f + 10*f**2 + 10*f - 2*f - 45.\nAnswer: 2*(f + 1)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.948 - -0.052. Let b be -3*1 - (-4)\/4. What is the third smallest value in -0.2, b, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 34*f**3 - 2*f**2 + 1. Let n be ((-14)\/(-35))\/((-2)\/(-5)). Let l be v(n). Suppose q = l + 3. Calculate the remainder when 68 is divided by q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, -1 in descending order.\nAnswer: 6, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 215\/7 or 0.1?\nAnswer: 215\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 10*z + 15 = 0, -z = -5*d + 227. Which is smaller: 22 or d?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3488 is divided by 289?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 200019 to the power of 1\/2, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.40783 to 2 decimal places.\nAnswer: -6.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157414 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + (sqrt(175) - (sqrt(175) + (sqrt(175)*1 - sqrt(175)) + -1)) + (sqrt(175) + 0)*3 + 4 + sqrt(175) + (-1 + sqrt(175))*6)**2.\nAnswer: 200*sqrt(7) + 17504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 979, 991, 989, 967, 919?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 1)*0 + 0. Let q be -1 + 5 - (3 + -2). Suppose 0 = -5*f - 5*n + 40, 3*f + n + q*n - 27 = 0. Sort f, -4, i.\nAnswer: -4, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*d = -10*d + 34 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**5\/20 + x**4\/12 + x**3\/2 - x**2 + 7*x. Let h be l(2). Solve -5*c - 5*r = 40, -3*c + 4*r = -h*r - 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 2139?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 61?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(5\/9)*m**(-7)\/m*m*m\/(m\/(m\/(m**(2\/11)\/m))))**(-10\/3) assuming m is positive.\nAnswer: m**(5680\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 11\/((-176)\/40)*-4808 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 216, -15268, 2 in decreasing order.\nAnswer: 216, 2, -15268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 14*k**3 + 4*k**2 - 2*k + 1. Let d be -8*(35\/10 + -4). Let a be j(d). Suppose 11*b - 510 - a = 0. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37345 by -3.\nAnswer: -37345\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/5)\/(-1)*-37170 - -2. Suppose -3*c - 4*v = -2*c - 5966, 5*c - x = 3*v. Round c to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3433 and 2468327?\nAnswer: 2468327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 - 19\/4. Let j = 502 + -10540\/21. Which is the biggest value? (a) j (b) 3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 + -0.053808\nAnswer: 0.546192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvqvq. Give prob of picking 3 q and 1 v.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 629781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 37. Let i = 36 + q. Let t = i + -43. Which is the second smallest value? (a) -0.5 (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -133, -147, -167, -193?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-20))\/1)\/(60*141\/32900)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -2\/7 (b) -1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -402? (a) 8 (b) -29 (c) 2\/11 (d) 3 (e) 1 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011110100 + -10000110111100011?\nAnswer: -10000101011101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1200702 is divided by 150085?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*w + 148 = 2*b, -2*b - 5*w + 101 = 0. Let u(o) = b*o - 48*o - 3*o**2. Let x(k) = -6*k**2 + 3*k**2 + 4*k**2. Determine x(u(p)).\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 0. Let w = 11 + -6. Suppose 4*m + 5*r - 49 - 39 = 0, 110 = w*m - r. What is the remainder when m is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaaaaaaaaakaaakakaa?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.008, 5, -1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16943*s**3 + 16926*s**3 - 33864*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 194414.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**3\/6 + 53851*h**2\/6 - 102368*h\/3 - 53870 = 0 for h.\nAnswer: -10774, -6\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 2:54 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 29 = 4*c, 4*c - 342 = -3*u - 353. Put -1, -5, c, 3 in decreasing order.\nAnswer: 3, c, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 10:59 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/4)\/(15\/10). Suppose 2 = 2*j + 3*q, -3*q + 35 = -3*j + 2*q. Sort j, k, -3 in increasing order.\nAnswer: j, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 282812 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.15 + 5.85. Let i = 7.276 + -7.4. Let s = -0.024 - i. Which is bigger: o or s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, s: 5}. What is prob of sequence sssu?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 8 = -20. Suppose 5*v - 30 = -l*h, -5*v + 0*v = -3*h - 30. Is 15 a factor of ((-30)\/(-4))\/(v\/156) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 5*n**8\/336 - n**7\/21 - n**6\/8 - 24*n**2. Factor q(y).\nAnswer: 5*y**3*(y - 3)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 + 10 - 45) + 3 + -12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.05 or -37916?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58502?\nAnswer: 2, 29251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -8. Let f = 4.6 + -5. Which is the nearest to v? (a) f (b) 0 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -52.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**6\/60 + i**5\/30 + 2*i**2. Find the third derivative of d(t) wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5, 27, 75, 149, 249?\n\"Answer: 13*w**2 - 17*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*p - 5, c + 5*p + 9 = 2*c. Solve -4*m = 5*s + 25, c*s - m + 0 = 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 12:49 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 8:12 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-30))\/((1404\/(-130))\/9)*3\/(-2).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1641\/4, -4, -37, 4, -6.\nAnswer: -37, -6, -4, 4, 1641\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 4:34 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - k + 32, 3*j - 2*j = 3*k - 5. Let q(b) = -b + 5. Let s be q(j). Suppose -2*d - 5*n + 2 = 5, d = -2*n - 2. Sort s, 5, d in increasing order.\nAnswer: d, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15607*f**3*h**2*q**3 - 2*f**3 - 2*f*h**2 + 2*h**2 - 28*h + q**4 wrt q?\nAnswer: -46821*f**3*h**2*q**2 + 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/284 (b) -108 (c) 5\/4 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23b51 - -8?\nAnswer: 23b59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17973.97435 - 17954.37435286. Let f = c + -19.6. What is f rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 3*t - t)*(0*t**4 - 5*t**4 + 4*t**4) + 4*t**2 - 4*t**2 + t**5 + (t**4 + 2 - 2)*(2*t - 3 + 3) + 58*t**3 - 50*t**5 - 58*t**3.\nAnswer: -45*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*v**4 - 2*v**4 - 3*v**4 + (-1 + v**2 + 1)*(18*v**2 + 11*v**2 - v**2) + v**4 + 2 - 2 in the form f*v**4 + s*v + y*v**3 + k + b*v**2 and give f.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.0485?\nAnswer: -0.2425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -19. Suppose -4*o = 5*f + 50, -i*f + f + 18 = -2*o. Let y = o + 0. Is -11 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**4 - 174*g**3 - 1824*g**2 - 3138*g - 1485 = 0. Calculate g.\nAnswer: -45, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 593906947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2000 (base 4) to base 15.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-55)\/(-20))\/(6\/35016) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 1 + 14*n - 3 + 2*n**4 - n**4 as q*n**2 + m*n**4 + b + l*n + r*n**3 and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/672*8*7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 42 = 5*o - 3*g, 2*o - 50 = -g. Let f be 2\/9*(-252)\/o + 3. Factor -1\/3*r**3 + 1\/3*r - 2\/3*r**2 + f.\nAnswer: -(r - 1)*(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 301\/(-105))*-5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -43. Let f = 16 - c. Differentiate -6*d + 17 - 7*d - f*d + 5*d wrt d.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 273 + -158. Let g = -111 + b. Suppose -9*u + 1030 = -g*u. What are the prime factors of u?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11092, -11116, -11188, -11338, -11596, -11992, -12556?\nAnswer: -13318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17843659 is divided by 54236?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 13. Let c be x(15). Let s(z) = -6*z**3 - 1. Let j be s(-1). Solve j*g + 8 = -d, -c*d + 4*g + 1 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9799, -19407, -28927, -38359, -47703, -56959, -66127?\n\"Answer: 44*b**2 - 9740*b - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkokkokkk. Give prob of picking 2 k and 2 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/32190 and 99\/16.\nAnswer: 257520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165835211 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 336 divided by -112\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2009029ms in microseconds?\nAnswer: 200.9029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5700 to the nearest 100.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*z - 16, z - 2*z = -4*s + 12. Solve -m + 2*i - 11 = 0, 0 = s*m + i - 0*i - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 253*n - 83*n + 944*n to the form p*n + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i - 13*i = -25*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 2*i - 1 = -12*q, -3*q - 3*i + 33 = 0. Sort 5, 2, q, 1, 942 in decreasing order.\nAnswer: 942, 5, q, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -19*u**2 + 1156*u - 14585. Determine d(43).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 108b5 + 7?\nAnswer: 108bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 540 and 50147640.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**1\/r*r)\/r)*(r**(-2\/17)*r)\/r)\/(r**(-5)*r*r**(1\/5)) assuming r is positive.\nAnswer: r**(398\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 4*n - 4*n)*(4 - 1 - 2)*(-491*n + 762*n - 688*n) to the form u*n**2 + i + j*n and give u.\nAnswer: 2919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370107*i + 370027*i = -4000 for i.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 + 5 = -54*x + 34 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2356*b - 47134. Give d(-20).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 474 divide 472907707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 g when four letters picked without replacement from {s: 3, z: 4, g: 11}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-1))\/(-8))\/((-132636)\/176848)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 80190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 12:43 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142 + 149. Suppose -91 = -i*r + 21. Let v = r - -255. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(624)\/sqrt(3) - ((sqrt(26)\/sqrt(2) - sqrt(13))*6)**2) + (sqrt(416)*2)\/(sqrt(162) + (sqrt(162)*2 - sqrt(162))).\nAnswer: 40*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15968 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 7. Is (u + 2 + 1)*11 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*t = 132*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*s - 70, 5*s - 33 + 8 = 0. Suppose 0 = -h - 2*d + t, 4*h + 10 = 5*d + 47. What is the remainder when 63 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -6530975.\nAnswer: 1\/6530975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 276903693 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-3 - -4)) + 0. Let n = o + 7. Let p = 32 + n. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -k + 174, -4*y + 9 = -3. Suppose 0 = 3*f - o - 135 - k, 0 = -3*f - 2*o + 303. Let l = f - 73. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhj when three letters picked without replacement from kzjhzchzeeejjejhchej.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-110)\/(-15) + -7). Solve 2*w = y + 2 - 5, -2*y + v = 3*w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 12*k - 4*t + 34 = 0, -2*k - t + 40 = 0. Suppose 2*z - 48 = 5*a + 15, -30 = -z + 3*a. Calculate the greatest common factor of z and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1504447 and 56?\nAnswer: 12035576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 1872726.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12816)\/2403*(-1 + -1 - (-8)\/7). Solve -d*w - 128\/21*w**2 - 6\/7 = 0.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 105944.\nAnswer: 42377.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -422210*q**2 + q + 3191.\nAnswer: -844420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, l: 2, b: 1, o: 2}. Give prob of sequence lo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -46, -72?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 7*i**2 + 8*i - 6. Let c be (21\/(-9))\/((-6)\/(-36)). Let q = 10 + c. Calculate the least common multiple of 36 and n(q).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 632*m**2 + 3*m + 1. Let d be c(-1). Suppose -3*i + 1293 = -d. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -4. Suppose -f*q = -67 + 13. Let d = q + 0. Calculate the least common multiple of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -993*t + 77740 = -345*t + 260*t + 587*t for t.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**2 - 3*q**2 + 3*q**2 + (7*q - 2*q - 3*q)*(0*q + q + 0*q) - 2*q**2 + 2 - 2 + (-q + 3 - 3)*(-3*q + 7*q - q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - 5*f - 3. Let i be b(-4). Suppose -2*l + u + i = 0, -u = -l + 3*l - 59. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s + 2. Let z be k(-3). Let q = 17 + z. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30751*o - 29018 wrt o.\nAnswer: 30751","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 133, 273, 413, 553, 693?\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.816712 litres?\nAnswer: 8816.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 420 - 259. Suppose 0 = 4*s - 255 - p. Suppose 5*z - s = -l, z - 46 = -2*l + 171. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385383368177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) -3 (c) 1 (d) -473\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (61\/(-4) - -17)*84. Solve -38*m + w = -43 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278215.8l in millilitres?\nAnswer: 278215800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403*k - 408*k + 10 = 0. Is 55615\/19 - 15\/(285\/k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -513*i**3 + 1500*i**3 - 508*i**3 - 500*i**3.\nAnswer: -21*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 10*w + 5. Suppose 8*j - 564 = 4676. Let v = -646 + j. Determine g(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 267827903?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from {i: 1, d: 1, u: 1, r: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-51)\/6*-20 - 4. Let t = v + -87. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o**2 + 2*o. Let k(w) = -138*w - 15. Calculate k(f(l)).\nAnswer: 1242*l**2 - 276*l - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, -19, -0.01, -4, 965?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 9:30 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22.3 - 15. Let y = -7 + o. Let l = 4 + -8. Which is the third biggest value? (a) l (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 9. Let g = 22.45 + -22.85. Which is the nearest to g? (a) 0.4 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3*i*i\/i**(-2\/25))\/(i*i**(2\/17)*i\/(i*i**(-31)\/i*i*i)) assuming i is positive.\nAnswer: i**(-11066\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 1 + 2*w + 4*w**3 + w**3 - w**2. Let y = 6 + -5. Let h be k(y). Solve -h*p = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33 - 17c9?\nAnswer: -1796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1693 + -1675. Suppose 5 = 2*o - 29. Is p greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.2 + -1.86. Let p = o - -5. Let j = p + 2.06. Are j and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -0.7 (c) -3 (d) 22 (e) 0.13 (f) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 0 + 3 - 2)*((-4*d - d + 4*d)*(0 - 5 + 4) + (-3 + 46 + 165)*(-4*d - 6*d + 3*d))*(3*d**3 - 4*d**3 + 2*d**3).\nAnswer: -4365*d**5 - 1455*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -15*v**2 - 9*v - 5. Let r(h) = 14*h**2 + 12*h + 6. Determine -8*d(p) - 6*r(p).\nAnswer: 36*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -54*d - 11. Let j be p(-5). Let s = -127 + j. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 41. Let j be (-14)\/(-4) + m + 6\/3. Sort j, 1, 0, -0.1 in descending order.\nAnswer: 1, j, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 519 divide 8584316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-441))\/(12\/42).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2617 - -2618. Let j be (-8 + 2)*(-1)\/(-3). Which is the nearest to j? (a) 0.4 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 5*m - 2*m)*(-4*m**2 + 0*m**2 + 6*m**2) - 205*m**3 + 101*m**3 + 0*m**3.\nAnswer: -106*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 3 - (-11 + (-3 - -10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -176, -275, -386, -515, -668, -851?\nAnswer: -1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220220222 (base 3) in base 16?\nAnswer: e0c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1205)\/(-3) + (-26)\/39. Suppose -1547 - c = -4*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 5 - 22)*((2 - 2 + 2*g**2)*(3 + 1 - 3) - g + g - g**2 - 6*g**2 - 2*g**2 + 3*g**2 + 66*g**2 - 138*g**2 + 31*g**2) to o*g**2 + i*g + t and give o.\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2 + t**2 + 0*t**2 + 0*t**2 - 5*t. Suppose 2*g = x - 48 + 57, -4*g = x - 27. Determine h(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7097 + -3587. Let a be 4\/14 - v\/182. Let t(m) = -620*m + 20. Let l be t(a). Round l to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -516, -1299, -2090, -2889, -3696?\nAnswer: -4511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6757 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59338*h - 54894.\nAnswer: -59338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7 = 8. Let d(m) = m**2 - 37*m - 160. Let y be d(-4). Suppose -o*l - 4*n - n = 0, -2 = -y*l - 3*n. What is the remainder when l is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -13*g**7\/21 - g**4\/6 - 4*g. What is the third derivative of t(k) wrt k?\nAnswer: -1560*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100354 + -1102542?\nAnswer: -1203340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240788 is divided by 344?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2975*r**2 + 12*r + 4055. Let a(t) = 8924*t**2 + 32*t + 12162. Let m(y) = 3*a(y) - 8*x(y). Differentiate m(o) wrt o.\nAnswer: 5944*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -61, -2\/9, 0.5, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 155?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141.3 + 2529.\nAnswer: 2670.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23107?\nAnswer: 7, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 14) to base 9\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) 1\/7 (c) 7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x**2 - 2*x - 2. Let u be r(3). Let t(d) = -d**2 + 372. Let o be t(-19). What is the highest common factor of o and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3854, 7697, 11540, 15383, 19226?\n\"Answer: 3843*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111001 - 101110010100000?\nAnswer: -101110000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498353999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -42, -8, 26, 60, 94, 128?\n\"Answer: 34*g - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from {q: 3, v: 5, i: 5}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 + 9*b + 5. Let l be m(-4). Calculate the greatest common divisor of l and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 44*m + 205. What is w(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 8268179.5973?\nAnswer: 8268179.0973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, -11, 0.3, -2\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.161? (a) 1 (b) -19 (c) -0.2 (d) -41 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9127, -9291, -9551, -9907?\n\"Answer: -48*d**2 - 20*d - 9059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 20237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbme when four letters picked without replacement from mbem?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/610*360\/(-72).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13792 - 13789. Solve 4*k + t*u + 18 = 0, 2*u + 8 = -2*k - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5)\/u*u)**(11\/5)\/(u\/u**(-2\/7)*u\/(u\/(((u*u*u**(1\/4)\/u*u*u)\/u)\/u)))*(u*u**0)**(9\/13)*u**3\/(u**(3\/8)\/u*u) assuming u is positive.\nAnswer: u**(-1791\/18200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 798768855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -7*g**5\/60 + g**3\/6 + g**2. Suppose -1592 = -6*d - 1562. Let l(s) = 3*s**2. What is d*l(b) + 2*p(b)?\nAnswer: b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.23276 millennia in centuries?\nAnswer: 292.3276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8066591509 + -0.298.\nAnswer: 8066591508.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/27)*f*f**(-2))**(-31))**(-32\/5) assuming f is positive.\nAnswer: f**(-28768\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/103 (b) -18.23 (c) -0.104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**6\/720 - d**5\/15 + d**4\/6 + d**2. Let f(s) be the second derivative of a(s). Let p be f(-8). Which is bigger: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-299)\/(-1449) - (-2)\/9.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.06 and -137.\nAnswer: -137.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 855 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*y + 5*h, -2*y + 5*y + 4*h - 18 = 0. Suppose -y*w - 23 + 43 = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*4*(0 + sqrt(208) + ((sqrt(13) + sqrt(78)\/sqrt(6))*2 - sqrt(13))).\nAnswer: 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 6*j**2 - 18*j + 27. Calculate m(4).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -15*i + 0 + 9\/2*i**2 - 1\/2*i**3. Give s(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110110010110001000 - 10101?\nAnswer: 10110110010101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 10*u. Let w(a) = 3*a**2 - 7*a. Determine w(y(d)).\nAnswer: 300*d**2 - 70*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*y + 105*y - 170 = 0. What is the remainder when y is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 214 - 23. Let f = m - 102. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/3885681 and -22\/61183?\nAnswer: 4029451197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 2*b - 4*b + (-4 + 2 + 0)*(b - 5*b + 2*b) + 0 + 0 + 3*b)*(0*b**3 - b**3 + 2*b**3).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -723490295?\nAnswer: 723490300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**5\/2 + 1101*q**4 + 40365*q**3\/2 + 91368*q**2 = 0 for q.\nAnswer: -9, 0, 752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 4*r. Suppose z + 4*q = -4*z + 37, -29 = -4*z - 3*q. Suppose -2 - 3 = -4*k - j, -z = -2*k - 3*j. Solve -x - r = k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128\/5*j + 2\/5*j**2 + 0.\nAnswer: 2*j*(j + 64)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*b + 1692. List the prime factors of b.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22669 + 5131 = -1112*j for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -156, -219, -284, -351, -420?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 2\/9, 1, 9, -37?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 2*l + 93. What is the remainder when s(0) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 13.09. Let i = n - 2.09. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 529754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3799, 3804, 3809, 3814, 3819, 3824?\n\"Answer: 5*p + 3794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j = 299, -168*j + 172*j = 2*l + 92 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 121\/3 + -40. Factor -2\/3*b**2 + 0*b - 1\/3*b**3 + n*b**4 + 0.\nAnswer: b**2*(b - 2)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*l + 319*l - 35*l - 97*l.\nAnswer: 402*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oott when four letters picked without replacement from ttogyyayaoyygyyyytgy.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 7:59 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18153330 and 232735?\nAnswer: 18153330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162\/9720*-910*(45\/14)\/(-5).\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2989890613?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -174983 >= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 6:46 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**2*k**2*x**3 + 2*j**2*x**2 - 27*j*k**2*x**3 + 16*j*k*x**2 + k**2 + 2*x**2 wrt x?\nAnswer: 6*j**2*k**2 - 162*j*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13111965?\nAnswer: 3, 5, 291377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 + 15266?\nAnswer: 15333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1895*n + 15335 - 77870 = 0 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2789, 19399, 64493, 152315, 297109, 513119?\nAnswer: 814589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436*n - 548 = -2534 - 1502 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-1) - 1)*-1. Let r be (25 + -7)*1\/2. Suppose -r*m + 4 + 14 = 0. Solve g = -2*l + m*j - 4, j = 3*l - 0*j + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**7\/84 + 4*s**6\/15 + 37*s**5\/20 + 29*s**4\/6 + 79*s**3\/12 + 5*s**2 - 158*s. Factor g(n).\nAnswer: -(n - 20)*(n + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16521.09200694 + 16521.49. Let z = -0.398 + s. Round z to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 198*c**2 - 110480*c - 2224. Give y(558).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.004, 46484, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/3496 and 7\/456?\nAnswer: 10488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24 or -4.9088?\nAnswer: -4.9088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147, -349, -609, -957, -1423, -2037, -2829?\nAnswer: -3829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(33)\/sqrt(3) - sqrt(11)) + 5 + sqrt(99) + -1 + ((sqrt(99) - -1*sqrt(99))*-3)\/(sqrt(108)\/sqrt(3) + sqrt(9)))**2.\nAnswer: 8*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000001010010 + 101?\nAnswer: 111000001010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 y when two letters picked without replacement from {c: 1, m: 2, a: 2, y: 1, n: 1, b: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 9:01 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**4 - t**2 + 7*t**3 + 2 + t**2 - 4*t**4 as i*t + l*t**2 + x*t**4 + q + m*t**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/69328 and -113\/1099344?\nAnswer: 7695408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**3 + 0*h + 0*h)*(-11 + 17 - 9)*((4 + 3 - 5)*(5 - 5 + 1) + 1 - 2 + 3) to r*h**2 + o*h + d*h**3 + t and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**3\/3 + 1181*k**2\/3 - 19169*k\/3 - 6783 = 0?\nAnswer: -1197, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -9 + (-54 - -61)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/j**5)*j*(j**(2\/9)*j*j)\/j)**(-6\/13))**(-2\/11))**(-3\/35) assuming j is positive.\nAnswer: j**(-4\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 7*p - 4. Let m be (p\/1)\/1 - -319. Suppose m = 4*u - 296. Calculate the greatest common factor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1567*a - 12703 + 5090 = 14325 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 + 16*f - 47*f**2 - 34*f**2 + 14*f + 19*f**2 wrt f?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 + 4\/(1 + -2). Let j be b\/(-3*2\/(-4)). Is (-4)\/(-8) + 206\/j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 8. Suppose 3*x = 5*m - 4 + f, -3*x - 5*m = -4. Suppose 5*q - 76 = 24*q. Which is the nearest to 1? (a) -5 (b) q (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67161 or 67250?\nAnswer: 67161","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - d7?\nAnswer: -d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 1817\/8, 0.5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 4*r**2 + r. Let l be g(3). Let o(u) = u**3 + 8*u**2 + 4*u - 2. What are the prime factors of o(l)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-6))\/((-1)\/(-2)). Calculate the greatest common divisor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 - 10*m**2 + 18*m - 26. Let q be c(6). What is the greatest common divisor of 110 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 2*o - 74, -o + 35 + 30 = 2*f. What is the greatest common divisor of 119 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 8*p**2 - 13*p + 12. Let n be g(10). Suppose -6 = -k + 2*s, 9*k - 4*k + 3*s - n = 0. What is the highest common factor of 266 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 176, 4, 23.\nAnswer: -2, 4, 23, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - -1)\/12)\/((-12)\/(-216))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 603693 and 3084.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 82.61665 days?\nAnswer: 7138078.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 3*c**7\/280 + 7*c**6\/60 + 17*c**5\/40 + 3*c**4\/4 - c**3\/6 - 50*c**2. Let f(d) be the first derivative of k(d). Factor f(g).\nAnswer: 3*(g + 1)*(g + 3)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -436*z**2. Let t(q) be the third derivative of q**5\/20 - 665*q**2. Calculate t(k(w)).\nAnswer: 570288*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 8*k**2 - 30*k + 243. Let j be q(8). Let l = 9 + -6. Solve -3*g - v - 8 = -0*g, -j*g = -l*v - 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1448860*d**4 - 92227*d - 1 wrt d?\nAnswer: -17386320*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 12:00 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111*q**5*r**3 + 321*q**5 - 167*q**2*r**3 + 2*q*r**3 - 6*q*r + 4*r**3 + 1 wrt q?\nAnswer: 6660*q**2*r**3 + 19260*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8*k = 0. Suppose 2*u + u - 6 = k. Suppose -2*v + 86 = -5*h, 43 - 129 = -u*v + h. What are the prime factors of v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3\/5 + 14*d**2 - 148*d\/5 = 0. Calculate d.\nAnswer: -37, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + -6*sqrt(152)*3)\/sqrt(8).\nAnswer: -17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/(u\/(u*u\/(u*u**(-2\/43))))*u*u*u**(-3\/13) assuming u is positive.\nAnswer: u**(2133\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42498 by -2343.\nAnswer: -14166\/781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1848 times 3296\nAnswer: -609.1008","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is -12 less than 31.52?\nAnswer: 43.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4212820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 at most 2013295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*a - 125 - 361 = 0 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 6. Let d be y(4). Let r be 5\/(-2) + 1\/(-2). Sort d, -7, r in ascending order.\nAnswer: -7, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s**3 + 3*s**2 - 3*s + 3. Let b(t) = -34*t**3 - 14*t**2 + 14*t - 14. Calculate 3*b(j) + 14*g(j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*k - 66 = -360*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 9*l + 21. Let n(v) = 1. Let f(i) = 6*n(i) - z(i). Let s be f(-6). Suppose -s*d + 48 = 3*d. Solve -2*k - d = 4*g, 15 = 2*k - 5*g + 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*-1 + -2 - sqrt(68)) + (-5*(sqrt(17) - (sqrt(17) + 1)) - -1*sqrt(1088)))**2.\nAnswer: 24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75835, -157025, -238213, -319399?\nAnswer: -400583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -13. Let x be (-2 - -3) + q - 2. Let h(k) = -k**3 + k + 8. Let u be h(0). Solve -u = -x*g - g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/9 - 48866*g**3\/9 - 44216490*g**2 - 119988800550*g + 240154510500.\nAnswer: -2*(g - 2)*(g + 8145)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {t: 3, e: 9}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2185\/(-11362))\/((-2400)\/585)?\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*(2 + 1*sqrt(242)*1*3 + 0) + 4)**2.\nAnswer: -264*sqrt(2) + 8716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/34234750 and 111\/32450.\nAnswer: 34234750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, 5, 78, -31.\nAnswer: -31, -9, -2, 5, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1808.96 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 9 (b) -0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.14 + 2.7. What is h rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39092808.\nAnswer: 2, 3, 1628867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3 (b) -1\/3 (c) 7 (d) -4.8 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -9*i**5\/5 - 2*i**3\/3 + 64*i**2 + 34. Find the second derivative of o(d) wrt d.\nAnswer: -108*d**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*((d*d**(-1\/16))\/d)\/d*d))\/d**(-6\/5))**(1\/7))**(1\/4) assuming d is positive.\nAnswer: d**(101\/2240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 490 + -484. Let q(c) = 59 - 118 - 11*c + 58 - 2*c**2 + 4*c**2. Calculate q(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in 1\/4, 0.4, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 31*z + 16. Calculate the remainder when 59 is divided by s(31).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1 + (0 + 0 - 1)*(1 - 1 - 2) + 0 - 3 + 2 + 0 - 2 - 1)*(-1 + 4 - 1)*(5*m + 8*m - 10*m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 3, h: 3, l: 1, s: 3}. Give prob of picking 1 s and 2 b.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - 4 - 8*b + 0*b**3 + b + 4*b**2 + b**3. Is r(-4) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-27)*((-9)\/(-10))\/3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 0*r + r + 8*r + 1 + 5*r. Is t(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -8*a + 30. Suppose 2*l - 188 = -178. What is p(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (3 - 6) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0770522591*-5.\nAnswer: 0.3852612955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35292345\/16 or 2205771?\nAnswer: 2205771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 333 divided by -9\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -160.3 + 160. Which is the closest to -1\/4? (a) 2 (b) m (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333683 divided by 7?\nAnswer: -47669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -62\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 6*z**2 + z + 1. Let t be (-5 - 33\/(-21))*-14. Let n = t + -54. Determine p(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 + y**4 + 2*y**4 + (-33*y**2 + 8*y**3 + 33*y**2)*(3 - 3 - 2*y).\nAnswer: -15*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -663*h**2*r**3*s**2 - 14*h**2*r**2 - h**2*r*s**2 - 3*h*r**2*s wrt r.\nAnswer: -3978*h**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60490540?\nAnswer: 2, 5, 11, 274957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37\/50 + -9\/25. Let x be 4550*(-2 + 4 - 3). Let c = 40888\/9 + x. What is the common denominator of c and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11925 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10702?\nAnswer: 2, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -94079*k**3 + 2*k**2 - 61*k - 63. Is v(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -241\/5 - -48. Let o = 2.77 + -3.091. Let u = 0.079 - o. Which is the biggest value? (a) u (b) -1.5 (c) g (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 159*z. Let x(r) = r - 4186255. What is x(m(b))?\nAnswer: 159*b - 4186255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000527343 to 6 dps.\nAnswer: -0.000527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - 2 - (216 + -71 + -103).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)\/(sqrt(4) + sqrt(4)*2))**2 - sqrt(13)) + (sqrt(13) - sqrt(52)\/sqrt(4) - sqrt(13)) + 0 + sqrt(13).\nAnswer: -sqrt(13) + 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1651750 and 1684785?\nAnswer: 84239250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*t + t. Suppose -2*l + 0 = 2. Let d be 10\/((-4 - l) + 10). Which is smaller: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m**2 + 33*m**3 - 24*m**3 + 44*m**5 - 9*m**3 - 7 wrt m?\nAnswer: 2640*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x + 2. Let m(j) = 7*j - 5. Let c(h) = 4*m(h) + 9*p(h). Let y(w) = w + 1. What is the remainder when c(-2) is divided by y(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - 5*h + 3*h + (-2*h + 2*h + h)*(0 + 1 - 2) - 4*h - 4*h + 3*h + (-6 + 5 + 5)*(0*h + 3*h + 0*h) + 2*h + h + h - 5*h - 3 + 3.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, a: 1, c: 2, x: 1, g: 4, y: 4}. Give prob of picking 1 m and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162149880.\nAnswer: 2, 3, 5, 1351249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from zwwbwzzzwwbz?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*n**4 + 31\/6*n - 17\/2*n**3 - 23\/6*n**2 - 1.\nAnswer: (n - 6)*(n + 1)*(3*n - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*c + 19 - 45, 3*c + 3 = -3*o. Let t(m) = 12*m + 16*m + 16*m + 1 - 56*m + 10*m. Determine t(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 73*j**4\/2 - 20*j**3\/3 - j**2 + 5. Let q be r(-10). What is q rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from {x: 2, q: 3, e: 5, m: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + p + 13 = 0, -7*p - 14 = -4*t - 5*p. Factor 0*c + 0 + 0*c**2 - 1\/2*c**4 + 0*c**t.\nAnswer: -c**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20145*n + 547*n + 1 + 761*n - 3759*n.\nAnswer: -22596*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 262 + 983. Suppose 0 = -5*r - 4*j - n, -r - 4*j = -0*r + 233. Round r to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/1200 and 43\/216.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 1023486960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 32 - 27. What is the third smallest value in -1\/3, l, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = c, 4*c + 10 = 3*a - 58. Suppose -a = -4*k, 0*k = -5*t + 2*k + 835. Let j = t - 104. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 682*i**2 + 264*i + 176. Let y(f) = 39*f**2 + 15*f + 10. Let x(p) = -5*u(p) + 88*y(p). Let j(q) = 47*q**2. Give j(x(r)).\nAnswer: 22748*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -19 - (-6 + 7 + -1 + -11)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 - 20. Let a = z + 88.957. What is a rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 0*u**3 + 0*u**2 - 5\/42*u**7 + 0*u**6 + 0 + 0*u**5 - 1\/4*u**4 + 10*u. Find the third derivative of b(t) wrt t.\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -101?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3100887 by -28.\nAnswer: 3100887\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1980 by -11.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 y when three letters picked without replacement from {i: 2, k: 8, r: 1, y: 9}?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -571*h**6\/3 + 76*h**2 - 5733*h. What is the derivative of i(q) wrt q?\nAnswer: -22840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346*c - 1469*c + 8558 + 13222 = 0. Find m such that 0 + 98*m + 8*m**4 - c*m**3 - 2\/3*m**5 - 280\/3*m**2 = 0.\nAnswer: -3, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002210 + 0?\nAnswer: 2002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.17 or -4.1?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**14\/(d**(7\/4)\/d))\/(d**(-13)*d**(-3)))**(2\/3) assuming d is positive.\nAnswer: d**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-8\/3)*q*q))**(40\/3)\/((q\/(q\/q**(2\/127)))\/q**(2\/63)) assuming q is positive.\nAnswer: q**(177928\/8001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -858 + 18873\/22. Calculate the common denominator of b and ((-3)\/42)\/(12\/(-426)).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 118 = 28. Is 4\/y + 4797\/81 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c + 5*c - 679 + 679. Let g(r) = -643*r**2. What is g(u(s))?\nAnswer: -643*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10288?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1943*n + 294*n**5 - 1943*n + 876*n**2 + 2*n**6 wrt n.\nAnswer: 240*n**3 + 17640*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211015 to the power of 1\/2, to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 12 - 4. Let k = 45 + -41. Suppose -2*g + 4 - 2 = 0, 11 = k*r - 5*g. What is the remainder when h is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316653 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**2\/2 - 2*j. Let d(o) = -3. Suppose 3*p - 7*p = 28. Let h(x) = p*y(x) - 2*d(x). Let v(a) = -a. Give h(t) + v(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 66.9047279+3\nAnswer: 69.9047279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 6*x + 7. Let g be j(-6). Let u = -2 + g. Solve u*a + 2 + 3 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 73561*o**2 - 1251238?\nAnswer: 147122*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -235566, -235570, -235574, -235578?\n\"Answer: -4*q - 235562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 3*s**2 - 22*s - 43. Determine h(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.023*-342.\nAnswer: 7.866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Let p(o) = 11 - 27*o + 8*o + 17*o. Let y be p(4). Sort 4, x, y in decreasing order.\nAnswer: 4, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*m**3*q - 2*m**3 - 41*m**2*q**3 + 1701*m wrt q.\nAnswer: 12*m**3 - 123*m**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w - w)*(4 - 4 - 1) - 2 + 2 - 2*w + 0*w + 2*w - w + (4*w + 0*w - 2*w)*(-2 + 5 - 2).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 12:52 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 260484024 divided by -172\nAnswer: -1514442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19, 5, 1361, -0.4, 0, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -0.5. Let g = 20.5 - a. Let t = 19.3 - g. Put -1, t, -3 in descending order.\nAnswer: t, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 787.5 + -800.5. Which is the closest to -0.2? (a) -5 (b) 2\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**6\/2 - 27*d**5\/5 - 27*d**4\/2 + 4*d**3 + 36*d**2 - 159. Suppose q(f) = 0. What is f?\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, o: 3, u: 4, z: 3, c: 5}. Give prob of sequence ucuo.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 3*k + 20. Calculate y(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16e - -37?\nAnswer: 1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - 0) + 33 + -70 - -32?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) -1 (c) 242 (d) 0.07 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1868816 to the power of 1\/2, to the nearest integer?\nAnswer: 1367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 3*b = 35, -15*n + 3*b + 5 = -14*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iilimsmsom. What is prob of picking 1 m and 1 s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**2\/7 - 167131782*i\/7 + 167131779\/7 = 0 for i.\nAnswer: 1, 55710593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -81*u**3 + 113*u**2 - 6*u + 12. Let x be -2*-3*(-2)\/36*3. Let g(m) = m - 2. Let h(l) = x*b(l) - 6*g(l). What is the third derivative of h(i) wrt i?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.000925 from 0.2.\nAnswer: 0.200925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -147606 divided by -6\nAnswer: 24601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2284 - -987. Round l to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(21\/28 - -1) - 795. Which is bigger: q or -787?\nAnswer: -787","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*w - 408 = -3289, 5*c - 2953 = -6*w. Is c a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155.74 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4)\/((-117)\/468)*((-1185)\/15)\/(-1)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25092 is divided by 299?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(136) - (5*sqrt(136)*2 - sqrt(136))))\/(sqrt(16)\/sqrt(32) - sqrt(8) - (sqrt(8) + sqrt(8) + (sqrt(72)\/sqrt(3))\/sqrt(3) + sqrt(8) - sqrt(8)))*-1.\nAnswer: -64*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-21))\/((-17)\/5593). Differentiate -28*r**2 + 6*r**3 - d + 7*r**4 + 13*r**2 + 3*r**2 - 6*r**3 wrt r.\nAnswer: 28*r**3 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(6480) + (sqrt(6480) - -4*-1*sqrt(6480) - sqrt(6480) - sqrt(6480)) - sqrt(6480))\/(sqrt(90)\/(sqrt(40)\/sqrt(4)*-3)))**2)*4.\nAnswer: 647984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 4*v - l, 0 = l. Differentiate 3 + v - 6 + f**4 wrt f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 46*k**3 + 8*k**2 + 3*k - 3. Let c(a) = -46*a**3 - 9*a**2 - 2*a + 2. What is 3*c(m) + 2*n(m)?\nAnswer: -46*m**3 - 11*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66494832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -514\/7 + 1766\/21. Let x = 0 + 3. Solve 20*c**x + 104\/3*c**2 - o - 16*c = 0.\nAnswer: -2, -2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**2*u*u)**(1\/6) assuming u is positive.\nAnswer: u**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2*g**4 - g)*(-1 - 8 - 3*g + 4*g).\nAnswer: 2*g**5 - 18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/2 + (-22686)\/2388.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*a + a + 0*a)*(3*a**2 - a + a) - 45*a + 37*a - 2*a**3 + 0*a**3 as s*a**2 + r*a**3 + w + p*a and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(2\/29)*i)\/i)\/i)**(1\/16) assuming i is positive.\nAnswer: i**(31\/464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + 2*v**3 - 4*v**3)*(-4*v**2 + 4*v**2 - 4*v**2) + (-6*v + 6*v + 3*v)*(-109*v + 15*v**4 + 109*v + (-v - 1 + 1)*(-v**3 - 4 + 4)).\nAnswer: 52*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/21 and -65\/41552?\nAnswer: 124656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48409 * -0.2.\nAnswer: 9681.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24451145*5.\nAnswer: 122255725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 12:46 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4109.658 - -9618.481. Let l = -13727.90900023 + w. Let n = 0.23 - l. Round n to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -1212110000122211?\nAnswer: 1212110000122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 30 + 10. Suppose -2*r = 3*r - l. Solve -1 = -4*y + 5*m + 15, -r = -y + m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -80, -81, -82, -83, -84?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738 is divided by 63.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/3 - 83\/(-3). Suppose i = -h - 1, -1 = -4*i - 5*h + 6*h. Solve -q + 2*q - 5*g = -a, i = -2*q - g + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5810323 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 8*z**2 + z + 11. Let h be d(-8). Let x = 532 - 296. Suppose -k = -h*i + x, 2*i + i - 233 = 4*k. What is the remainder when i is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.21 - 6.21. Which is the smallest value? (a) -5 (b) -5\/6 (c) 2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/12 - ((-4785)\/(-1044) - (-20)\/(-6)))*-24.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 0 - (-35)\/5. Suppose -19*f = -8*f - 22. Solve w - f = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19681389061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-10)*m**(-1)\/m)\/(m*m**(-1\/4))**(-34) assuming m is positive.\nAnswer: m**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 144 = -116, 2*h - 11 = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2716457, -2716436, -2716401, -2716352, -2716289, -2716212?\n\"Answer: 7*z**2 - 2716464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 + -48. Calculate the remainder when k is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1420 = -30*v - 41*v. Calculate the remainder when 819 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-38) - 219132\/228. Let t = a + 1448. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 209 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 148.73 + -73.73. Let l = -0.16362357 - -75.16219357. Let u = l - d. What is u rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 14. Suppose t = 5*p - 1, 0 = 4*t - w*p - 5*p - 26. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3452 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 35\/4?\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((sqrt(68) - sqrt(68)*2 - sqrt(68)) + sqrt(68))*2 + (-1*-1*sqrt(68) - sqrt(68)))\/(-3*sqrt(324)*-1 + sqrt(324)))**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2330.\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 10 = -0. Suppose -2*x + 1 = m*i - 18, -2*i + 10 = 0. Let u(q) = -q**2 - 5*q + 2. Calculate u(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 5:16 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1408731, -1408731, -1408729, -1408725, -1408719, -1408711, -1408701?\nAnswer: -1408689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -55 - 49 + 90 + 0*j - 2*j + 0*j. Let f(s) = s. Let n(d) = 4*d. Let l(q) = -6*f(q) + n(q). Determine l(h(m)).\nAnswer: 4*m + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-2*(-60)\/24?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 241*y - 457*y + 5 - 413*y**2 + 216*y as t*y**2 + g*y + m and give t.\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1150, 4586, 10312, 18328, 28634, 41230, 56116?\nAnswer: 73292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r + r + 2*r + (r + 3*r - 2*r)*(1 - 6 + 4) - 2*r + r - r + (-2*r + 6*r - 2*r)*(-3 + 1 + 4) + 0 + 0 + 2*r + r + 6*r - 2*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -268 - -267.9. Which is the fourth biggest value? (a) -3\/5 (b) i (c) -52 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-12) + 4\/(-6). Let x be 0 - 6\/(-33)*-1. Suppose 0 = 2*q - 2. Which is the second smallest value? (a) d (b) x (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16386 - -196511\/12. Find the common denominator of y and 69\/2*(12 - (-3249)\/(-270)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/18*(-3)\/(-42)*-6.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -278 + 0.0625100634736?\nAnswer: -277.9374899365264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 8*a + 7. Let j(b) = -b**3 + 3*b**2 + 4*b + 4. Let x be j(4). Suppose -6 = -x*o - 38. Is v(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-7)\/((-14)\/4). Suppose l - p = 2 - 1, -l - p + g = 0. Suppose 2*j - 7 = f, -l*j = 2*f - 0*f - 7. Solve 2*m = -2*o, -j*o = -2*o - 2*m + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(84\/(-8)) + (-92)\/28?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 + 3 - 3 + (-2 + 4 + 0)*(17642 - 2*l + 5*l**2 - 17642).\nAnswer: 11*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 7:41 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -45, -54, -69, -90, -117, -150?\n\"Answer: -3*h**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 329 + 25*r**2 - 330 - 25*r**2 - 196*r**3 as u*r**3 + a*r + d*r**2 + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-4)*(-18)\/(-15) + 21. Let p = -11 + m. Suppose 3*o + u = p, -3*o + 2*o - 5 = -2*u. Is 5\/2 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4159 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l\/(l*l**(6\/13))))\/l**(-9))\/((l*l**(5\/3)*l)\/(l\/(l**(-1\/6)\/l))) assuming l is positive.\nAnswer: l**(233\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**2 - 3*f. Let q(m) = m**2 + 13*m + 28. Let j be q(-10). Let r(t) = 13*t**2 + 10*t + 1. Give j*r(b) - 7*a(b).\nAnswer: 2*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2505342, -2505331, -2505320, -2505309, -2505298?\n\"Answer: 11*i - 2505353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*l = 5*n - 6, -24 = -4*n - 3*l. Let m be (32\/n)\/(-4)*-3. Suppose 263*v = -66*v + 38 + 949. Solve -4*p - 2 + v = -5*j, 4*p - m*j = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2994 times -9801\nAnswer: 29344194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 364 = -5*m, -2*m + 50 = -5*b - 101. Let d = m - 51. Let w = 38 - d. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2304.8 + -0.4.\nAnswer: 2304.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 273380 to the power of 1\/2, to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/9765 and -53\/105146265.\nAnswer: 315438795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2 = 5*j + 1, 0 = 3*j - 5*h + 5. Suppose -m + t = 12, m + 10 = -j*m - t. Let i = 14 + m. Solve -13 = 4*v + 2*c - 5*c, -i*c = 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 12788 = 2*l - 12791, 7*l = -k + 66 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 0.2 (c) -0.3 (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**2\/7 - 15886972*h\/7 - 95321796\/7 = 0.\nAnswer: -15886966, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6968221?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxpbppxppbpbp. What is prob of picking 2 b?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1013004*k**3 - 5*k**2 + k. Suppose -4*b - 15 = -19. Let x be s(b). Round x to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1896 or -1890?\nAnswer: -1890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/33 + 3\/22. Let n = -15.8 + 14. Let g = 1.6 + n. Which is the closest to 2\/7? (a) g (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9528 + 13260. What is the remainder when b is divided by 178?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -36, -36, -38, -42, -48?\n\"Answer: -j**2 + 3*j - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 - 2*h**3 - 20*h**2 + 8*h + 48.\nAnswer: 2*(h - 3)*(h - 2)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13170 and 16332556?\nAnswer: 244988340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3355072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 23*w**2. Let j(g) = 1150*g**2. Let f(m) = -6*j(m) + 299*r(m). Let y(b) = 2*b - 5*b + 0*b + 2*b. Determine f(y(k)).\nAnswer: -23*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 135, -3, 1 in ascending order.\nAnswer: -3, -2, 1, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 0 - (1 + -23). Let b be (1\/1)\/(8\/136). Let j be 134\/2 + (b - 18). Calculate the highest common divisor of v and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1769 = 2*l, -3*x + 2*l + 1071 = -0*l. Suppose -3*d - r + x = 0, 0 = 5*r - 4 - 1. What are the prime factors of d?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 + 44. Let u be -12*(z\/4 + 3)\/2. Solve -3*q + f = -8, 0 = -4*q + 4*f - 9*f - u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 2*b**2 + 2*b + 2. Let i be g(-3). Let y = -8 - i. Suppose 0 = 8*f - 3*f - 75. Solve 5*v = -f, 5*o + y*v - 4 = -9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 4*x**2 + 7*x + 5. Let r be u(-5). Let z be 204\/34 - (33\/(-2))\/(-3). Which is the third biggest value? (a) z (b) r (c) 2 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, k: 5, y: 3, j: 3}. Give prob of sequence jyy.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -326 - -a?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (285 - 301 - (1 - (5 + 0))) + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4533, 4538, 4543, 4548?\nAnswer: 4553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**3 + 31*j**2 + 17*j + 41. Let m(y) = y**3 - 15*y**2 - 9*y - 20. Let r(i) = -2*c(i) - 5*m(i). What are the prime factors of r(-10)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**4\/4 - 143*b**3\/2 - 213*b**2 + 2*b + 2209. Let y(p) = 0. Calculate p.\nAnswer: -142, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-10)\/(-24)) - (-306)\/(-153)) + 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 6:24 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkrykwyky. What is prob of sequence kr?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + 1 + 2 + -5 + 4.\nAnswer: 2 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82815 + 82815 + 3*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*x - 7, 19*f + x + 4 = 21*f. Which is smaller: f or 11\/380?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 293, -0.26, 7?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 347.5 and 0.02.\nAnswer: 6.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1, -0.2, 5, 159?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6971, -7389, -8505, -10667, -14223?\nAnswer: -19521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -19183488?\nAnswer: -1342844.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 25*q**2 - 55*q - 24. Let v be k(-27). Suppose 4*l = 2*l - v*l. Solve 4\/9*z**3 + 0*z**2 - 10\/9*z**5 + l*z - 2\/3*z**4 + 0 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51*m**3 + 150*m**2 - 477*m - 226300118.\nAnswer: -153*m**2 + 300*m - 477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 1752?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89948 and 1393.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2797*q**2 + 1457*q**2 + q + 1502*q**2 as s + n*q + d*q**2 and give d.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -201 and -648180.06511?\nAnswer: 647979.06511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36750 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3299*g + 14. Let n(a) = a + 19. Let q be n(-9). Let t be i(q). Let v = t - -22976. What is v rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -90.79.\nAnswer: -88.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13662 - -70.\nAnswer: 13732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**6\/10 - 3*r**5\/20 - 7*r - 3. Suppose k(j) = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 3753340\nAnswer: 3753340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*o + 48 = -31*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.43 + 0.39. Let l = b + 1.0331. What is l rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 525*q - 26. Let b(z) = 4*z - 3. Calculate b(s(r)).\nAnswer: 2100*r - 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (7 - (0 - -6 - -4 - -16) - -11)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1735983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 189202907 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*2*(-13)\/26 - 1. Let w = -0.04 - -0.44. What is the nearest to r in 1, -1\/5, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*6 - -2*(sqrt(26)\/sqrt(2) + sqrt(13)) - 3*((1*sqrt(130))\/sqrt(10))**2.\nAnswer: -39 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -11*j**2 - 1\/4*j**3 + 139\/4*j - 47\/2 = 0.\nAnswer: -47, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*10\/880*2.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {l: 1, f: 3, h: 7, t: 1, u: 2}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 133, 135, 135, 133, 129, 123?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*j + 119 - 56 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -8*w**2 + 46*w - 28. Give d(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 12*x - 2*x**3 - 20 - 9\/2*x**2. Let o(g) = g**2. Let h(k) = -a(k) - 3*o(k). Factor h(l).\nAnswer: 3*(l - 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -15*2868\/(-27)*(-9)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1777 (base 9) to base 16.\nAnswer: -556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3 = 0, -3*b + 2*b + 6068 = -5*l. Let o = b - -3470. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 4)\/(3\/23). Let o be (3 - (3 + 0))\/(-1). Does h = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 k when three letters picked without replacement from khkkhhhhhkkhhkhhky?\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24020459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97458*x + 409*x**3 - 97458*x + (5*x**3 - 4*x**3 - 2*x**3)*(-1 - 2 + 2) - 2*x**3 - 4*x**2 + 4*x**2 to the form y*x**2 + d*x**3 + c + a*x and give d.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x. Let r(k) = 2*k + k**2 - 3*k - k. Let p(s) = -r(s) - 2*t(s). Let z(d) be the first derivative of 2*d**2 - 1. Determine p(z(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(24)\/sqrt(8)))\/(sqrt(3) + (-4*sqrt(36))\/sqrt(12)) + (1 + (sqrt(11)*-1 + sqrt(11))*3 + sqrt(11)*-4*-1)**2.\nAnswer: 23*sqrt(11)\/3 + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 22923*j**3 - 11450*j**3 - 11471*j**3.\nAnswer: 2*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, -3\/2, 1\/109, -2\/3, -2\/13?\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 4, -28, -82, -164?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-14))\/(6\/21). Let h(s) be the first derivative of -s**3\/3 - 9*s**2\/2 + 2*s - 1. Let l be h(-7). Calculate the highest common factor of l and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -3*x - 6, -8*n - 3*n = -13*n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 8. Let y be h(-5). Is y*(-3 + 0 + 4) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjrjjvsvgvjsvvvr. What is prob of picking 1 r and 2 v?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**5\/6 - 65*o**4\/2 - 3719*o**3\/3 - 4574*o**2 - 13340*o\/3 = 0.\nAnswer: -145, -46, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10182 is divided by 104.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 13*u. Suppose 5*z + 3 = 4*y + 33, -5*z = 3*y - 30. Let w(m) be the third derivative of 15*m**2 + y*m + 0*m**3 + 1\/12*m**4 + 0. Give j(w(b)).\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -735*k**2 + 416011*k\/2 - 283\/2 = 0. Calculate k.\nAnswer: 1\/1470, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1925*v**5 - 103516*v**3 - 396919697*v**2?\nAnswer: -115500*v**2 - 621096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.69 + 0.31. Let p = 14 - b. What is the nearest to -1 in 0.5, -5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j + 6 = 0. Suppose 5*g - j - 7 = 0. Suppose 0*y - 4*y - 28 = -3*f, -g*y = -2*f + 20. Calculate the smallest common multiple of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i = -4*c + 4, -c + 7 = 3*i. Suppose b + 16 = 6*b + i*d, -d = 5*b - 22. Let z = -2 + b. Sort 2\/9, -0.3, z in descending order.\nAnswer: z, 2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 11) + (-9 - -2) + 19.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjccjnlgg. What is prob of sequence clm?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + 29. Which is smaller: c or 72?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266630953.\nAnswer: 47, 5672999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, s: 2}. Give prob of picking 3 y and 1 s.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/922? (a) 0.5 (b) -0.5 (c) -1 (d) 916.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 at most as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -5*s - 100. Calculate the remainder when 78 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Let v = q + -5. Let j = -4.97 + -0.03. What is the second biggest value in 2, v, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1307117 and 26989.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 + -42. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 2*g**5 - 2*g + (2*g**4 - 4*g**4 + 4*g**4)*(-4*g - g + g) + 3*g**5 - 4*g**5 + 0*g**5.\nAnswer: -7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + 14. What is the remainder when y is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -295*8*-3*(-7)\/42. List the prime factors of 16\/(-4) + j\/(-5).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2. Let i(k) = k - 191. Let x(u) = -48. Let l(t) = -2*i(t) + 9*x(t). Determine y(l(o)).\nAnswer: -4*o**2 - 200*o - 2500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*u - 35*u - 2*w + 52 = 0, 5*u - 115 = -2*w. Solve 0 = -9*g - 39 + u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 59828, 59852, 59878, 59906, 59936?\n\"Answer: s**2 + 21*s + 59806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**5\/20 + 7*z**4\/12 + 5*z**3\/3 - z**2\/2 - 15*z. Let h be w(-5). Which is smaller: -16\/13 or h?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 236 and 8.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -5\/2 (b) 3 (c) 8 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.104 + 1.104. Sort 0.3, 141, q.\nAnswer: 0.3, q, 141","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y = -6. Suppose -23 = 4*s + y*q, 0 = -4*s + 3*q + q + 12. Let f = s + -1. Put f, -5, 0 in descending order.\nAnswer: 0, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24726983419454.3 and 0.3.\nAnswer: -24726983419454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*d - 63. Let b(u) = -u**3 - 6*u**2 + 8*u - 5. Give b(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.547028 to 2 decimal places.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-4)\/(16\/(-190))*(1152\/45 - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*x - 5*x + 1182510 = 0. What is x rounded to the nearest one hundred?\nAnswer: 18800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 14*l**2 + 30*l - 44. Let v(b) = -5*b**2 - 10*b + 15. Let c(f) = -6*n(f) - 17*v(f). Let w be c(9). Let m be 0\/2 + 0 + w. Solve 1 = a - m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*v**2 + 127*v**2 - 88*v**2.\nAnswer: 234*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**4 - b**4 + b**4)*(1 - 1 - 2*b).\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 20, 1 in descending order.\nAnswer: 20, 8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -482711 and 1.41.\nAnswer: -680622.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -3*y**5\/20 - y**4\/24 - y**3\/6 + 17*y**2 - 33. Let q(w) = -37*w**2 - 5*w - 4. Calculate -9*p(n) + 2*q(n).\nAnswer: 7*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4825968 divided by 13?\nAnswer: 4825968\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -157347310, -629389239, -1416125788, -2517556957?\n\"Answer: -157347310*v**2 + v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = -8*r. Suppose -3*a + 51 = 12. Suppose 3*u - a = -4. Put -3, r, u in decreasing order.\nAnswer: u, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-23)\/(y\/(y\/y**2)))**(-8) assuming y is positive.\nAnswer: y**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13336267 to the nearest integer?\nAnswer: 3652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 + 3*k**3 - 6*k**3 + (-4*k + 2*k + 0*k)*(-3*k**2 + 4*k**2 + k**2) + (-2 + 3*k**2 + 2)*(3*k + 5*k + 2*k).\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10783447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + 0 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/10 - 27\/(-5))*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45496415 by -115.\nAnswer: -395621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.038 + -13.9161\nAnswer: -13.9541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.8448 to zero dps.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 337106 to the power of 1\/2, to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -13*a - 213. Let y be (1 - 4) + 4 - 6. Let v(s) = -s**2 - 11*s + 2. What is the remainder when r(-21) is divided by v(y)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s + 48*s**2 - 290*s**2 - 5*s - 239*s**2.\nAnswer: -481*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 3*q**2 + 6*q**2 + (46*q + 12*q + 20*q)*(-257 - 6*q + 257).\nAnswer: -462*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -112, -1\/4, 2\/3, 4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, h: 2, q: 6, w: 1, n: 3}. What is prob of picking 1 w, 1 h, and 1 q?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -k - 610, -3*k = -4*v - 7*k + 2464. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5036 - 5036. Let f = -10 - -9.84. What is the nearest to f in -1\/4, g, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 28503.\nAnswer: 1\/28503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 + -80. Suppose 39 = j*k - 115. Calculate the lowest common multiple of 20 and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9377109 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 8*o**2 + 3*o - 5. Suppose -5*m = -m - 32. Let c be u(m). Let t = c + -13. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/(-8)*-34*36\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1085510739 less than 0.364?\nAnswer: 1085510739.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123 + -121. Sort 0, 1, 10, c in descending order.\nAnswer: 10, c, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 15) in base 2?\nAnswer: -1001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -613010710 divided by 4715467?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**3\/6 + s. Let t(p) be the second derivative of p**4\/12 - p. Determine k(t(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -61*r + 3293. What is b(64)?\nAnswer: -611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -455597.8 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -39, -31, -1, 63, 173, 341, 579?\n\"Answer: 2*c**3 - c**2 - 3*c - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -146.5 + -0.089.\nAnswer: -146.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3389019 and 18?\nAnswer: 3389001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -3\/5, -68, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 14 = j, 4*n + 9 = 25. Let l be (1000\/(-3))\/(j\/(-39600)). What is l rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - 4*n**2 - 2*n + 2. Determine t(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 104068007779190.\nAnswer: 104068007779194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28\/9)\/(150\/189 - (-12)\/(-21)). Solve 4*g = 10 - m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8979 > -80815\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -4. Solve -s*w - 9 = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 41 = -24, -11 = 3*z - 3*w - 8 + 21 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + d - 1 = 10, 5*b = -3*d + 26. Let k be 1 + ((-9)\/1)\/3. Let o be k\/3*(-15)\/10. Solve -3*v + b = o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.5 + 48. Let t = 4.5 + d. Let n = 16 - t. Which is the second smallest value? (a) -1.2 (b) n (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.2, 0.17, -39, 0.1?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*(h*h\/(h\/(h*h*h\/(h\/h**(-16)))*h)*h)\/h))*h)\/h*h*h*h**(-2\/11)*(h**(-1\/6))**(-1) assuming h is positive.\nAnswer: h**(-727\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 1, h: 1, l: 1, d: 6, b: 1}. Give prob of picking 1 b and 1 j.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 709, 1410, 2113, 2818?\nAnswer: 3525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 100.9129 and -0.665.\nAnswer: 100.2479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 27 = t, -2*t + 36 = -4*h - 0*h. What is the smallest common multiple of t and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*v + v + 1 - 2*v + (3 + 1 - 1)*(-2 + 5*v + 2) - 8*v + 9*v - 6*v.\nAnswer: 21*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-4 - (-8)\/3)*(9 - 12). Let x(f) = f**3 - 2*f**2 + 2*f - 2. Let g be x(2). Find the second derivative of 37*w**4 - w + g*w - 42*w**4 + y*w wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*o + 208*o - 31 = -r, -o + 3*r + 3 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 59 + -2 - (401 - 349) - (0 - (-1 + 2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15c7 (base 16) to base 13.\nAnswer: 26cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 10*b - 1. Which is smaller: 1\/24 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -171 + 17220b?\nAnswer: 17205a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1728781 and 508465?\nAnswer: 8643905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422053239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 10*k**2. Let x(z) = 1275*z + 435. Let s(d) = -3*d - 1. Let l(o) = -2610*s(o) - 6*x(o). Give l(a(i)).\nAnswer: 1800*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**4 + 0*o + 2*o + 15*o**4 + o wrt o.\nAnswer: 192*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 39, 8, 1.05, 2\/61?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 360.29?\nAnswer: 360.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 5*a + 23, 218*a = d + 213*a + 38 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -23048*a - 138271. Determine q(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.13 - 0.13. Which is bigger: -2\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 0*k**2 - 6\/5*k**5 - 13 + 0*k**4 + 3*k**3 + 0*k. Find the third derivative of d(h) wrt h.\nAnswer: -144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/852 and -80\/35750559.\nAnswer: 143002236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/4)\/(6\/8). Find the second derivative of -2*m - 2*m**4 + 20*m**2 - 20*m**s + 0*m**4 wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r + 29. Let v be u(-12). Suppose 0 = 5*h - 2*h + v*y - 203, -3*y + 3 = 0. What is the highest common divisor of h and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1376 divided by 1.\nAnswer: -1376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 451\/(-164)*(-448)\/44.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*v = -61*v - 720. Let z = 210 - v. Solve r + 3*k - z = 4*r, 4*k - 5 = -3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -21 - 14127*10\/(-120). Which is smaller: 1156 or w?\nAnswer: 1156","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 106*f**3 + 56 + 3.\nAnswer: -106*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.289 + 4.93. Let p = 0.141 - x. What is the nearest to -7 in 0, p, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**2 - 1. Suppose 4*i - 8 + 20 = 0. Let d = -4 - i. Calculate a(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b - 5. Determine q(7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 13*c**3 - c**2 - 3. List the prime factors of r(2).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111011010 - 100101110?\nAnswer: 111010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 401086097 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -307\nAnswer: 3\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -6 - (2 + -1 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4536 = 76*s + 11*s + 165*s. Solve -23 = -5*g - s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 - 84. Suppose -2*r = -5*u - 26, 4*r + 0*u + 5*u = -8. Find n such that 24*n**m - 54*n**r - 8\/3*n + 0 = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 463157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 301091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 281957.8kg in nanograms?\nAnswer: 281957800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2324 (base 5) in base 15?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 - 1375*u\/3 - 2377050.\nAnswer: (u - 3445)*(u + 2070)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.4 - -23.6. Let w = -12 + f. Which is smaller: 2\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7829681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -701, -703, -705, -707?\n\"Answer: -2*w - 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(208) - ((sqrt(208) + -1 - sqrt(208)) + 2)) - (sqrt(208) + -1*sqrt(208)*1 + sqrt(208) + 2*sqrt(208) + sqrt(208) + -1))*-3)**2.\nAnswer: 216*sqrt(13) + 16857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*g**3 - 2 - 5*g**3 + 0 - 5*g - 8*g**3 in the form t*g**3 + n + i*g**2 + r*g and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 + r**2 + 5*r**2 + 0 + r**2 + 0 + (-2*r - 2 + 2)*(-4 + 4 - r) + (3*r + 5*r**2 - 3*r)*(0 + 0 + 4) in the form j*r + k + w*r**2 and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 10330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -296504, -591171, -885838, -1180505, -1475172, -1769839?\nAnswer: -2064506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -99*v - 7. Let x(r) = 33*r**2 + r. Let n be x(-1). Let a = n + -38. Is q(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 68940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - 4*c + 1. Let t(o) = -o - 8. Let h be t(-8). Suppose h = r - 2 - 1. What is u(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2423*g + 20 = -3*x - 2428*g, -5*g = 5*x + 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -3 + -4 + 8 + (102 - 111)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u\/(u*u**15))*u)\/u)\/u)**(-13) assuming u is positive.\nAnswer: u**(-208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from helfhilefkhhifhhfle. What is prob of sequence ee?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**7\/504 - a**6\/16 - 5*a**5\/12 - 2*a**4\/3 + 5*a**3\/6 - 6*a - 4. Let b(q) be the third derivative of y(q). Factor b(v).\nAnswer: 5*(v - 10)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 4. Let m be o(3). Let h(x) = -11*x - 5. Let u be h(-3). What is the highest common divisor of m and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2640 and 10626?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -60\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 10*j**3\/3 + 32. Let q(h) = 4*h**2 + 6*h. Let w(l) = 3*l**2 + 5*l. Let z(y) = -5*q(y) + 6*w(y). Calculate z(u(c)).\nAnswer: -200*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-352)\/(-60))\/(-22)*(-65)\/(-78).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14 - 1512736583.\nAnswer: -1512736583.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.66 + -17.86. Let k = f + 13.2. Which is the smallest value? (a) k (b) -0.1 (c) 0 (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(((c\/c**(2\/17))\/c)\/c))*c**(6\/13)*((c*(c*(c**(-22)\/c)\/c)\/c)\/c*c)\/c*c**(-2\/33) assuming c is positive.\nAnswer: c**(-180259\/7293)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -2\/397, 3\/5, 4, -0.3?\nAnswer: -2\/397","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1\/5 (b) 125 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 10) to base 14\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5537219 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 711 - 311. Let p be u\/30*(-2580000)\/2. What is p rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1218 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 167648723 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-2\/13))\/v)\/v)\/(v\/(v\/((((v*v\/(v**1*v))\/v)\/v)\/v)))*(v**(-1\/3)\/v*v*v)\/(v**5*v) assuming v is positive.\nAnswer: v**(-136\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -679026*v + 67082625.\nAnswer: -679026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 2\/23 (c) 4 (d) -1\/3 (e) 3 (f) 2\/7679 (g) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuumoou. Give prob of sequence uuuu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 59 + 171 - 82.\nAnswer: 2*x + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*v**4 - 2*v**2 + 23646*v + 1400605?\nAnswer: -16*v**3 - 4*v + 23646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18*662\/16 - 185\/(-740).\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-4)*(-48)\/(-30). Let w be 96\/20 - d\/(-20). Suppose 0*y - w*y + 3*n + 434 = 0, -n + 252 = 3*y. What are the prime factors of y?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/(-3) - (-1)\/(-3). Let c = h - -13. Suppose -16 = 4*r - 0*r. Is r at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-6))**(-7\/4))**(-5))**39 assuming f is positive.\nAnswer: f**(-4095\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4446 and 9234?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1714 - 1150. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 31*y - 9*y - 62*y - 94*y - 28*y. Let l(w) = w + 2. Let j(z) = -3*z - 7. Let u(a) = -2*j(a) - 7*l(a). What is u(t(c))?\nAnswer: 162*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 13. Let i = 272 - 274. Sort i, 2, b, 0 in decreasing order.\nAnswer: 2, 0, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*y = -3*y + 4, -14 = 3*z + 4*y. Let f(l) = l**z - 1 - 6*l + 9*l - 7*l. Let q = 2 - -1. What is f(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b - 91 = -37*b. Suppose -184 = -b*d - 177. Is 15\/23 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2128328752 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -24*n. Let t(z) = 6907*z**2 + z. Determine m(t(l)).\nAnswer: -165768*l**2 - 24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**2 + 280986*z + 4777051 = 0.\nAnswer: -17, 281003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9450 = 172*f + 206*f for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29 and -1319692.\nAnswer: -38271068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3660719 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*m = -17 - 28, 5*m - 30 = -2*b. Suppose -13 = b*a - 138. Does 20 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 2\/3*q**2 - 11\/36*q**4 + q + 1\/10*q**6 + 2\/9*q**3 - 1\/10*q**5 + 1. Let m(s) be the first derivative of t(s). Factor m(w).\nAnswer: (w - 1)**2*(3*w + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 54?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, a: 2, o: 1, y: 1, t: 1, u: 1}. What is prob of sequence uqyt?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 23775878*f**2 + 141323069891840*f - 282646234887200.\nAnswer: (f - 2)*(f + 11887940)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.3 - -24. Which is the nearest to -0.1? (a) f (b) -1\/6 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (71 - 4) + (-1 + (28 + -16 - 17) - -2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -100, -1\/4, 13\/3, -5, -64, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -3\/5 (b) 1\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.74 * 2.\nAnswer: 1.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 2 + 0*w - 5 - w to the form q*w + l and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23020 or -23026?\nAnswer: -23026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-6)\/((-1620)\/3546) + 9\/((-135)\/2)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from {y: 2, u: 3, n: 5, p: 1, h: 8}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -71410440 divided by 120\nAnswer: -595087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5 + 0 = -2*h, h - 5 = -t. Factor -n - 3*n**h - 57 + 39*n + 39*n - 17*n.\nAnswer: -3*(n - 19)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -37*r**4\/12 - 49*r**3\/6 - 17*r**2\/2 + 5*r. Let m(i) = 18*i**2 + 24*i + 9. Let q(t) = -5*m(t) - 3*o(t). Factor q(b).\nAnswer: 3*(b + 1)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (9 + 0 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75979*l = 76024*l + 1125 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 0. Suppose -4*h + 3*m = -5, i*m + 6 = 2*h + 21. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + l = -11, -3*i + i = -3*l - 21. Suppose 0*p - i = 5*d - 3*p, -d - 5*p + 5 = 0. Solve -5*h - 10 = d, -2*b + h + 6 - 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*b + 92 = -0*b, -2*j = 5*b - 20. Solve -18*s + j = -13*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -7 (c) 0.2 (d) 3 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40.958 + 41. Let o = -2.342 + n. Is 1 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -2 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 151 = -x - 4*x, 0 = -4*x - i + 128. Let z = 34 - x. Sort 4, z, 1.\nAnswer: 1, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3798878 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-150*o + 41*o - 26*o)*(-5*o + 3*o - o).\nAnswer: 405*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 1\/15, 47, -13\/3, -2\/13 in decreasing order.\nAnswer: 47, 1\/15, -2\/13, -13\/3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s - 13*s + 28 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.028 and 361068.\nAnswer: 361070.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618*d = -610*d - 171280000. What is d rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 144*l + 414.\nAnswer: 2*(l - 69)*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33\/889 or 0?\nAnswer: 33\/889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*b - 26*b + 1 + 864*b**3.\nAnswer: 864*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 81 - 26. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117997?\nAnswer: 11, 17, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7482 or -35586?\nAnswer: 7482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1532 is divided by 81?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 41 - 41 + 2*s**2. Let y(z) = 2*z. Determine i(y(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-7 - (-2 + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2476.81 * -9.\nAnswer: 22291.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*q - 1 = 0, -4*b + 5*b = 4*q - 3. Put b, -5, 2, -4 in increasing order.\nAnswer: -5, -4, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20889 + -5243131\/251. Let w = h + -8833\/1506. Let y = -1487\/120 - -64\/15. Find the common denominator of w and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2576615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times -9.2?\nAnswer: -165.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 9*f - 7. Let d be l(10). Solve -2*p + d = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from mvhoulho?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*x = 90, -6*x - 43 = -2*u - 3*x. Let j be (-81)\/378 - 27\/(-126). Let i = j + u. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 51, 170, 397, 768, 1319, 2086, 3105?\nAnswer: 4412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042896 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 12 = y - 2*r, 2*r = 5*y - 18. Suppose -3*b - 4*u = 2 - 9, -u = -5*b + 27. Let j = -2 - -6. Solve g + 3 = -y, b*k = j*g + 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**4 + 2*w**2 + 4*w**2 + 3*w**3 - w - 2 - w**3 + 0*w**3 - 4*w**2 in the form d*w + l + x*w**4 + b*w**3 + p*w**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/40))**(-1\/15))**(-2\/13))**(-31\/3) assuming c is positive.\nAnswer: c**(31\/11700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**3 - 41*q**2 + 4028*q - 56731. What is d(14)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 5) to base 11.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Let z = -468 + 816. Let g = -345 + z. Solve 4*l = g*f + 4 + 6, -5*f = -2*l - v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**2. Let z(i) = 2*i - i - i + 3*i. What is u(z(m))?\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -297.8292 and 11.56.\nAnswer: -286.2692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/5*(2 + 3). Let p(x) be the second derivative of x**4\/4 + x**3\/6 + x**2 + 24*x. List the prime factors of p(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 2 (c) -15 (d) 44128\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 298, 3, -3, -481, 16 in ascending order.\nAnswer: -481, -3, 3, 16, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.93 - -5.5. Let j = -78947 - -78948. Is j at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from gktggktxg.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2311237 + 1008457 = 59*l. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 855444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -162*a - 48. Let f(j) = 17*j + 5. Suppose 29 + 127 = 12*g. Suppose 0*c = g*c + 65. Calculate c*w(q) - 48*f(q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 - 74 = -s - 2*z, 2*z = -5*s + 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -33, -49, -81, -135, -217, -333?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7808 + 9938. Calculate the least common multiple of 7810 and t.\nAnswer: 23430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i - 2*i + 3*i)*(180 - 41 + 39)*(i + i - 3*i) in the form w + m*i + d*i**2 and give d.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(11) + 4*(sqrt(11) + 2*sqrt(11)))*-6 + 5.\nAnswer: -156*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from {w: 1, g: 1, z: 2, x: 2, e: 1, d: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-438)\/(-365))\/(9\/10635) is divided by 37?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 218. Let w = 392 - b. What is the highest common divisor of w and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**4 - h**3 + h**2 - 1. Let x(u) = 7*u**4 - 4*u**3 + 4*u**2 - 14. Let m(n) = 4*t(n) - x(n). What is the first derivative of m(r) wrt r?\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*sqrt(500) + sqrt(45)\/(sqrt(45)\/sqrt(5)*5))*1.\nAnswer: 51*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 386 - -0.14\nAnswer: 386.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5*g + 4*f = 5*g, -14*g - 2*f = 52 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 147\/12 + 1\/(-4). Suppose -3*x + y = 0, -111 = -7*s + 2*s - 4*x. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 55 - 122)*(2*c - 8 + 8 + 1) as n + f*c and give n.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3898007 rounded to two dps?\nAnswer: 4.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 + 9486*c\/7 - 2360520\/7.\nAnswer: 2*(c - 237)*(c + 4980)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28789a07 - -9?\nAnswer: 28789a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 413, 392, 347, 266, 137, -52, -313?\n\"Answer: -2*o**3 - 7*o + 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 + 16*o**3 + 640 - 639)*(-2*o + 2*o**2 + 2*o).\nAnswer: 30*o**5 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 810.8519 decades?\nAnswer: 8108.519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - sqrt(24)*-2)*6)\/(sqrt(16)\/(1*sqrt(2)) + sqrt(8)) + ((sqrt(243) + 1)**2 - sqrt(243) - (sqrt(9)*-2)\/sqrt(3)).\nAnswer: 20*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 - 3\/3)\/(8\/1258128*18)?\nAnswer: 2, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11*x**2 - x. Let r(n) = n**3. Let b(s) = j(s) + r(s). Let d be b(-11). What is the highest common divisor of 99 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -7. Solve 6*k - l = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6649112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -463*t**3 - 8*t**2 + 22*t - 6. Let i(b) = 347*b**3 + 6*b**2 - 16*b + 4. Let u(w) = 8*g(w) + 11*i(w). What is the third derivative of u(h) wrt h?\nAnswer: 678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = i + 5, -4*a + i - 5*i - 12 = 0. What are the prime factors of (76\/16 + a)*12?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*b*f*q**3 - 563*b*q**3 - 16*f*q**2 - f - 836*q**3 wrt b?\nAnswer: -18*f*q**3 - 563*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-738)\/615*(-70)\/(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3435924 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 11*q**2 + 11*q - 39. Is 8 a factor of u(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2 - 26)\/4)\/(75\/(-50)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/5652 and -59\/26847.\nAnswer: 107388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1229 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.5 and 0.16.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -1*(12\/(-3) + 2). Solve -k*o - 3*d = 9, -4*o + 8*o - 3*d = 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r = 2*n + 15, 2*n - 15 = -5*r. Suppose -r*u + 0*u = -45. What is the smallest common multiple of 4 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -825 - 1443 = -184*g + 492. Calculate the greatest common divisor of 237 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -2*s - 3*v + 96, -4*s - 80 = v. Let h(m) = -m**2 - 21*m + 3. Let y be h(s). Solve -6 = 3*k + y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 11, 0.04295, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3503.6 minus -1.76705996?\nAnswer: -3501.83294004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 2*v - 10. Let x be h(-5). Is -3 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (7 - (11 + 10 - -9 - 8)) - 22?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*s + 67 = s, -2*f = -3*s + 41. What is the smallest value in 2\/9, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6910 = 3*f + 2*s, 5*f - 6*s = -3*s + 11485. What is the greatest common divisor of f and 800?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 47\nAnswer: -2.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -577 by 2.\nAnswer: -577\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 5*m - 0*m - 12, 2*a + m = 0. Let c = 1 - a. Suppose c*l = -l + 108. What is the greatest common divisor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6485 (base 9) to base 6\nAnswer: 34035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 - 20563?\nAnswer: -20550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*t + 22 = 0, 22*l - 19*l = -3*t + 18. Solve -5*d - 7 = -2*z, 3*z = -3*d + l*d + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2207, -2599, -3209, -4001, -4939, -5987, -7109, -8269?\n\"Answer: 6*d**3 - 145*d**2 + d - 2069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14019 is divided by 2803?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1)\/6*3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/6)\/k*k)**47*k\/(k*k**(1\/5)*k)*k**(3\/8) assuming k is positive.\nAnswer: k**(6481\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 723529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54254189 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10840000 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -1 - (-25 + 13 + (-2 - -7)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 274, 279, 284, 289, 294?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*(-5)\/180*16\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 784, 1608, 2494, 3472, 4572, 5824, 7258, 8904?\n\"Answer: 5*a**3 + a**2 + 786*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 529*o**2*r**3 - 43*o**2*r**2 - 13*o**2*r wrt r.\nAnswer: 3174*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3558 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8412 - 8321.37. Let m = b - -0.37. Sort m, -2, -0.3 in ascending order.\nAnswer: -2, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-2 - -1) + -9 + 14\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1370 = -3*d - v, 0 = 4*d + v + 2*v - 1825. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 5*s**2 + 4*s + 8. Determine k(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3314795000 to the nearest one million.\nAnswer: 3315000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32284 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 106721253, 106721250, 106721247, 106721244, 106721241, 106721238?\n\"Answer: -3*l + 106721256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - -2 - (5 + -2). Suppose d*w - w = -2. Suppose 0 = 2*y - 4*g - 14, 5*y - 75 = -0*y + w*g. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*h - 8, -3*h - 2*h - 2*y = -20. Suppose -2 = -p + h. Solve 0 = 2*x - 0*o + 3*o - p, 2*x - 6 = -o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-72)*6 + 1770\/(-7788)\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237781.6 micrograms to milligrams.\nAnswer: 237.7816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + -19 + 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 20 = 3*d. Suppose 3*j + 3 = -3*c, j + 4*c + 4 = 6*j. Sort j, d, 2 in decreasing order.\nAnswer: d, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 8 = -4*q - 3*u, -4*q - 5*u = 0. Suppose l - 6*l + 24 = 3*h, -15 = q*l. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535 a factor of 1995093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 11 = -26. What is the remainder when 113 is divided by ((z\/(-2))\/5)\/(11\/638)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*d*o**2 - 216*d*o*s - 294*d*o + 5*o**2*s + o*s wrt s.\nAnswer: -216*d*o + 5*o**2 + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126145 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87 - -589. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 46\/5 of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13582 divided by -11?\nAnswer: 13582\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a week in minutes?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 0*m**3 - m**3)*(-4 - m**2 + 4 + 6).\nAnswer: -m**5 + 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 2*a**5\/15 + 7*a**4\/24 + a**3 + 9*a**2. Let n(g) = -7*g**2 - 6*g - 5. Give -7*n(y) - 6*v(y).\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1740\/(-976) + (-812)\/(-464)\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l + 1949 - 1976 + l. Give v(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 6:50 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2988483013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 5:37 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -5) + 2*2. Suppose 0 = -7*u - o*u - 1243. Does 19 divide (-2 + 4)*u\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425 = d + 4*j, 5*d + 5*j = 327 + 1738. What are the prime factors of d?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*o + 23*o**3 - 71*o**3 + 14*o**3 + 19*o**3 wrt o.\nAnswer: -90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-56))\/((-3)\/(-84)*7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -250.31 minus -0.0343?\nAnswer: -250.2757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7139105.\nAnswer: 5, 1427821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 27*j - 177. What is n(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4577841 is divided by 3249?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7*o**3 + 3*o**2 + o + 16619. Is l(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -808 + 10*z**2 - 815 - 13*z + 1613. Let f(k) = 7*k**2 - 9*k - 7. Suppose -10 - 15 = 5*o - 2*i, -i - 5 = 0. What is o*f(w) + 5*n(w)?\nAnswer: w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3210607.\nAnswer: 3210607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133 - 64. Calculate the remainder when w is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - o = -5, 4 + 1 = i + o. Put 5, i, 3 in ascending order.\nAnswer: i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence px when two letters picked without replacement from {t: 1, p: 5, x: 14}?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 331114.5 millennia?\nAnswer: 331114500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1834*k - 8 - 4 - 259*k + 14 as t*k + u and give t.\nAnswer: -2093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1965500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1035*g**3 + 41*g**4 + 57*g**4 - 96*g**4 + 1113*g**2 - 1 + 1 wrt g?\nAnswer: 48*g + 6210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 1127.\nAnswer: 5635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 91 = -5*m + 59, 10 = 2*h - 4*m. Put 1, h, 14, -4 in decreasing order.\nAnswer: 14, h, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3\/((d\/(d*d**(7\/2)*d))\/d*d))\/(d\/((d\/(d*d**(-3)))\/d))**(-9\/5) assuming d is positive.\nAnswer: d**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 41 = 33. Let n(l) = 24*l**2 + 5*l - 7. Let t be n(f). Let d = -32 + t. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1260)\/(-49) - (-972)\/(-567)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1722981.\nAnswer: 3, 13, 44179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 42*i + 38*i + 3, 0 = -3*i. Find p such that 8\/9*p**2 + 0*p - 2\/9*p**5 - 16\/9*p**q + 10\/9*p**4 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 9. Let l be j(-5). Let z(w) = 2667*w - 890*w - 893*w - 2 - 883*w. Let x(n) = 1. Give l*x(h) + z(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 171 = 46. Calculate the remainder when d is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 7:06 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1897?\nAnswer: 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1585238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -427*a*p**3 - 47*a + 3*p**3 - 93351*p wrt a.\nAnswer: -427*p**3 - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71094367543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -123 + (90 - (3 + 64))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z - 21. Let l be r(-5). Which is bigger: 1\/16 or l?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*y - 9 = 0, -4*w + 2*y = w - 21. Suppose -4*n - i + 129 = 2*i, w*n - 5*i - 133 = 0. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12903*h - 6454*h + 35*h**2 - 6449*h + 49*h**2.\nAnswer: 84*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2500 - -2537. Calculate the remainder when 1292 is divided by k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - t = 9, 0 = 2*z - 51*t + 49*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/6)\/((-3)\/(-12)). Let f be -5*-1*j\/(-2). Let h = -9\/2 + f. Are h and 2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 0)*(380 - 14 - 111)*(2*a**2 + 4 - 5 + 4) as b*a**2 + c + g*a and give b.\nAnswer: -2040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -416632 (base 8) to base 14.\nAnswer: -38758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.449037 millennia?\nAnswer: 6449.037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -b390bb (base 13) to base 15\nAnswer: -57b673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 934?\nAnswer: 19\/934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (141905*g + 1107*g**2 - 141905*g)*(6*g - 5*g + g) to the form h*g + p + j*g**3 + k*g**2 and give j.\nAnswer: 2214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -203236, -812926, -1829070, -3251662, -5080696?\n\"Answer: m**3 - 203233*m**2 + 2*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 + -25 + (-4 + 5 - 0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0.0026665.\nAnswer: 5.0026665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 1 - 552\/56. Let v = 916\/105 + g. Which is the second smallest value? (a) -0.4 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38423001937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4 - 5)*(-13*v + 3 + 63*v - 31*v + (-v + 3*v - v)*(19 + 20 - 48)) in the form z + d*v and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**2\/4 - 19065*k\/2 - 266763\/4 = 0. What is k?\nAnswer: -12703, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 222*k + 4048.\nAnswer: 2*(k - 88)*(k - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -15*g**2 + 5*g - 5. Let y(n) = -7*n**2 + 2*n - 2. Let m(l) = -6*u(l) + 15*y(l). Let x(d) = 2*d**2. Determine x(m(v)).\nAnswer: 450*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12511770.06 from 44.8.\nAnswer: -12511725.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 339 + -4409\/13. Which is the closest to 1\/3? (a) 0.2 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 12*z**2 - 21*z + 20. Let j be m(9). What is the greatest common divisor of j and 814?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4028 or 4029?\nAnswer: 4028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 5*u**2 - 8. Suppose 30 = 3*g - 2*v, -3*v = -g - g + 25. Let s be w(g). Calculate the greatest common divisor of s and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2040 + -1295. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*(f*f**(-1\/2))\/f*f)\/f)**49\/(f**(-3\/7)*f**4) assuming f is positive.\nAnswer: f**(979\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5658 divided by 55\nAnswer: -5658\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * 17.\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 27 = 15. Let c(n) be the first derivative of 6 - 1\/15*n**5 - 1\/2*n**2 + 1\/9*n**y + 1\/4*n**4 + 0*n. What is j in c(j) = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23983030207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 354382 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -73759.\nAnswer: -73758.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 9:07 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 12*w - 8. Let s be m(11). Suppose 0*k + 6 = 3*k. What is the first derivative of -s*p**2 - k + 0*p**2 + 2 - 2 wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-31)\/b**(-16)*(b\/b**(1\/15)*b)\/b**(-28) assuming b is positive.\nAnswer: b**(224\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**4\/32 - 15*w**3\/4 + 2193*w**2\/16 - 1849*w\/2 - 760. Factor v(o).\nAnswer: (o - 43)**2*(o - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 6*l + 3. Let j be 54\/(-10) - 4\/(-10). Let c be g(j). Let u = c - 7. Let m(z) = 4*z - 1. Determine m(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 6*f - 5. Let r be a(2). Let m be 3*r\/(-27)*-1*0. Solve 1 = -2*c - 3*w, -2*w = 2*c - m*w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 4*z + 7. Let g be p(-5). Let j(r) = -r**2 + 3 - 6 + 2 - g*r**3 + 3*r**3. Calculate j(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111 - -93. Let f(y) = y**3 - y**2 + y + 1. Let h(v) = -7*v**3 + 9*v**2 - 9*v - 8. Determine m*f(x) - 2*h(x).\nAnswer: -4*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o = -35. Let c(l) = 3*l - 40879 + l + 20417 + 20435. What is c(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31124847 and 135687?\nAnswer: 4377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x. Let u = 634 + -626. Let p(a) be the first derivative of -u + 0*a + 0*a**2 + 1\/3*a**3. Determine p(s(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24.74 and -5653?\nAnswer: 5628.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 627, 2647, 6061, 10875, 17095, 24727?\n\"Answer: q**3 + 691*q**2 - 60*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 + 20*k**2 + k + 7. Let l be p(10). Suppose g - l = 18. Suppose 3*v - g = 28. What is the highest common factor of v and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 357464 by 4.\nAnswer: 89366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 506 divide 1942045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(405) + 1 + sqrt(405))**2 + 2.\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153123?\nAnswer: 3, 43, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -6. Let o = v - -3. Solve 0 = -o*z - 5*h - 35, 4*z + 5 + 12 = h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 8:37 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*f - f + 38, 0 = -2*f - 5*r + 24. Calculate the remainder when 60 is divided by ((f - 10) + 8\/3)*-66.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*h**2 + 25*h**2 - 32*h**3 + 320*h**3 - 147*h**3 - 33*h**3.\nAnswer: 108*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvdd when four letters picked without replacement from ddvdvddddddvddddvddd?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10401, 20805, 31209, 41613, 52017?\nAnswer: 62421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -72 - -70 - (-6)\/(-2)*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 435 = -2*t, 815 = -10*t + 14*t - a. What is the second derivative of t*w + 2*w**2 - 110*w + 24*w**5 + 33*w**5 wrt w?\nAnswer: 1140*w**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 43\/24819?\nAnswer: 43\/24819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 13082580 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k + 43. Let d be b(-22). Let n(c) = -c. Let p(q) = 4*q + 8. Let u(i) = d*p(i) - 5*n(i). Let l(x) = -x**2. Give l(u(m)).\nAnswer: -m**2 + 16*m - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -5, 223, 3 in descending order.\nAnswer: 223, 3, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10542776 by 363544.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 650 and -5.\nAnswer: -3250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y. Let n(v) = -768790*v. What is n(h(u))?\nAnswer: -768790*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 2*g**2 - g + 2. Let j be k(-5). Let t = 34 + j. Let f = -14 - t. What is f rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3723284228?\nAnswer: 2, 4691, 198427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 10 + (-11 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11267\/5 + -2262. Calculate the common denominator of z and (4\/8)\/(2\/53).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 13*k. Let z be q(13). Let r = 962\/15 - 952\/15. Which is the nearest to 3? (a) z (b) 0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*m - 3*m - 227, -2*m = 4*f + 426. Let u = -1949\/9 - m. Put -0.2, u, 2\/37 in decreasing order.\nAnswer: u, 2\/37, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245, 492, 739?\nAnswer: 986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7245664876.\nAnswer: 2, 1811416219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1522*m = 1524*m + 1 + 21 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 131015860 divided by 4\nAnswer: 32753965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -26.5. Let i = -0.9 + k. Let a = i + -2.6. What is the third smallest value in -1, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*(-2)\/10)\/(((-1428)\/(-7945700))\/51) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0071792175 rounded to 4 dps?\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2243 + -23?\nAnswer: -2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.04672261\nAnswer: -0.23361305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxgxgxgxggxxgxggxgx. Give prob of picking 2 g and 2 x.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(18) + 5.\nAnswer: -15*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 128207?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-45)\/12)*(2 + (-46)\/(-4))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/5)\/(w\/(w**(-2\/3)*w*w*w)))**(-41)\/((w\/w**(-1\/4))\/(w**(-6)*w)*(w*((w\/(w*w**(-2\/3)))\/w*w)\/w*w*w)**(-2\/5)) assuming w is positive.\nAnswer: w**(-1689\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 11384726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26\/5 of a century?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -3, 1, 6, -40, -4, -5 in decreasing order.\nAnswer: 15, 6, 1, -3, -4, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000170545903 rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -18*h + 23*h - 3*q, 2*h + q = 31. Calculate the greatest common divisor of h and 210.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qcqq.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 56. Calculate the remainder when 16 is divided by b\/(-1 - 0\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 29*w + 4. Let h be q(14). Let r = -68 + 71. Suppose -2*b + 6 = -3*v - 3, r*v = -3*b + 51. Calculate the greatest common divisor of h and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6900020821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 150 = x, -3*x + 27 = v + 2*x. Let r = -19 + v. Calculate the remainder when r is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 14570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150809594*w**2 + 36101038*w.\nAnswer: -301619188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 131)*10\/15. Suppose -17*j + y = -14. Solve j = -3*w + w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 2. Let p(w) = -w + 1. Determine -5*d(h) + 4*p(h).\nAnswer: h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 19*a**2 - 18*a + 5. Let c be u(-18). Let r be 3*(966282\/90 - (-1)\/c). Suppose -t = 9*t - r. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -709*w**3 - 3*w**2 - 3*w + 13894?\nAnswer: -2127*w**2 - 6*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tentnnekenneennn. What is prob of picking 1 n and 2 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-14) - (-52)\/14. Suppose -3*g - 47 = 763. Let s = -2163\/8 - g. Sort 5, s, j.\nAnswer: s, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-148)\/36 - -4). Let p be (x\/3)\/(21\/(-56)). Calculate the greatest common divisor of 12 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108984679 to the nearest integer?\nAnswer: 10440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -6*j + 4*j. Let g be (-36)\/27 + (-2)\/j. Does 15 divide ((-262)\/2)\/(5\/(g - 4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-4)\/40*(-4)\/(-18).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from dprpyya?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27342 = 21*n + 42*n. What is the least common multiple of n and 91?\nAnswer: 5642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097005 to the power of 1\/2, to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from mqppbmyb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1179464.\nAnswer: 2, 11, 13, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -119 (c) -1\/3 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 204, 456, 810, 1266?\nAnswer: 1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -21 + 1 + (-32 - -31)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 8*k + 3. Let i be d(8). Solve 4*o + 10 = -h, i*o - 8*o - 3*h = 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -12. What is the remainder when 7\/(-14)*-1*q is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*c**4 + 1 + 15*c**4 + 4*c**4 with respect to c.\nAnswer: 44*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 6:25 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s + 62*s + 61*s + 71*s - 44*s.\nAnswer: 163*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/14*((5 - 5) + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(45*(-3 - -7)\/12)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 48734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 29171 and 58341\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*m - 11, 4*m + 26*f - 8 = 28*f. Is 2\/2015 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/12 and -137\/1278.\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0 - 8, 3*q + 2*j + 4 = 0. What is the biggest value in 4, 0.3, q, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 5*j + 4. Let w be u(-3). Let h = w - -10. Let k be ((-324)\/16)\/((-3)\/h). What is the highest common factor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-24))\/(290\/1392)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10312311 - -323?\nAnswer: -10311322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, p: 3, r: 5, d: 2, q: 2}. What is prob of picking 1 r and 2 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*sqrt(252) + 3)**2.\nAnswer: 120*sqrt(7) + 6304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2403 divided by -6\nAnswer: -801\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 3*g = 14, -217*r + 5*g + 35 = -226*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2*o + 4. Suppose 5*q - 5*h + 20 = 0, 4*h - 16 = -7*q + 5*q. Suppose -6*g - 17 + 23 = q. Which is greater: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 0, 49.\nAnswer: -5, -1, 0, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2144884967.\nAnswer: 173, 12398179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 2*r**3\/3 + 11*r**2 - 61*r - 1. Let h be ((-84)\/45 - 248\/310)*(-27)\/(-4). Is t(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndd when three letters picked without replacement from {d: 4, g: 8, n: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14176 take away 34?\nAnswer: -34.14176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -7, -2 in increasing order.\nAnswer: -7, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103 + 211. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*a + 14, 13 + 12 = 3*c - 5*a. Suppose 0*r - 2 = -c*u - 4*r, r + 2 = 0. Calculate the smallest common multiple of (40\/(-6))\/(1\/(-6)) and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -7.4450528?\nAnswer: 7.0450528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 90\/54 + 14\/6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*p - 117, -y - 4*p + 24 = -0*y. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 32. Suppose 4*q + 2*p = -t*p - 138, -p = -q - 33. Let u(k) = -11*k. Let n be u(3). Is q at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = -0*k - 140. Let b = -3 + 45. Let t = k + b. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293390548.\nAnswer: 2, 11, 43, 155069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*y - 3*y + 6*y)*(0*y - 6*y - 3*y) - y**2 + 4*y**2 - 5*y**2)*(-15*y + 15*y - 5*y**3) + (y**2 + y**3 - y**2)*(3*y**2 - 5*y**2 + y**2).\nAnswer: 54*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -184.\nAnswer: 11\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -190. List the prime factors of s.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -27*d**3 - 14*d**2 - d**3 + 30*d**3 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**4\/6 + x**3\/6 + x**2 - 3*x. Let q(m) be the first derivative of m**2 - 32*m - 2. Let a be q(17). Determine y(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31334, 32222, 33704, 35780?\n\"Answer: 297*l**2 - 3*l + 31040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 9*q**2 - 7*q + 2. Let r = 3677 - 3666. Let a be -1 - 3\/((-6)\/14). Let t(z) = -5*z**2 + 4*z - 1. Determine a*w(n) + r*t(n).\nAnswer: -n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 137 = -152, -4*q = o - 9. Sort o, -195, -8 in descending order.\nAnswer: o, -8, -195","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 4:58 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (8 - (12 - -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 172.3941646 to 2 decimal places.\nAnswer: 172.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119357, 119494, 119623, 119744?\nAnswer: 119857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 27*p - 1864 = 0. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8230614 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l - 45 = -1471. Suppose 44*b + 52 = l*b. Solve -b = -18*c + 46 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c. Let u be o(2). Suppose -28 = -3*k + 2*n + 3, 48 = u*k - n. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25, 43, 75, 121, 181, 255, 343?\n\"Answer: 7*l**2 - 3*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3401411 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3 = 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 450605.862ns to weeks.\nAnswer: 0.000000000745049375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 2. Let r(s) = 2*s**3 + s**2 + 1. Let k(m) = -5*m**3 + 37*m**2 + 2*m + 70. Let q(w) = -k(w) - 3*r(w). Let p be q(-40). What is u(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28060 + 4391. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21210120002020 - -10?\nAnswer: 21210120002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132) - ((2*sqrt(132)*1 + sqrt(132) - sqrt(132)) + sqrt(132))))\/sqrt(12).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + x - 7, 10 = -5*j + 3*x + x. What is the units digit of (-201)\/j + (-6)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3.8, 0.2, -21480, -2 in descending order.\nAnswer: 0.2, -0.1, -2, -3.8, -21480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 999 - 2?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 52162?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - -86. Let t be 27\/b - 102\/(-8). Let z be (-46)\/(-10) - 2\/(-5). Solve -t = 2*y - z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -17*x**2 - 6*x - 6. Let s(f) = 16*f**2 + 5*f + 5. Determine 5*j(b) + 6*s(b).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 1. Suppose 0 = 3*g - 6*g + 42. Let q = g + -6. Let m(h) = -3*h + 3. Determine q*r(a) - 3*m(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 8*r - 9 = 0, 3*a + r + 251 - 232 = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 2 (c) -0.3 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 185 = -23*h + 90 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**3 - 1. Let m be h(1). Suppose 8 = 2*o - 5*u, m*o = -u - 4*u + 12. Solve -x + o*x + 5*r = 10, -4 = -3*x - 2*r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x - 363 + 203 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 21*m + 1. Determine y(-2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1164268 and 6769?\nAnswer: 1164268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9 + 1.8. Sort 1, 0.03, 4, o in descending order.\nAnswer: 4, 1, 0.03, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 3*z + 3*z)*(-2*z**2 + 4 - 4) - 4*z**4 + 3*z**4 - 3*z**4 + (5*z**4 - 2*z**4 - 2*z**4)*(-3 + 3 + 2) + 0*z**4 + 3*z**4 - 2*z**4.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 12*m - 15. Let v = 2 - -1. Suppose -4*z + 5*w = -45, 4*z - w + v*w = 38. Calculate the remainder when u(z) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21735?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -26. Let o = j + -13. Suppose 2446 = 2*p + 8*i - 4*i, o = p - 3*i - 1198. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 8:28 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s - 7. Let o be (885\/20)\/(-1) + 6\/(-8). Let n be 20\/o*(-7 - 11). Determine k(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2633241 - 2633241 - 39*u + 65*u**3 + u**2 + (-u + 0*u - u)*(-3*u**2 + 6*u**2 - 4*u**2) in the form p*u + w + n*u**3 + q*u**2 and give n.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16061268 and 552?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o + o + 4*o + o. Let w(a) = -12*a. Calculate -4*w(k) - 11*x(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 686 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2401070 is divided by 1691?\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-15) - (-69)\/(-1035)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*h + h. Suppose 6 = -3*r + 5*r. Let n(z) = -r + h - z**3 + 4*z**2 - 7*z**2. Determine n(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-6))\/r**(5\/4))\/(r\/(r*r**(2\/33)*r*r))**19 assuming r is positive.\nAnswer: r**(4475\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1408332733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3252*u**2 - 1147940*u + 5648.\nAnswer: -4*(u + 353)*(813*u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000001100 (base 2) in base 16?\nAnswer: -100c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.9 take away 33.67?\nAnswer: 60.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -16. Let o(v) = -v**2. Let n(i) = 5*i**3 + 10*i**2. What is f*o(q) + n(q)?\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4375 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9630 by 2.\nAnswer: -4815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 87 + -32 - 59.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -1 + 1 - -1. Suppose -2*h = 2*y, -6 = -5*y - 3*h - z*h. Solve 4*o + y = 3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -105*y**3 + 155*y**2. Let b(v) = 371*v**2 - 589*v**2 + 375*v**2 - 105*v**3. Let t(q) = -3*b(q) + 4*j(q). Find the third derivative of t(c) wrt c.\nAnswer: -630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**10\/7560 - y**9\/3780 - y**4\/6 - 4*y**2. Let n(f) be the second derivative of c(f). Factor n(j).\nAnswer: 4*j**4*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**5\/20 + d**4\/3 + 7*d**3\/6 - 2*d**2 + 42*d. Give x(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*f**2 - 6 - 83*f**2 - 15 - 96*f**2 + 21.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 177766332 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i - 78. Determine z(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*b + 210*b - 383*b + 756 = -122*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 9*u - 13. Let p be f(14). Let b = -39 + p. Suppose h - 21 = -4*q, q - b = -4*h + 21. What is the remainder when 26 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f + 2 + 0*f + 4 + 0*f. Is u(-9) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 13*i = 6*p + 22, 13*p - 3*i = 9*p + 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3715*x**3 - 4*x**4 - 2 + 2*x**2 + 17*x + 5 - 3715*x**3 + 0*x**2 in the form i*x**4 + l*x + c*x**2 + j + u*x**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m = -21*m - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**2\/3 + 5331640*j\/3 - 10663264\/3 = 0. What is j?\nAnswer: 2, 1332908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b - 3 + 3 - 89*b.\nAnswer: -75*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 9*d**2 + 8*d - 5. Let s = 4 - -4. Let x be v(s). Let z be (-5)\/((-40)\/(-21)) + 3. Which is the second biggest value? (a) x (b) 4\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1002 = -3*t + 3*p, -2*t + 829 - 158 = p. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/36 and 9\/32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b - 243 + 273 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 271596 and 29445.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57935.\nAnswer: 5, 11587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*o*p**2*w + o*p**2 - 4*o*p + 6*o*w - 1543*p**2 + p - 7*w - 7 wrt p?\nAnswer: 12*o*w + 2*o - 3086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + 0 + (-2 - 1). Suppose -3*y - 18 = -g - 1, -p*g - 5*y - 19 = 0. Suppose -5*k + 5*c = -190, -4*k - 3*c - g*c + 116 = 0. Does 34 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 3*x**2 + 2*x - 2. Let v be h(2). Let z = -304.664 - -305. Let n = z + -0.836. What is the closest to v in n, -1, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -33\/7 (b) 4 (c) 0.2 (d) 1\/38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24083\/6360 + -4\/795. Let o = -886333\/44 + 20143. Calculate the common denominator of m and o.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/5 + 1003452*n\/5 - 17058106\/5.\nAnswer: -2*(n - 501709)*(n - 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7621 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 231 by -3.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/8 and 43\/14080?\nAnswer: 14080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.007 * 34.\nAnswer: -0.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92 and 5.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-66)\/88 + (-6)\/(-8). Suppose -k + 23 = 3*j, 0 = -3*j + 2*k + 8 - f. Let y(u) = u**3 - 5*u**2 - 4*u - 6. What is the units digit of y(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 6. Let p be k(-9). Suppose 2*v = p*v + 5*z - 14, z - 18 = -4*v. Suppose v*o = r + 108, 5*o + 5*r = o + 108. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 338*k - 335*k - 21 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -74)\/((11005\/62)\/71).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*m**3\/5 - 119688*m**2\/5 + 79798*m\/5 - 2660.\nAnswer: -2*(m + 6650)*(3*m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + 172. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11767, 47060, 105881, 188230, 294107?\nAnswer: 423512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70490, 70464, 70436, 70406?\nAnswer: 70374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 390\/210 + 16\/14. Solve 4*u - 14 = -b*t, -3*t + 3 = -2*u - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31.7711 grams?\nAnswer: 31771100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -757 + 759. Which is the third smallest value? (a) -4 (b) -2\/61 (c) x (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 3:32 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 5:56 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5 = 2*u, -5*z = 3*u - 7*u - 3. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 3*(sqrt(99) + 0))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 10*l + 44. Let y(t) = -t + 11. Let m(p) = h(p) - 4*y(p). Let j(w) = -w**2. Determine m(j(g)).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70.26 - 69. Let n = z - 1.181. What is n rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419*u**2 - 3*u + 9*u**3 + 183*u**2 + 2822*u**2.\nAnswer: 9*u**3 + 2586*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -18.7. Let f = -287 + 291. Let p(s) = s**2 - 7*s + 17. Let o be p(f). Sort u, o, -1.\nAnswer: -1, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, -2, 41.\nAnswer: -2, 0.18, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-1)*y)**18\/(y**5\/(y\/y**(-3)*y)))\/(((y**(-3\/2)*y*y)\/y)\/(y**(-2\/13)\/y)*(y\/((y\/y**(-5\/2))\/y))\/y*y**6) assuming y is positive.\nAnswer: y**(882\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 868 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 22*m**2 + 97*m - 120. Let c be k(-15). Solve c = -7*f + 350 - 399 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51067619 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1496 and 37644409.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (4 - -3) - (12 - (80 + -81))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 11. Let r be 1*49*-1 - 3. Let v = -21 - r. What is the remainder when v is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3707 + -281.\nAnswer: -3988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4586*a*x**2 + 4*x**2 - x - 849 wrt a?\nAnswer: 4586*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**9\/72 - w**5\/10 + 17*w**2. What is the third derivative of v(d) wrt d?\nAnswer: 840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -104620, -104600, -104580, -104560?\n\"Answer: 20*m - 104640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 - -7 - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (4 - 6) + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 19*h + 57. Let d(t) = 2*t**3 + 12*t**2 - 4*t - 3. Let p be d(-6). What is the tens digit of c(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-6)*18 - 3. Let x be s\/(-27)*(-12)\/10. Suppose 0 = 4*c - 5*t - 14 - 17, -x*c + 17 = -3*t. Calculate the least common multiple of c and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 368*y - 2 - 368*y + 5070*y**2)*((4 + 2 - 5)*(-4*y + 3*y + 3*y) - 3*y + 2*y + 2*y).\nAnswer: 15210*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + 0*q**5 + q**5 - 2*q**5 + 0*q**5 - 6*q**5 + 4*q - 4*q - 2*q**5 + (3*q**2 - 4*q**2 + 3*q**2)*(3*q**3 - 3*q**3 - q**3).\nAnswer: -13*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0) + (160 - 98 - (-8 - -37))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12484 and 96?\nAnswer: 299616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 229*p**2 + 8439*p - 1257. Calculate g(-37).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**3 + 2*d**3 + 251*d + 0*d**2 - 2*d**2 - 483*d + 242*d. Give n(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*r*t**4 - 2353*r*t**3 + 6*r*t - 1219407*r wrt t?\nAnswer: -12*r*t**3 - 7059*r*t**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/3))**(-1\/6)\/((a\/a**(1\/9))\/(a*a**8)) assuming a is positive.\nAnswer: a**(71\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 205*u**2 + 1497*u - 21895. Calculate o(198).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 634 and 137664541?\nAnswer: 275329082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjzxf. What is prob of picking 1 z and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/6178816 and 103\/32438784.\nAnswer: 129755136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131 + -1223110332?\nAnswer: -1223110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17674555211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.6634 tonnes to grams.\nAnswer: 8663400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006833 rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 219\/5 at most as big as 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.27 + -0.27. What is the nearest to 0.1 in -0.3, -13, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34104*y**4 - 66860*y**4 + 15513*y**4)*(-1 + 2 + 0).\nAnswer: -17243*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -126 + 130. Let o(k) = -5*k - 4. What is the remainder when o(-3) is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 - 21*d**3 + 24*d**2 - 7*d**3 + 30*d**2 - 53*d**2.\nAnswer: -32*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -43 + 55. Solve -4 = x + l*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 124 and 5260.\nAnswer: 652240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*(u*u*u\/(u*u**(6\/5))*u*u)\/u*u)\/(u\/(u\/(u*u**7*u))*u) assuming u is positive.\nAnswer: u**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12 = -x + 47, 2*u = -4*x + 12. Let m = 370 - 358. Calculate the least common multiple of m and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93.059 - -93. Let n = d + -4.161. What is n rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42.6 + -7200552501.\nAnswer: -7200552543.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -60, -125, -190, -255, -320, -385?\n\"Answer: -65*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 + -1010?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(30)\/(-2*sqrt(6))) + (sqrt(5) - (-4 + sqrt(10)\/sqrt(2))))**2 + 3.\nAnswer: 12*sqrt(5) + 121\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134498 is divided by 1076?\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6 + 5)*(-2)\/(-4))\/(191\/4966).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.053641 to 3 decimal places.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 956, 1911, 2866, 3821, 4776, 5731?\nAnswer: 6686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6855 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96*(-72)\/672)\/(6\/(-63)*-3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 1 = -x - 8, -4*s + 5 = -3*x. Suppose 13 = s*f + 1. Let q be ((-9)\/(-6))\/(f\/36). Solve 4 = 5*d + q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 - 119969 + 119969.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*t + 7664 = -3102, 0 = -3*q + t + 8072. Let a = q + -10701\/4. What is the common denominator of a and -23\/44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i + 2*i + 0*i + 354*i - 172*i + 61*i + (0 - i + 0)*(5 + 0 - 3) - 2*i - 4 + 4 to z*i + h and give z.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(80))\/(sqrt(4) + ((sqrt(36) + sqrt(4))*-6 - sqrt(4))).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1703566800 to the nearest one million.\nAnswer: 1704000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -55, 0.4915, -1\/5 in ascending order.\nAnswer: -55, -1\/5, 0.4915, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 - -64. Suppose c = 2*s - 56 - 386. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k + 6, -4*w + 5*k = -39. Let t = w + -4. Let j(v) = -v + 4 - 6*v + t*v. Calculate j(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198370397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4069 - 14?\nAnswer: 4055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 52\/(-16) + 2 - (-3 - -1). What is the nearest to -0.2 in b, -0.1, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1 (b) -2\/13 (c) -2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 2\/5, -94319?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 15. Let x(p) = a*p**2 + 10 + 4 - 14. Let g(l) = 3*l**2. Calculate x(g(y)).\nAnswer: 18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 4. Let h(r) be the second derivative of 0 - 9\/2*r**2 + 33*r + 1\/6*r**3. Determine 5*c(n) + 2*h(n).\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -25704507 (base 8) in base 9?\nAnswer: -11713334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 209622 and 16198.\nAnswer: 242532654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 6 = 0, 5*l = -5*j - 31 + 36 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 461953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w + 8. Let n(j) = -j - 4. Let y(f) = -7*n(f) - 3*t(f). Let i be y(-4). Let 10\/7*a**2 + 4\/7*a + i = 0. What is a?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 4*b**2 + 6*b - 3. Let q be u(5). Let m be (6\/q + -1)*2. Suppose -v + 0 - m = 0. Let p(w) = -w**2 - 4*w - 4. What is p(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47056 and 23392.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 521 - 519. Let f = -20.13 - -20. Let j = f + 0.13. Which is the closest to q? (a) -2\/5 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.3776322 hours in weeks?\nAnswer: 0.091533525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i**(3\/2)*i)\/i))**(1\/35)*i**(1\/2)\/i**5)**(1\/17))**(4\/13) assuming i is positive.\nAnswer: i**(-632\/7735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l = -24*l + 24. Determine s so that 0 + 0*s + 0*s**2 - 2\/5*s**l - 2\/5*s**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.7908956\nAnswer: 0.3954478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/54 and 17\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*j = 2*j - 16, 14 = 3*c - 2*j. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a minute in seconds?\nAnswer: 765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 31830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 4, 12, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3361 + 3385. Calculate the greatest common factor of 40 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**15)**(1\/41)*u*u*u**(-1\/3)\/u*u**15 assuming u is positive.\nAnswer: u**(1972\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10324 (base 5) to base 13.\nAnswer: -42c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9 + 474*u**2 + 472*u**2 + 476*u**2 - 1908*u**2 + 483*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1622239*p**3 - 139*p**2 + 6515 wrt p.\nAnswer: 9733434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 13 = -3. Suppose 0 = -o*t, -4*t = -5*l - 7*t + 10. Let z(f) = 3*f**2 + 0*f**2 + 0*f**l - 4*f**2. Let i(v) = 6*v**2. Give i(z(a)).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 18537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 11*b**3 - 6*b**2 - 6*b - 6. Let g(k) = -10*k**3 + 5*k**2 + 5*k + 5. Give -6*g(w) - 5*z(w).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/2*(-10)\/3*-4. Let v = p + 60. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 500 - 23?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 1\/1917837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 8*j**2 - 4*j + 8. Let b(v) be the third derivative of -17*v**5\/60 + v**4\/3 - 17*v**3\/6 - 4*v**2. Let s(u) = -6*b(u) - 13*i(u). Calculate s(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/(-285) - ((-791)\/(-8778) + (-2)\/(-11)). Let a = -2 + 8. Sort -3, a, r, 0.1 in ascending order.\nAnswer: -3, r, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*((-3)\/(-3))\/(-1) - -3. Suppose -2*x + 3*j = -b*x + 10, 2*j = -4*x + 50. Let f(g) = x*g - 7*g - 7 + 10. Calculate f(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/126*6*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5 + 3*s + 0*s + 6*s - 2*s. Let x(l) be the first derivative of 2*l**2 - 3*l + 2. Calculate -5*x(n) + 3*y(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 403.\nAnswer: -3\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2 = -b, -2*b - 29 = 4*a - 25 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2325 is divided by 63?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, e: 4}. What is prob of picking 1 v and 1 e?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -7891308.3 to the nearest 100000.\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10500)\/((-1806)\/(-43))*(-8)\/(-16).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40226 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8494 (base 10) to base 8\nAnswer: 20456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**3 + 72896*j**2 + 4*j - 72896 = 0.\nAnswer: -1, 1, 18224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2 = -3*g + 49, -4*g + 37 = 5*m. What is the remainder when 24 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = 23 - 72 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25\/100*(563 - -5). Solve 0 = -2*t - 134 + s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 not equal to 108\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -164 - -165. Let d be 84\/(-30) - 15\/(o + -6). Suppose 3*s + 2*v = 5*s + 6, 0 = 3*s - 2*v + 6. What is the closest to s in 3, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*d - 168 = -46*d. Suppose 36*v - d*v = -78. Find the first derivative of -5082 + 5128 + 11*o**3 + v*o**3 wrt o.\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196873600 divided by 22372.\nAnswer: -8800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01256345 greater than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158674597 is divided by 3721?\nAnswer: 3715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71 - 30. Let h = 93 + c. Let v be (-1)\/(-8) + (3 - (-390)\/(-48)). Which is bigger: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -134522 + -26520?\nAnswer: -164342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74515817*p**3 - 9524480*p?\nAnswer: -447094902*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 697 + -696.051. Let r = -1.049 + m. Let l be (-6)\/8*(-2)\/(-6). Which is the fourth biggest value? (a) l (b) 5 (c) r (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7 + -3)\/((-4)\/(-6))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/9)*c)**32\/(c**(-17))**(1\/12) assuming c is positive.\nAnswer: c**(1075\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 936.5.\nAnswer: 2809.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -60*s. Let u(h) = 15*h. Determine u(t(r)).\nAnswer: -900*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 335213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flaafnbnblaaaflffn. Give prob of picking 2 b and 1 l.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d + 15*d - 55*d + 9*d + 18*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 6*g - 5*g + 4943, 2*b - g - 1976 = 0. Is b equal to 989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81134377*j**6 + 4865283*j**2 - 2*j?\nAnswer: -9736125240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 51 - (-53 + 47) - 30\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28556? (a) 0 (b) 2\/7 (c) 0.4 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b + 325. Let f(t) = 3732*t. Give w(f(i)).\nAnswer: 7464*i + 325","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.163348 months in centuries?\nAnswer: 0.01680279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26130638, -104522550, -235175736, -418090196?\nAnswer: -653265930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62349\/2 - 31173. Factor -9\/4*a**2 + 3\/4*a**3 + 0 + x*a.\nAnswer: 3*a*(a - 2)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5 - 2*a**2)*(-3*a + 3*a + 3*a) + 0 + 0 - 2*a**3.\nAnswer: -8*a**3 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Let z(b) = 5*b**3 + 2*b**2 - 3. What are the prime factors of z(c)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 18*s**3 + s. Let h(n) = -n**3 + 12*n**2 - 12*n + 12. Let g be h(11). Let v be ((-2)\/1 + g)\/(-1). What is the remainder when c(v) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l**3 - l**2 + l. Suppose 10 = o - 3*c, -3*o - 9 = 6*c - 2*c. Let t be n(o). What is the units digit of t\/(-6)*-2 + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 80414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106 + -10. Is l a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 k when two letters picked without replacement from {k: 12, i: 1, l: 2, z: 4}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10791 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*i - 6, -3*i - 8 = 2*l - 6*i. Let d = 4 + l. What is the remainder when 21 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 33*h - 256. What is i(16)?\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 3) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 - 1. Let z = -158 + 151. What is the second smallest value in z, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -58\/7 (b) -0.5 (c) 0.032763 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6325.213 nanograms in tonnes?\nAnswer: 0.000000000006325213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let q(d) be the third derivative of 25*d**4\/12 - 112*d**2. Give v(q(s)).\nAnswer: -50*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {a: 7, j: 12}?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -11 + 17 + 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10464 - 10458. Let b(s) be the second derivative of 1\/3*s**3 - 1\/10*s**5 - 1\/30*s**f + 1\/2*s**2 + 0 - 18*s + 0*s**4. Find x, given that b(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*s**5 + 126*s**4 + 118*s**3 - 2089709*s**2?\nAnswer: 180*s**2 + 3024*s + 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5582083 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**3 + 3712064*w**2 + 3444851072957*w - 6889716994178 = 0?\nAnswer: -1856033, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 - 5*u + 4*u**4 + 670*u**3 - 662*u**3 - 3*u.\nAnswer: 4*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5318808850 to the nearest one million.\nAnswer: 5319000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 20*z**2 + 61*z - 36. Determine y(-15).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -20*r**2 - 5\/24*r**4 + 1\/6*r**5 + 0*r + 1\/24*r**6 + 0 - 5\/3*r**3. Factor d(u).\nAnswer: 5*(u - 1)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/18 + (-122)\/18. Let i(h) = 2*h**2 + 4*h - 17. What is the tens digit of i(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, u: 2, s: 1}. Give prob of sequence nus.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*(5 + ((3 + 1*sqrt(3))*4)**2*-1) + 1.\nAnswer: 384*sqrt(3) + 752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 14 = 11. Put g, -7, 3 in increasing order.\nAnswer: -7, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -818, -1325, -1844, -2381, -2942, -3533, -4160?\n\"Answer: -w**3 - 500*w - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5505, -3, 6, 10\/11, 1, -5, 1\/6 in increasing order.\nAnswer: -5, -3, 1\/6, 10\/11, 1, 6, 5505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*c = 2*j - 95, 76 = 4*j - 5*c. Let p be -8 + 0 + -1 + 1. Let v = 163 - p. What is the greatest common factor of v and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.3 + -10.4. Let k = -0.02 + -2.48. Let x = r - k. Which is the second biggest value? (a) -0.3 (b) -2\/17 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 437599992\/10 + 8\/10. Round k to the nearest 1000000.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 3*a + 6. Determine l(-5).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49910 or -748634\/15?\nAnswer: -748634\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 159059243 a multiple of 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30152\/15 + 2010. Sort 0.082, 0, u in decreasing order.\nAnswer: 0.082, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/2680748 and 45\/382964.\nAnswer: 2680748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 r when four letters picked without replacement from {m: 1, r: 4, q: 4, n: 1, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133046.\nAnswer: 2, 3, 19, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -773 - -2?\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3681.\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 - 2)*(-3)\/(-9). Suppose 109 = k*l - 71. Is 30 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568945386?\nAnswer: 2, 3, 19, 87557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 159*g**2*t + 2*g*t - 22 wrt g?\nAnswer: 318*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((3 + -2)\/(-12))\/((-51)\/(-272))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/19994502 and 7\/3928.\nAnswer: 79978008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 - 383\/5. Which is the second biggest value? (a) -5 (b) g (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2573\/89, 4, 5 in increasing order.\nAnswer: -2573\/89, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 6) in base 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 154, 52723, 1\/2?\nAnswer: 52723","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*-3)**2 + 0.\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 4\/6*(-3 + (16 - 19))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175, 173, 171, 169, 167?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 5*q - 1. Let l be w(-4). Suppose -3*c = 5*t - 10, t + 7 = 2*c - 4. Sort 4, c, l in decreasing order.\nAnswer: c, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1372 is divided by 1372.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 3*z + 3*z)*(4*z**2 - 2*z**2 - 4*z**2) - z**3 + 14*z**3 - 2*z**3.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z**2 + 16*z + 17. Let k(n) = 4*n**2 - 8*n - 9. Let a(q) = 7*k(q) + 3*r(q). Find i such that a(i) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -31, -4, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.3 (c) -8 (d) 5 (e) 95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30777 + 31608. Which is the closest to w? (a) 2\/5 (b) 1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00975111 rounded to 4 decimal places?\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5865 + 8577. List the prime factors of f.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 60 - 72 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -4 (b) 21.3 (c) -0.1 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 4:39 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5021034 by 11.\nAnswer: -5021034\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**18*v**3)**(-31))**20 assuming v is positive.\nAnswer: v**(-13020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -278196088197 - 1\nAnswer: -278196088198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-278)\/3 - 0)*(-6)\/(-4). Let g = 151 + s. What is the remainder when 237 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Suppose -o*t + 2 = -0*t. Suppose 2*l = -4*z + 3*l + t, 4*z - 4*l = 16. Which is bigger: 1\/7 or z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/(-35) + 2\/(-10). Let o be ((-3)\/6*-2)\/(-3). Is v <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18996917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23661990427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 2*d - 18 + 0*d**2 + 1\/4*d**4 + 1\/2*d**3 - 7\/10*d**5. Let m(y) = 363*y**3 - 77*y**2 - 77*y. Calculate -77*l(s) - 3*m(s).\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 86\/(-44) - ((-23)\/(-2) + -14). Which is the closest to -16? (a) -4 (b) 0.5 (c) k (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 569.86 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 21*l**5 - 6*l**4 - 378*l**3 - 564*l**2 - 123*l + 90 = 0.\nAnswer: -3, -1, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 - 2*j**2 - 8. Let z be a(-7). Let t = -305 - z. What is the remainder when t is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w - 3 - w**3 - 5*w + 8*w**2 + 5*w. Let u(l) = 2*l**2 + 26*l + 16. Calculate the smallest common multiple of u(-13) and y(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195752508241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2527080 by -10.\nAnswer: -252708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26038.0003 + 26035. Let o = -3 - t. Round o to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 84051732?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2522922, 5045856, 7568788, 10091718, 12614646?\n\"Answer: -n**2 + 2522937*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 2102 and 2103 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.03 (b) 96 (c) 2.9 (d) 8 (e) -1\/3 (f) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -1. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/8))**(-26) assuming m is positive.\nAnswer: m**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3193 - 3005) + -87 + 3.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtxo when four letters picked without replacement from txoxooatxxooaxaoog.\nAnswer: 7\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**5\/20 - 31*a**4\/12 - 271*a**3\/6 - 561*a**2\/2 - 2244*a. Factor g(k).\nAnswer: -(k + 3)*(k + 11)*(k + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*-0.756\nAnswer: -0.6804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-910)*-117)\/((-192)\/28).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6593 + -6601. Which is greater: d or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**5\/6 + 59*y**3\/6 - 57*y**2\/2 - 4. Let x(i) be the second derivative of u(i). Differentiate x(r) with respect to r.\nAnswer: -20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -16*g**2 + g - 1. Let t be w(-3). Suppose 2*d = -d + 18. Let y be 2\/d - t\/6. Solve -s + y = -5*b, s = 4*s + 4*b + 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108558000 rounded to the nearest 1000000?\nAnswer: -109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 17 - -1 - -8 - -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 3*b**2 - 3*b. Let j be g(-2). Suppose -16 = -2*n - j*n. Solve n*o + 17 = -3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 + 2*p**2 - 2*p + 1. Suppose 4*j + 3*m - 31 = 0, 7 - 32 = -5*m. Let y be (7 + 1)\/(j - 2). Suppose -l = y - 5. Calculate a(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*i - 11 = -0*n, 0 = -4*n + 5*i + 11. Let h be 1 - n - 0\/5. Let a(q) = -2*q**h + 0*q**2 + q**2. Let g(t) = 3*t. Calculate g(a(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 291, 289, 287, 285?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5261 - -5260.8. Which is smaller: h or 0.3392?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 1)*(4 + 3 - 6) - 7 - 36 - 53)*(-2 - 1 + 4)*(-4*m**5 - 3*m**5 + 5*m**5).\nAnswer: 188*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express q - 1740*q**3 + 1 - 3*q**4 + 2*q**4 + 1748*q**3 in the form d + c*q**3 + l*q + o*q**2 + v*q**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -32*k + 7*k + 11*k + 11*k - 5. Suppose -4*r - 32 = 4*n, -5*n + 0*n + 2*r = 33. Calculate the remainder when s(n) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 16 = 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 4*b**2 - 2*b - 5. Let t = -6 - -2. Let a be c(t). Solve a*o - 17 = -5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59\/6 + 2909\/294. Let f be 25\/(-147)*5*(-3)\/(-9). Let y = v + f. What is the closest to -0.1 in -3\/4, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -532 - -5213\/10. What is the common denominator of m and 3\/8*372\/(-15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 30) + -16 - -29?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-12))\/2*((-5 - -14) + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (13 - 2 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (1 - 2) + 134. Let q = 243 - i. Is q a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, l: 4, y: 2, g: 1, e: 5, i: 1}. What is prob of sequence li?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*(sqrt(17) + 1*sqrt(17)*3) + (sqrt(170) + (4*(sqrt(170) - (-2*sqrt(170) - sqrt(170))) - sqrt(170)))\/(sqrt(20)\/sqrt(2)*-3))**2.\nAnswer: 98192\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-14) + (-24)\/168. Let m be (-12 - -9) + (-35)\/(f + -1). Which is greater: m or 28?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, -3\/5, -206, 4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q - 3 = 0. Suppose 0 = q*d + 2*d + 50. Let y(k) = -k - 3. What is the units digit of y(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -333*b**3 + 1488*b**2 - 1493*b + 5. Determine v(1).\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v - 7. Let c be l(-5). What is the second derivative of c*m**5 + m**5 - m - 3*m**5 - 5*m wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/29 and 34\/28043?\nAnswer: 28043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:13 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.31 - 0.11. What is the nearest to -1 in s, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110683509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(27)*1)\/sqrt(9) - sqrt(6)\/(sqrt(12)\/sqrt(6))) + sqrt(243)\/(sqrt(36) - (sqrt(144) + sqrt(36) + sqrt(36))))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 78*v**4 - 6 wrt v.\nAnswer: 312*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 - 13)*(-16)\/(-6). Find the common denominator of -19\/24 and (136\/(-12))\/(t\/18).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l + 5 - 20 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -731 + 743. Suppose -20535 = -x*l - 3*l. What are the prime factors of l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 825.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 0. Let b(p) = -p**3 - 6*p**2 + 5*p - 2. Let n be b(k). Let r = n + 82. What is the remainder when r is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**2 - 1 + 4*r**2 - 4*r**2 + 5*r**2. Calculate o(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -48*q**2 - 5*q - 5. Let g(v) = 456*v**2 + 48*v + 48. Let y(f) = 48*b(f) + 5*g(f). Let x(p) = 2*p**2. Determine x(y(l)).\nAnswer: 1152*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -180319 - -180319.93947. Let l = d - 0.94. What is l rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 + v**2 + 0*v**2)*(-5 + 3 + 3)*(-4 + 16 - 1).\nAnswer: 55*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -10. Solve 0 = -j*k + 4*u, -u + 2*u = -2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22.107 - 0.025. Let r = -22 - i. Round r to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/5))**(8\/13)\/(r**(-5)*r*r*r*r\/(r\/(r*(r\/r**(-4))\/r))*r*r*r) assuming r is positive.\nAnswer: r**(-358\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-3) + -2)*2. Which is the nearest to z? (a) -2\/3 (b) 5 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 634, 671, 708, 745, 782?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.19*37450\nAnswer: 44565.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/7 + ((-20)\/14)\/(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -244, -241, -234, -223, -208?\n\"Answer: 2*f**2 - 3*f - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/(-21))\/((-4)\/(-150)). Let m be 1 + (-2 - 1)\/(-1). Suppose -m*q = 4*n - 48, -y = -5*n - 0*n. Solve 4*g - 2*l = -q - 1, -3*g = 2*l - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1223406 (base 7) to base 13.\nAnswer: 56799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 192*a - 191*a - 4 + 4. Let p(r) = 6*r**2 - 3. What is t(p(c))?\nAnswer: 6*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) 26 (c) 0.02126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030 (base 10) to base 2.\nAnswer: 10000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1910 rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*t + 74*t - 8797 = -5*o, 10 = 2*o. Let y(a) = 144*a**2 - 4*a + 1. Let k be y(6). Let p = k - t. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 3\/((-6)\/(-4)). Let c be -3 + (2 - -2) - -2. Factor y**c + 2*y**2 + k*y**4 - 3*y**3 - 4*y**2 + 2*y**5.\nAnswer: 2*y**2*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-582)\/(-30) - 2\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 628855185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-3)\/((-6)\/(24\/(-4))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.4564585 months?\nAnswer: 0.00204704875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80637\/4 not equal to 20160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5\/3, -0.1, 35522?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-67927)\/(((-81)\/9 - -12)\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -19*k**7\/42 - k**4\/6 - 29*k. What is the third derivative of m(g) wrt g?\nAnswer: -1140*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z + 3. Let s be x(-4). Let o = 72 + s. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 32*b**2 + 8*b + 12. Let a be c(-3). Let m = a - -100. List the prime factors of m.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5177215936 to two dps.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*j**2\/4 - 20107*j\/4 + 423 = 0. Calculate j.\nAnswer: -188, 9\/107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8*p = -15. Let v = -1 + 4. Suppose -3*k - k = -8. Put v, p, k in increasing order.\nAnswer: p, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83542 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 6\/112189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/2))**(-3\/7)\/(h**(-1)*h\/(h**(2\/7)\/h)))**19 assuming h is positive.\nAnswer: h**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2194*s**3 + 2271*s + 3969*s + 2192*s**3.\nAnswer: -2*s**3 + 6240*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and 1170.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 10:27 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 59.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10140 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13034 + 13030. Which is the smallest value? (a) -0.4 (b) -2\/7 (c) -514 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from uuuwuuwuu?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -15, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*j**3 - 42*j**3 - 79*j**3.\nAnswer: -38*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 41c19b (base 15) to base 3\nAnswer: 12212222011202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4644.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.20106 + 0.00106. What is the fifth biggest value in 4, f, 5, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 10) to base 15\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -1.5 (c) 1832\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9056691 and 35667709.\nAnswer: 2889084429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i - 192*i**4 + 2*i**2 + i**3 + 191*i**4 - 4*i + 5 to the form z*i**2 + u*i + f*i**3 + j*i**4 + k and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m - 64. Let v be w(27). Suppose -3 = -10*q + v. Solve -q*j - 3 = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/11 + (-4)\/(-22). Let m be -5*(r - 8\/5). Let j = 3 - -1. Solve j*t - p = 1 + m, -5 = -t + 3*p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 19 = -l - 4*n, 4*l - 11 = n. Suppose w = 5*w - 12. Let v(f) = f**3 + 0*f**w + 2*f - f - 2 - 3*f**2. Determine v(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Let b(l) = 3 - 144*l**2 + 2 + 150*l**2. Determine j(b(o)).\nAnswer: -6*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -10*v**2. Let m(k) be the third derivative of -k**8\/6720 - k**5\/10 + k**4\/4 - 49*k**2. Let w(n) be the third derivative of m(n). What is i(w(t))?\nAnswer: -90*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2124, 8506, 19148, 34056, 53236, 76694, 104436, 136468?\nAnswer: 172796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2873*h + 2875*h = 2*q - 14, 6 = 3*q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 36.5?\nAnswer: 36.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**3\/3 - 3*q**2 + 5*q - 78052. Let d = -16 + 7. Let b = d + 16. What is t(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 11*d**2. Let g(j) = 17*j**2 + 3*j. What is g(p(n))?\nAnswer: 2057*n**4 + 33*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 17. Let y = h + -8. Let p = -2 + 1.8. What is the closest to p in y, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1327, 5285, 11881, 21115, 32987, 47497?\nAnswer: 64645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 7:32 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 8*j**2 + j - 5. Let l(v) = 15*v**2 + 2*v - 9. Calculate -3*l(t) + 5*x(t).\nAnswer: -5*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwywwbwweyeyewwej. What is prob of sequence wj?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 11:34 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0193 - 1.0193. Suppose 6 = -5*h - 9. Put h, n, -2 in increasing order.\nAnswer: h, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + 46*i - 22*i + 16 + 2*i**3 - 5 - 5 - 21*i to l*i**3 + b + s*i**2 + d*i and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 979349?\nAnswer: 7, 139907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 38. Let w = 53 + -38. Let o = f - w. Sort 0, o, 1.\nAnswer: o, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)\/((1*sqrt(15))\/sqrt(3))*3*2)\/((-1*sqrt(180) + (sqrt(125)*-2 - sqrt(125)))*-3))**2.\nAnswer: 8\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -6\/13, -3, -1, -2?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -293 + 469. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 + 1.6. Let f = 0.7 - v. What is the third smallest value in 2\/9, -2, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1)*5 + (-705)\/(-105). Factor -8\/7*b - 8\/7*b**3 - h*b**2 - 2\/7 - 2\/7*b**4.\nAnswer: -2*(b + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**6\/120 - h**4\/8 + 7*h**2. Find the second derivative of f(p) wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 6412\/317?\nAnswer: 6412\/317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 d when three letters picked without replacement from dydyyypptwtppy?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 1, 5, -2 in increasing order.\nAnswer: -2, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 316*q + 84. Let r be b(0). Calculate the greatest common factor of 154 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1292*o - 2492. What is the hundreds digit of y(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 2*j + 32 = 0, 2*t - 2*j - 1944 = -1940 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.11 - 6.11. Suppose -150*i + 149*i = 5. Put 0, i, a in descending order.\nAnswer: 0, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 71943.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (88\/(-20))\/(2\/410). List the prime factors of 5 - (d + 6 + 0).\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35, -36, -37, -38, -39?\n\"Answer: -q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 986.812116 rounded to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.008 - 0.908. Which is the biggest value? (a) 3 (b) 0.026 (c) -0.2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - 2*s + 2*s)*(4 - 7 - 7)*(2 - 2 + 2*s**2).\nAnswer: -20*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 43 = -4*v. Let l be 22*v\/(27\/(-6)). Calculate the greatest common factor of 44 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13229 + 4083 + 8635 = -961*x for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1000) - sqrt(10))\/sqrt(5).\nAnswer: -21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + -3*(-1 + sqrt(176)*1*3).\nAnswer: -36*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -664557 - 8?\nAnswer: -664566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) 1\/30 (b) -3 (c) -5873 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -56986.9 rounded to the nearest one hundred?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 258507 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334*y = -331*y - 213. Is 69 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - u - 381694*u**3 - 344042*u**3 + 725738*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 3:53 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 10 + (72 - 81) + (9 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 19*k - 3 = -20*k, 2*m = 5*k - 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 258401 or 258399?\nAnswer: 258399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 719*f*p**3 - 2703*f*p*s - 15*p**3*s + 90*p**3 + 2*p**2*s + p**2 + 58*p + 2*s wrt f?\nAnswer: 719*p**3 - 2703*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.265 - -0.265. What is the third smallest value in c, -3, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7022347 to the power of 1\/2, to the nearest integer?\nAnswer: 2650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 22\/(-55) + (-12)\/70. Let w = 2299 - 2295. Find h such that 24\/7*h**3 - 62\/7*h**2 + b*h**w + 16\/7 + 12\/7*h = 0.\nAnswer: -4, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 81712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*((-117)\/(-24))\/(-13). Let g be 135\/12 + 3\/4. Solve j - g = -c*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6609677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19367 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -212*w + 75065. What is the remainder when (41\/3)\/(1\/3) is divided by a(354)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 535 + -452. What is the remainder when 494 is divided by p?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Let f(q) = -4*q + 0*q + 2*q + n*q. Let x(c) = -5*c**2. Determine f(x(i)).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 4 (c) -70 (d) -2 (e) -104 (f) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 0 - 9*f + 0*f**5 + 61\/210*f**7 + 0*f**4 + 0*f**6 - 19\/6*f**3 + 3*f**2. What is the first derivative of o(q) wrt q?\nAnswer: 244*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1124, -1138, -1170, -1226, -1312, -1434, -1598, -1810?\n\"Answer: -t**3 - 3*t**2 + 2*t - 1122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - x + 0*x)*(1 - 3*x**2 - 1 + (-x + 0 + 0)*(-2*x + x - x) + 0*x**2 + 0*x**2 - x**2)*(-2*x + 0 + 0).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 10) in base 15?\nAnswer: -8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*a = -42*a - 34. Solve a = -3*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 608 divided by 17279\nAnswer: 608\/17279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.115375757 to 5 dps.\nAnswer: 0.11538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 423561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 214 and 23637263.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44\/(-6) + (-10)\/15. Let n be (-8)\/(-20)*(25\/(-10) - -1). Which is the nearest to 2\/5? (a) n (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 - 1154825*r + 13857916\/3.\nAnswer: -(r - 4)*(r + 3464479)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784221 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/7 - 16812*s**2\/7.\nAnswer: -s**2*(s + 16812)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 5145*k**4 + 3*k + 5146*k**4 - 41*k**2 - 4*k - k as h*k**2 + t*k + x*k**3 + n + m*k**4 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 11042946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782706 is divided by 66?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1172 is divided by 59?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (4 - (-6 + 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-28)\/(-21))\/((-1)\/(-3)). Suppose 84 = -b*j - 2*h, 6*j - j = -h - 108. Let f = j + 13. What is f rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 bigger than -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 7*k - 12 = 0. Suppose 9*z = k*z + 150. Suppose -z = -5*w + 20. Calculate the remainder when 18 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 - 2*n - 1. Let y = -124 + 122. Give i(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4*m - 656, 2*m + 58 = 4*l - 628. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2. Let d(f) be the third derivative of -f**5\/120 + f**3\/3 + f**2. Let q(i) be the first derivative of d(i). Determine q(r(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 108*y**4 + 399012*y**3 + 374562280*y**2 + 11071464832*y - 3732121088 = 0.\nAnswer: -1832, -278\/9, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -134*c**4 + 2*c**3 - 3*c + 1677?\nAnswer: -536*c**3 + 6*c**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*y - 3112 - 1023 = 4170 - 465 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102020211020 + -2?\nAnswer: -102020211022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3\/17 + 5768*d**2\/17 + 52958*d\/17 - 150436 = 0. Calculate d.\nAnswer: -26, 17, 2893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2)*-2 - -5*sqrt(68)\/sqrt(4) - 5*(((sqrt(425)*-6)**2 - sqrt(17)) + sqrt(17))) + -5 + 2.\nAnswer: -76503 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -395947, -395981, -396015?\n\"Answer: -34*y - 395913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4}. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = 101*v - 105*v. Let k be v\/(-155)*3\/22. What is the third biggest value in k, 0, 2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.71 - -1.21. Suppose -1060 = 3*n - 2*i + 3*i, 2*i = 4. Let j = 2482\/7 + n. Which is the fourth biggest value? (a) j (b) -5 (c) x (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/26608276 and -87\/656?\nAnswer: 4363757264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -255334 + -35?\nAnswer: -255413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 817 divided by -5?\nAnswer: -817\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 5:55 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1780 and 890.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17842182 and 84078?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (2 - (-6 - -2)) + -3 + (-2373 - -2382)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -d0 (base 14) to base 5\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 504?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t - 4*t + 26*t + 2*t**3 + 19*t**2 + 10 - t - 5*t. Determine q(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 2:07 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a second in milliseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/13, -0.2, 0.4, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 12*l + 45. Let m be b(22). Let t = m + -178. List the prime factors of t.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2169776 is divided by 2169688.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3*k**3 + 8*h**3*k - 74*h**2*k + 114*h*k**3 wrt k?\nAnswer: 6*h**3*k + 684*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + -0.8. Suppose -2*q - 30 = -3*u, -6*u + 7*u - 21 = -3*q. Is u at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsajtshatsjatg. Give prob of sequence sth.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 6*l - 4*v - 7 = 0, -l - 3*v = 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 191096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(-2 + (sqrt(475) - -2*(sqrt(475) + 1 + sqrt(475))))**2 + 0.\nAnswer: 71250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2278793*f**4*w**2 + 2*f**2*w**2 - 2*f - 13*w**2 + 6480*w wrt f.\nAnswer: 54691032*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 u, and 1 m when three letters picked without replacement from umxvvzmzxuzxur.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - d - 1. Let l(c) = -419*c**3 - 4*c**2 - 3*c + 28. Let o(g) = l(g) - 3*y(g). Find the third derivative of o(p) wrt p.\nAnswer: -2532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 352, 2, 36, 1, -5 in decreasing order.\nAnswer: 352, 36, 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**0))**(-7)\/(c**4\/((c**(2\/9)\/c)\/c)) assuming c is positive.\nAnswer: c**(-52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6509147*d**2 + 20*d + 219148680?\nAnswer: -13018294*d + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12229\/38434)\/(((-10)\/4)\/5).\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.29 + 0.269. Let y = 2.042 + -1.021. Let p = y + v. Which is the third smallest value? (a) -2 (b) -0.06 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14925 - 10424. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25996*t*z - 201213*t - 2*z**2 - 2*z with respect to z.\nAnswer: -25996*t - 4*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + o + 12, -3*r - 3*o = -5*o - 12. Solve -r*j - 15 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12775 + -12771. Solve -2*q + 35 = 5*z + q, 0 = f*z + q - 21 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-3)*(-42)\/(-35). Suppose 0 = n - d*n + 3. Let l = -2 - -7. Which is the second smallest value? (a) l (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -129 (b) -5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -0.2715.\nAnswer: -3.5295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a7 - -aa?\nAnswer: -1ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 + 298 + 473 + 2*d + 0*d**4 - 933 as i*d + t*d**2 + a*d**3 + z + g*d**4 and give z.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 3\/8 (c) -0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5\/10 - 19*d**4\/10 - 3*d**3\/2 + 7*d**2\/10 = 0. What is d?\nAnswer: -1, 0, 1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b - 12 = 0. Suppose -10 = 2*z - b*z. Solve z*u + p - 6 = 0, -3*p = -4*u + p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101221 - -10013?\nAnswer: 111300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-18)*(-18)\/(-30)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 511 - 499. Suppose 75 = 3*p - 42. Suppose 6*v = 3*v + p. Is w at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 21. Let x(h) = -10*h**3 + h**2. Let d be x(1). Let k be m(d). Let t = 36 + k. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14645362 - 153?\nAnswer: 14645207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d. Let y(p) = -p. Let b(f) = 3*m(f) - 6*y(f). Let c(t) be the first derivative of 0*t - 1\/3*t**3 - 2 + 0*t**2. Determine c(b(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50078863*y - 100157726*y + 50078847*y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 7. Let r(g) = g**3 - 7*g**2 + 2*g + 13. What is the remainder when r(k) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - r**2 + r. Let z = -1 - 1. Let o be w(z). Is 3 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -13*r - 21*r + 39*r - r - 19*r. Let i(g) = g**2 - 13. What is i(m(a))?\nAnswer: 225*a**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*v = 7*g - 29, 0 = 3*g + 2*v - 31. Suppose -g - 19 = -2*p. Calculate the greatest common divisor of 52 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.909 + -0.091. Let y = 2452 - 2452.1. Which is the nearest to 2\/5? (a) y (b) 2\/23 (c) -0.3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 + 18*c**3 + 40*c**2.\nAnswer: 2*c**2*(c + 4)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 6*d**2 - 2*d + 2. List the prime factors of z(2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/552 and -95\/15976.\nAnswer: 1102344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -31, -50, -71, -94?\n\"Answer: -t**2 - 14*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2) + 114\/12 + -5)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-4)\/7*210\/(-36)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 13316325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 4. Let o be i(-3). What is the units digit of (-2)\/5*o*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3 + 1. Let q = 0.26 + -0.06. What is the smallest value in 0.1, q, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21330380 to the power of 1\/2, to the nearest integer?\nAnswer: 4618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 391 - 4. Let t = 82 + m. Suppose -2*w - 2*w + 450 = 2*z, 0 = -2*w - t*z + 235. List the prime factors of w.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 15650523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22380 + 42901. What are the prime factors of p?\nAnswer: 20521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9610 is divided by 1546.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 856556437?\nAnswer: 11, 77868767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -21*y**2 - 8*y - 8. Let h(f) = 29*f**2 - 43*f**2 - f + 0 - 4*f - 5. What is 5*b(z) - 8*h(z)?\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.6 + 23.6. Which is the fourth biggest value? (a) l (b) -0.2 (c) 1\/11 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5525206.43 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-42) - 209\/(-2). What is the highest common factor of 84 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/600825515?\nAnswer: -2\/600825515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*x + 3. Let a = -2 + x. Let g(w) = -w + 2 + 2*w - a. Give g(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -18*l**2 + 56*l + 278. Determine v(8).\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5 - -2) + 32 + -29 - 30\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025617238 rounded to 6 decimal places?\nAnswer: -0.000256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -321 - -276. Let i = -40 - j. Put -0.1, 0.2, i, -9 in ascending order.\nAnswer: -9, -0.1, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231176 and 3663?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 2*a**2 - 5*a - 6. Let m be h(-3). Solve m = -2*b - 3 - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168365?\nAnswer: 5, 151, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 43. Let z = v - 10. What is the greatest common divisor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125357, 124270, 122449, 119888, 116581?\nAnswer: 112522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 9*q + 231. Let j be r(-25). Solve j = -13*w + 15*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056371 a multiple of 661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000210388 to 6 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1691913? (a) -3\/4 (b) -1 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2. Let m(l) = 2253*l - 1125*l - 1128*l + 77*l**2. Give q(m(i)).\nAnswer: -5929*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 1 - 1 + (-3 - 3 + 5)*(l - 2*l + 2*l) - l + 4*l - l - 9*l + 19 - 19)*(-1 - 2*l**3 + 54*l**3 + 12*l**3 - 1).\nAnswer: -448*l**4 + 14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(143)*5)\/(sqrt(539) - (sqrt(539) + sqrt(539) + sqrt(539)*-2)*-1) + 5.\nAnswer: 5 + 20*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -25*l - 35. Is 10 a factor of m(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 3*l - 3. Let m be h(1). Suppose -r - 4 = 0, m*o - 2*r - 4 - 10 = 0. Is (2 - o) + 3 + 4 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r. Let d(f) = 6143*f. What is a(d(n))?\nAnswer: 6143*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -827.546353 rounded to the nearest 10?\nAnswer: -830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*m + 4. Let p be (-33)\/(-4) + 1\/m. Suppose -z + 3*z + 3*z = 5*l, 2*z - 20 = -3*l. Solve -3*t + p = -z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -66 - 56674?\nAnswer: -5672a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from padddpddadsddpadds. What is prob of picking 3 p and 1 a?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -5. Suppose -2*c + m*c - 40 = 3*n, 0 = 4*c + 4*n. Suppose c*w - 104 = u, w - 1 = -3*u + 7. What is the greatest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -21303714.\nAnswer: -9\/7101238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000243051 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 n when three letters picked without replacement from anaaqqau?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -964 + 966. Which is the second smallest value? (a) -5 (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g. Let v(u) be the second derivative of u**4\/12 + u**3\/6 - u. Let l(w) = 2*w**2 + w. Let q(k) = -l(k) + v(k). Determine q(x(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/12420*-46*87?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, j: 1, v: 1, p: 1, g: 2, t: 1}. What is prob of picking 2 t, 1 v, and 1 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by -33325\nAnswer: 23\/33325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44409.\nAnswer: 3, 113, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/64 and 61\/8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/12*(-3)\/(-6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -7 - 1) + (-2345 - -2354) + -6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(7\/2)*p*p*p**(-9))**(-34) assuming p is positive.\nAnswer: p**119","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-1 + sqrt(300) + 1 + -1)*-2*3*5 + 2))**2.\nAnswer: -172800*sqrt(3) + 2439216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45051030 a multiple of 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21b3 + -c?\nAnswer: -21bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/3 - 2\/(-3). Let j(o) = -o**3 - 2 - o**2 + 2*o**2 - p*o**2 - o + 2*o**2. What is j(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 3:11 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5 - 5)*(-a + 2*a - 2*a) - 1 + 1 + a + (-2 - 2 + 5)*(2*a + 2 - 2) as o + k*a and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 1. Let n(c) = -3*c**3 - 6*c**2 + 6. Let h(j) = 2*j - 9. Let b be h(-5). Let p = 18 + b. What is p*n(k) - 6*v(k)?\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 28975785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4152 (base 11) to base 9\nAnswer: 7483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 + 73*b - 15. Let r be t(-19). Let i be r\/(-4)*204\/119*-1. What is the highest common factor of 99 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2216 divided by 33.\nAnswer: 2216\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6476 + 4582. Is 3\/(-9) - a*3\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2234*z - 35 = -4*b - 2232*z + 27, -324 = 12*z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 763275527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18340 and 238051366?\nAnswer: 2380513660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 437*l + 1428 = 64*l - 103*l. Let w(y) = 3*y. Let c(a) be the second derivative of 5*a**3\/2 + a. Determine l*c(p) + 12*w(p).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2240 + 8962\nAnswer: 11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -11*3*-1 - 9\/(-3). Let n = h - 23. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**4 - 416*i**3 + 2716*i**2 + 144*i - 13968 = 0. What is i?\nAnswer: -2, 3, 6, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 46*u**2 + 23*u - 4. Let x be i(-22). Suppose 6*z - x - 4592 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 + 10*u**4 + 6*u**4)*(1 + 6 + 1).\nAnswer: 112*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/392609 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58037.51t to grams.\nAnswer: 58037510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 9. What is the remainder when 6 is divided by r(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -291 + 90. Let o be a + 12\/3 + -1. Let x(z) = 3*z**2 - 2. Let h be x(2). Calculate the highest common divisor of h and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**2 + 16*m**2 - 23*m**2 - 2 + 2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 3 + -10 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 1, -2235.4, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-348)\/(-36) - 8 - (-10)\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -386*b - 5*b**2 + 195*b + 216*b.\nAnswer: -5*b*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101010000011000 - -100110?\nAnswer: 110101010000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 610000 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -748 - -1451. Suppose -j = -0*k - 4*k - 3*g, -519 = -3*k - 5*g. Is k a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 8:43 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1854*x**4 + 4*x**2 + 14.\nAnswer: 44496*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3019 is divided by 602?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*(-16)\/5)\/(12\/(-30)). Calculate the highest common factor of s and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (-40)\/((-8960)\/(-5586)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4992 and 32.\nAnswer: 4992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/3))**(-1\/29)*(l*((l**(-2)*l)\/l)\/l)\/(((l*l*l\/l**(-1\/11))\/l)\/l*l))**(5\/21) assuming l is positive.\nAnswer: l**(-19685\/20097)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -122024 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 4*x. Let m = 971 - 719. Suppose x = -u - 8*u + m. What is the remainder when u is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -6 (b) 1\/6 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q**3 + 28*q**2 + 9. Let i(c) = 4*c**3 + 17*c**2 + 5. Give 5*i(v) - 3*y(v).\nAnswer: -v**3 + v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -750*i**3 + 268*i**3 + 193*i**3 + 352*i**3.\nAnswer: 63*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 639, 1261, 1883, 2505?\n\"Answer: 622*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/26071 and -77\/16124?\nAnswer: 14495476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/6)\/(4\/(-239)). Suppose 0 = -3*v + y - 178, 4*v - 5*v - 50 = -5*y. Let p = v - t. Which is the smallest value? (a) -0.1 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 + 171*i**3 + 2172*i**2 + 5004*i - 7344.\nAnswer: -3*(i - 68)*(i - 1)*(i + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, k: 2}. Give prob of sequence kkx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14129 or -14131?\nAnswer: -14131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seventy-five halves of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14\/691, -1, -0.3, 4.3, 5?\nAnswer: 14\/691","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*3 + -3 - (sqrt(108)\/sqrt(6))\/sqrt(9).\nAnswer: -3 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -385 + 387. Solve -3*v = n - 8, 4*n + 1 = -3*v + m*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (0 + sqrt(63) + sqrt(63))**2 + sqrt(7) + 4.\nAnswer: 2*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 646735, 1293453, 1940171, 2586889, 3233607, 3880325?\nAnswer: 4527043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) - ((sqrt(9)\/sqrt(3) + -4)**2 + sqrt(3)))) + sqrt(9)\/(sqrt(3)*-3).\nAnswer: -22*sqrt(3)\/3 + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*d**2 + 390*d**2 - 61050*d + 61050*d.\nAnswer: 47*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-580)\/(-25)*(1 + 6\/4). Calculate the highest common factor of a and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + m + 7, 3*q - 3*m - 5 = 4. Let t = -0.8 + 0.4. What is the second smallest value in -4, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7176705 - 10123295. Round d to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 5*y**2 + 169*y + 1057. Calculate d(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 22 = -2*z - 0*h, -1 = 3*z - 4*h. Suppose -2*c + 253 = z*i, 0 = -c + 4*i - 7*i + 127. What are the prime factors of c?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 11:32 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 0.3334953.\nAnswer: 0.6334953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + f - 9, -8*p - 3*f - 1 = -6*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340 and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 + (-2234)\/(-4) - (-2)\/(-4) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26134.493 days in weeks?\nAnswer: 3733.499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614.6227 milliseconds to microseconds.\nAnswer: 614622.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b - 2*b)*(-30*b - 70*b + 140*b).\nAnswer: -80*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-135)\/6*20\/(-25). Let a(f) = -10*f**3 - f**2. Let r be a(1). Let l = r + t. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v**2 - 8*v + 16. Let s(b) = -7*b**2 - 10*b + 20. Let n(q) = 5*f(q) - 4*s(q). Let t(p) = 1196*p**2. What is t(n(u))?\nAnswer: 4784*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (12 - 25) + -7\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 3*k - 4. Let y be 2 - (-1)\/((-1)\/(-3)). Suppose -5 - 10 = -y*n. Is 7 a factor of w(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 4, r: 1, b: 2}. Give prob of sequence br.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -598 + 614 - 472\/20. Let b = -6 - 1. Is a > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = -0*o. Let y be -1 + 3 - (-1 - -2). What is the remainder when 14 is divided by 2 + y + (o - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1974 divided by 1.\nAnswer: -1974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -37*c**3\/3 - 42. Let t(z) = 3*z. Determine n(t(d)).\nAnswer: -333*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + h = -2*f - 1021, -3*h + 2*f = 619. Let r = h - -200. Let k(d) = -2*d - 5. Calculate k(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240602610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*p + 3008, -m + p = 4*p - 758. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -849900 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 43, 0.1, -53\/9, 0.4 in decreasing order.\nAnswer: 43, 0.4, 0.1, -2, -53\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17321 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -245657, -245676, -245699, -245720, -245733, -245732?\nAnswer: -245711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 15 = a. Calculate the lowest common multiple of (-3)\/(-2)*20\/a and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -748854, -1497893, -2246924, -2995941, -3744938?\nAnswer: -4493909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -0.6. Let y = 1.1 + b. Let w = 0 + y. What is the nearest to -0.1 in 2\/3, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 65 (b) 20 (c) 2 (d) -2\/19 (e) -7.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 153 = 11*p. Let q be p\/(-4)*(1 - (-110)\/(-50)). Sort q, -5, 0, -1.\nAnswer: -5, q, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*k**2 - 150*k**2 + 283*k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/279 and -43\/540.\nAnswer: 16740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 22407780.8 to the nearest 100000.\nAnswer: 22400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/5)*(h**5*h)\/h*h)**34 assuming h is positive.\nAnswer: h**(1224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/343? (a) -1087\/5 (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2.1476 times 3\nAnswer: -6.4428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*d - 5*i - 14, 4*d - 2*i - 50 = 0. Calculate the remainder when 35 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/6)\/((-1 + 0)\/9). Suppose 0 = 77*r - 42*r. Factor 0 + 1\/2*j**t + r*j + 3*j**2.\nAnswer: j**2*(j + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36157.3 + 36157. What is the third biggest value in 6\/11, -94, y?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167460 divided by -55820.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1072274 + 0?\nAnswer: 1072274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 25 = -3*t + 11, 0 = -5*v + t + 30. Factor 6*c**2 - 10 - v*c**2 + 6*c**2 + 5*c.\nAnswer: 5*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/48)\/(4\/(-184)). Let k = 1042 - 1045. Are z and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 21110011022020?\nAnswer: 21110011022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 54 (b) -2 (c) 547 (d) -0.4 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/(-4))\/(6\/228) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/14*(-194)\/873\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798096 = -12*g - 4*g. Let v = -57322 - -147203. Let u = v + g. What is u rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**6\/270 + 13*a**5\/45 - 137*a**4\/36 + 524*a**3\/27 - 344*a**2\/9 + 377*a. Factor f(q).\nAnswer: -(q - 43)*(q - 4)**2*(q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 279*s + 3 + 260*s - 3*s**2 - 543*s. Calculate z(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) 0.1 (c) -2\/21 (d) 342 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/15 (b) -1\/5 (c) -2 (d) -20\/179\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 413 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1085 + 1175. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1155 and 142065?\nAnswer: 142065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2077\/2, -2, 3.6, 1\/3 in increasing order.\nAnswer: -2, 1\/3, 3.6, 2077\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 160 - 117. What are the prime factors of p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 0*a = -35 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-1)\/(-2))\/(77\/2233)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(15\/5)*-9)\/1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**4 + f**2 - f**4 - 4*f**4 - 46 + 43 to w + u*f**2 + k*f**3 + j*f + l*f**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {o: 1, d: 1, b: 1, w: 5, v: 4}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4156*f. Let z(w) be the third derivative of w**4\/8 - 2*w**2 - 118. Calculate z(r(c)).\nAnswer: 12468*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-2\/3)*o)\/o)**(-2\/5)*(o**2*o)\/o**(-1\/11) assuming o is positive.\nAnswer: o**(422\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**1\/t))\/t)**(-18)*(t**(-1)\/t)**(1\/8))\/((t**(-1\/6)\/t**(-6))\/(t**(2\/7))**47) assuming t is positive.\nAnswer: t**(617\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -8*g + 297. What is the third derivative of -30*a**2 - 5*a**5 + 4*a**5 + g*a**5 - 20*a**2 wrt a?\nAnswer: 1920*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 253*q + 17. Is d(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 10312*w + 6892. Let l be h(-11). Round l to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jccc when four letters picked without replacement from {j: 5, f: 1, c: 3, y: 7, u: 2}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/(-21)*(-32)\/64\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = 0, -5*x - 4*f = -0*x - 213. Let a be (-39)\/(-12) - 3 - x\/(-12). Solve -5 = a*i - 21 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11 - (-344)\/32)*6)\/((-3)\/54) - 10.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19351 + -14308. What are the prime factors of x?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 2 - 2 + 2*f - 5 + 5 + (f + 2*f - 4*f)*(-1 + 1 - 2) - 5*f + 3*f + f + (11 - f - 11)*(-7 + 2 + 3) - 2*f + 0*f - 6*f)*(-5*f**3 + 4*f**3 - f**3).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 3 (c) -0.1 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439 + 274 = -33*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**36*(k*(k\/(k**7\/k))\/k)\/k*(k**31)**(-6) assuming k is positive.\nAnswer: k**(-156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -2 - -1 - -6*9. Let k = -59 + q. Let a be ((-2)\/(-9))\/(k\/(-27)). Solve -y = y - a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.084 + -1.2. Let s = -61.116 - k. Let a = s + 47.5. Round a to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 + 8*a - 63. Let q(o) = 6*o**2 + 16*o - 125. Let h = 130 + -119. Let k(j) = h*n(j) - 6*q(j). What is the first derivative of k(g) wrt g?\nAnswer: -6*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -s + 5*h, 2*h - 28 = -2*s - 2*h. Solve -s*j - 5 = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.063016685 - -13027.\nAnswer: 13026.936983315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 10*b**2 - 4*b + 3 + 3*b to the form l + d*b**2 + s*b and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 18, a: 2}. Give prob of picking 3 z.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1. Let h(g) = 2*g + 9. Suppose 0 = -3*k - 2*r + 316, 0*r + 4*r - 20 = 0. Let j = 338 + -235. Let t = k - j. Give t*h(v) + 6*c(v).\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 104*a**2 + 950*a - 1968.\nAnswer: 2*(a - 41)*(a - 8)*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000678744 rounded to 6 dps?\nAnswer: -0.000679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmcm when four letters picked without replacement from mgjccccgmygyyjtcytg.\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 380, 2916, 9794, 23186, 45264, 78200, 124166, 185334?\nAnswer: 263876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1747*a + 28. Let n(t) = 581*t + 10. Give -4*i(l) + 11*n(l).\nAnswer: -597*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4618308406?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**2 - 4*l + 2. Let b be o(1). Let f be 8*b\/(-18) - -2. Determine i, given that 22\/9*i + f + 146\/9*i**3 + 112\/9*i**4 + 86\/9*i**2 + 32\/9*i**5 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.88 + -4.17. Let q = 0.59 + r. Put 0, -5\/6, q in decreasing order.\nAnswer: 0, q, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = 164 + 7. What is the tens digit of (0 - -1)*x\/(95\/(-405))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 13*p + 1036. Suppose -3*l + 4 = -2*l. Suppose 2*o + 26 = l*o. What is the remainder when k(-77) is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 28*o**2 + 127*o - 26. Calculate r(-32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.91114 and 0.3.\nAnswer: -0.273342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 - 614*w\/7 - 2784.\nAnswer: 2*(w - 336)*(w + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*n + w, -4*n - 3*w + 5 + 3 = 0. Solve t + 2 = n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -1612*w**2. Let p(l) = 2*l**2. Calculate r(p(v)).\nAnswer: -6448*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -12 + 54. Let c = 1391 - 1300. Suppose 0 = -93*x + c*x + 140. What is the greatest common factor of b and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 4 - 45) + 4. Let t = 61 + n. What is the remainder when t is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 9)*1\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from {r: 1, z: 1, l: 4, x: 1, h: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, t: 4, o: 3, l: 2}. Give prob of picking 2 o and 1 t.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {a: 1, r: 2, v: 2, q: 3, n: 2, w: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 5, y: 4}. Give prob of sequence dy.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1035 = -68*o + 63*o. Let j = o + 216. Calculate the remainder when 21 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*a - 734 - 297 + 71 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 22. Let k be 3\/(6\/(-76))*(-20)\/40. Let g be w(k). Suppose d = -g*d + 4. Solve 3 = o - d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 105021924.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from kaksbayskyssssusba.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.2611 + 0.0211. Let s = d + 0.24. Let q = s + 17. Which is the smallest value? (a) q (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**5\/110 - 43*f**4\/33 + 85*f**3\/33 - 2592*f - 1. Factor r(d).\nAnswer: 2*d*(d - 85)*(d - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*p**3 + 26*p**3 - 12*p + 15 - 15.\nAnswer: -3*p**3 - 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6*j**3 + 10*j**2 + 4*j - 39. Let p(r) = 4*r**3 + 7*r**2 + 3*r - 26. Determine -5*c(q) + 7*p(q).\nAnswer: -2*q**3 - q**2 + q + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t**3 - 3*t**2 - 3*t - 3. Let x(s) be the second derivative of -s**5 + 2*s**4\/3 + 4*s**3\/3 + 4*s**2 - 10*s + 45. Give 3*x(i) + 8*z(i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/10*5*1 + -5. Let y(o) = 29*o - 3 - 3*o**3 - 33*o + 3. Let z(x) = -x**3 - x. Determine k*z(p) + y(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15382363*d**3 - 3*d**2 - 1385*d - 234 wrt d?\nAnswer: -92294178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1820183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -30193.5842 rounded to the nearest 100?\nAnswer: -30200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 5*d**2 - 6. Let y be r(5). Let l be ((-6)\/4)\/(27\/180) - -4. Is l bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8485398167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3228 - -15?\nAnswer: -3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32035277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*c**2 + 111*c wrt c?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2572 - -171.5572. Let j = -186 + o. Round j to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+799340\nAnswer: 799339.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 2*i - 3. Let x be h(3). Suppose 7*l - 111 + 41 = x. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2510312?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 15. Let n(k) be the third derivative of 1\/12*k**4 + 10*k**2 + 0*k + 0*k**3 + 0. Determine n(m(w)).\nAnswer: -2*w - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14975113?\nAnswer: 17, 51817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 52 = r - 52, -3*r - 2*d = -312. Calculate the greatest common factor of 65 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) -0.05 (b) 1 (c) -0.3 (d) -11 (e) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 1:14 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.145267489 + 0.3.\nAnswer: 0.154732511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -6. Let i be (-2 - r*-2) + 5. Let b = -1 - 1. Sort -5, b, i in increasing order.\nAnswer: -5, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -505?\nAnswer: -505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i. Let l(w) = -2*w - 47 - 1685*w**2 + 2*w + 1679*w**2. Determine t(l(m)).\nAnswer: 18*m**2 + 141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -66 (b) -4 (c) -32 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4288.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.36 - 0.04. Let d = s + -0.1. Let y = -163 + 1469\/9. What is the second smallest value in y, -4\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((0 - (-3 + 6)) + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/sqrt(4))**2 + -5 - (sqrt(50)\/sqrt(360))**2) + (-5 + sqrt(45) - (sqrt(5) + 3 + -3)).\nAnswer: -185\/36 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5752)\/34)\/(18*(-9)\/18 - -11). Is h bigger than -85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8076.5 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - u + 3*m, 4*u + 2*m + 6 = 0. Calculate the common denominator of (-155)\/45 - u\/6 and (-14)\/3*78\/(-16).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42635 take away 0.5?\nAnswer: -42635.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -4\/15, 7\/45, -0.05, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24108 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -21*c**2. Let z(y) = -13*y + 2. Determine d(z(i)).\nAnswer: -3549*i**2 + 1092*i - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -351977.99967 + 351976. Let g = y - -2. What is g rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 2:25 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 2:38 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/(((-128)\/(-12))\/8)*6\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*o - 12*o + 10*o + 8*o to the form b*o + s and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 13*h + 60. Let w be (2\/5)\/(8\/h). Which is bigger: -2\/11 or w?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - -29 - (-7 + -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -149*m - 613. Calculate c(-5).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*h**3*j**3 + h**2*j**3 + h*j**3 + 6*h*j wrt h?\nAnswer: -60*h*j**3 + 2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*-863*(20 - 21).\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssub when four letters picked without replacement from {s: 4, v: 2, b: 4, u: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -611*s - 12123 = -749*s - 3291. Calculate the highest common divisor of s and 3232.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = w - 18, 5*w = -3*u + 32 + 41. Let n(q) = -q**2 + 11*q + 34. Give n(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*u = -13, 6 - 1 = b + 5*u. Calculate the greatest common divisor of 40 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**2 + 4*a + 1. Suppose 0 = -15*l + 5*l - 10. Let t be p(l). Let g(v) = 2*v**2 - 6*v + 3. Determine g(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/56076 and -131\/728988.\nAnswer: 728988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12828*w**3 + 13*w - 140 wrt w?\nAnswer: -76968*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 15032469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188527, -377052, -565577, -754102?\nAnswer: -942627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -216 - -216.0152. What is v rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.605661374 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13653 is divided by 195.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2876055 and 12740.\nAnswer: 11504220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*m - 16*m - 363 - 120 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32888 + 49008. What are the prime factors of r?\nAnswer: 2, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -61\/16755 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -77249\/291 less than -266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.9845 and 35100076509?\nAnswer: 35100076509.9845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**5\/20 + 7*a**4\/16 + 3*a**3\/2 + 5*a**2\/2 + 2*a + 90. Factor g(r).\nAnswer: (r + 1)*(r + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -1229?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119.457 + 120. Let h = g + -0.043. Let f = -5 - -3. What is the second smallest value in 0, h, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -279*z**3 + 38*z**2 + 72*z. Let u be g(-2). What is the greatest common divisor of u and 4320?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5549522 divided by -193?\nAnswer: -28754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143373*z - 46 - 143326*z + 19 + 15 + 12.\nAnswer: 47*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.49 - 1.89. What is the third smallest value in 4, -45, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 5:28 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26942 by 1.\nAnswer: -26942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -221?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**8\/56 + 16*d**7\/15 + 157*d**6\/30 + 8*d**5 + d**4\/12 - 40*d**3\/3 - 169*d**2 - 1. Let q(t) = 0. What is t?\nAnswer: -1, 1\/3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 - 0.12. Let w = v + -0.4. What is the closest to -1\/2 in w, 0.4, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 5 + 4 + 11*i as a + d*i and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*h**3 + 19*h**3 + 7*h**6 - 7*h**3 + 5*h**2 wrt h?\nAnswer: 840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132222 (base 5) in base 7?\nAnswer: 21326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1135224 divided by -6.\nAnswer: 189204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -348133259 + 3595?\nAnswer: -348129664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 14*v**3\/3 - 4*v**2 - 4*v - 67. Let s(z) = -12*z**2 + 7*z + 4. Let c(f) = 5*g(f) + 6*s(f). Determine t, given that c(t) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011 bigger than 30111\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17766739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 12:54 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -125796476, -251592952, -377389428?\n\"Answer: -125796476*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -97*i - 12. What is o(1)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 3*r**2 - 2*r. Let x be p(2). Let q = 9 + -11. Let s = q - x. Calculate the remainder when 22 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -0.3, -25, 23, 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**4 - 15022152*x + 15022150*x + x**3 + 10*x**2 + 2 + 2*x**3 to the form c*x**4 + r*x**2 + p + h*x**3 + y*x and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61 - 82*w - 61 + (-3 + 3*w + 5 - 5*w)*(0 - 5 + 3) to the form i + p*w and give p.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38152, 38171, 38190?\n\"Answer: 19*a + 38133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 372 - 360. Solve 13 = 5*j - q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 107, 209, 313, 419?\n\"Answer: x**2 + 99*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1070 = v, 0 = 3*y - 0 + 6. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13522213 a multiple of 519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*((s**(-3\/2)*s)\/s)\/s))\/s**(-28) assuming s is positive.\nAnswer: s**(59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 - 138*s**3 - 426*s**2 - 430*s - 144.\nAnswer: 2*(s - 72)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(288))\/((2*sqrt(99))\/sqrt(11)))**2 + -1 + sqrt(50) + (sqrt(242) - ((sqrt(242)*1 - sqrt(242)) + sqrt(242)))**2.\nAnswer: 7 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-129)\/86 + (-11)\/(-2). Suppose -5*h - 424 - 181 = -2*u, 0 = -5*u - k*h + 1562. List the prime factors of u.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4110 and 15?\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**2 - 95936*m + 2300929024 = 0.\nAnswer: 47968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 20*v**2 + 100*v - 572. Give w(6).\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**2 + 6076*m - 12144 = 0.\nAnswer: 2, 3036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1772692 to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-4))\/((-160)\/(-320))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 255686, 511326, 766966, 1022606?\n\"Answer: 255640*h + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 58 + 3*g - 2*g + 0*g + 59. Suppose -106*l + 15 = -101*l. Determine h(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 4*j + 10. Find the third derivative of 9*l**3 - 4*l**j + 2*l + 2*l - 4*l wrt l.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 426113\/66396 + -6\/5533. Find the common denominator of 31\/24742 and i.\nAnswer: 148452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 11*g - 4. Let a be -1*(g - 16\/4). Suppose -10*q + 22210 + 4860 = a. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/2 (b) -1.409 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f**3 + 0*f**3 + 5*f**3)*(1086*f + 736*f + 713*f - 593*f + 258*f) to x*f**3 + v*f**4 + h*f + i*f**2 + s and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 5*p + p + (-10 - 177 + 58)*(3*p - 3*p + 5*p) + 2 - 2 + 2*p + (1 + 1 + 0)*(-3*p + 0*p + p).\nAnswer: -649*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 4*h**2 + 525*h - 5838. Suppose -250 = -3*w + 2*w. Calculate the remainder when w is divided by v(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-38)\/m**(-6)*m**(-1\/64)\/(m*m**18) assuming m is positive.\nAnswer: m**(-3265\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 39. What is the closest to j in -0.2, 3, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -114.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 3807?\nAnswer: 380.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmgdgxbmmgdgxgggggzx. Give prob of sequence xz.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/36 - (-22)\/(-33).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3.24003 * -1\nAnswer: -3.24003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89.000041 - 89. What is q rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008152367 rounded to 5 dps?\nAnswer: 0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 87 + 8*o + 28 + 4*o**2 + 27 + 0*o.\nAnswer: 4*o**2 + 8*o + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 511 or 372?\nAnswer: 511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.3 (b) -0.2 (c) 629 (d) -934\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -6.3, 2, -1\/29, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 423075*d**2*l - 2*d**2 + d*l - 6802312 with respect to l.\nAnswer: 423075*d**2 + d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2235 (b) 2268 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28399\/6 or 2?\nAnswer: -28399\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + l**2 - 1. Let j(p) = -p**3 - p - 1. Let o(x) = 10*x**3 + 7*x**2 + 8*x. Let n(w) = 6*j(w) + o(w). Calculate -6*h(q) + n(q).\nAnswer: -2*q**3 + q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/3185)\/((-6)\/42).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 3, -4 = -4*z - 0*j + 4*j. Suppose -3*q = z*g - 1153, 0 = 2*g + g + 3. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2*s - 5 = 0, -205*k + 5 = -209*k - 3*s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i + 4. Let c be (14\/(-8))\/(6\/(-24)). Let q(u) = -u**3 + 7*u**2 - 2*u + 10. Let z be q(c). Calculate b(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 384 and 5673 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 - 6*b**2 - 6*b**2)*(2*b + 0*b + 0*b)*(3*b - 6*b + 2*b).\nAnswer: 14*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 2\/7 (c) 0 (d) 19\/730 (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -447842.581 and -4?\nAnswer: 1791370.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 - 2*z**3 + 3*z**2)*(z**2 - 4*z**2 + z**2) - 2*z**5 + 6*z**5 - 3*z**5 + (z - z + z**3)*(-2*z**2 - 5*z + 5*z).\nAnswer: 3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9))**(-5) assuming v is positive.\nAnswer: v**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzt when four letters picked without replacement from {t: 4, z: 10}.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o**2 + o. Let x = -11 - -6. Calculate the smallest common multiple of x*(0 - 12\/10) and g(-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 3. Let t = 3139.6 + -3140. Which is the nearest to n? (a) t (b) 0.4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(304)*-2 + -3 + sqrt(152)\/(sqrt(8)*-1) + (-2 + (sqrt(475)*2)**2 - sqrt(475) - (sqrt(475) + -1 + -1))*-6.\nAnswer: -11406 + 51*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001740211 rounded to 7 dps?\nAnswer: 0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 164\/1099 - 1\/157. Let w = -1590.4 + 1590.4. Sort 2\/19, w, m, 0.1 in ascending order.\nAnswer: w, 0.1, 2\/19, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -101011?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 6*o + 7. Determine j(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11, -23, -51, -101, -179, -291, -443, -641?\n\"Answer: -k**3 - 2*k**2 + k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24535305 (base 6) in base 10?\nAnswer: -790457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 105 + -103. Let g(t) = t**3 + 6*t**2 + 7*t + 10. Let l be g(9). Suppose q*h - l = -6*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.8 - 2.2. Let p = -13 - j. Is -1 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -8 - -3) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 6. Is 1911\/6 + 9\/o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8364)\/510*(-4435)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.2, -2\/31, -1, -0.034?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/(s\/s**(-1\/2)))\/s*s*s**(-6))\/(s**(-2)\/(s*s**(-2\/9)*s)) assuming s is positive.\nAnswer: s**(-31\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from {k: 15, b: 3}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 10*p - 8. Let y(b) = 3*b**2 - b + 2. Let u be y(2). What is the lowest common multiple of x(u) and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 1 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 24392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**5 - p**4 + 2*p**2 - 2*p. Let r(k) = -1115*k**5 - k**4 + 2*k**2 - 1195*k. Let m(i) = -o(i) + r(i). Find the second derivative of m(q) wrt q.\nAnswer: -22320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -10*l + 84. Determine h(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/35 - (-20)\/(-70)) + 253\/55. Solve -5*u = a*k - 5, 4*k + 6 = -u - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t. Let p be o(-1). Let z = p + 2. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12022221 (base 3) to base 6\nAnswer: -25554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 8*m + 11*m + 9 = 0, -29 = -5*w - 2*m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 0.97?\nAnswer: -9.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2777866.\nAnswer: 2, 7, 13, 15263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.321134 to two dps.\nAnswer: -46.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -88\/13?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3313 = 3311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 3*q. Suppose 3*w = 8*w - 70. Let x be 360\/(-84) + 4\/w. Let s be z(x). Solve -3*f - s = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -2 - 3*s + 26*s**2 + 7\/2*s**3. Differentiate b(g) wrt g.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**3 + 0*x**3 - 17*x**3.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**2 + 7*m + 3. Calculate b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w - 24*w - 109*w - 165*w + 1316 = 0. Suppose 9*q**3 - 9*q + 0 + 3\/2*q**w - 3\/2*q**2 = 0. What is q?\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 plus -5.613060053?\nAnswer: -70.613060053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3) - (-1612)\/(-12). Let x = i + 286. Calculate the remainder when x is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -828.999481 - -829. What is a rounded to five decimal places?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118\/93 - -2\/31. Let s = -0.074 + 0.044. Let k = -0.43 - s. What is the second biggest value in k, q, -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17400.0751 to the nearest ten.\nAnswer: 17400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3932 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2 + 6. Suppose -6 = -5*n - y, -18 = -5*n - y + 3*y. Suppose -m*r = -n*r. Which is the nearest to -0.1? (a) -4 (b) r (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 4*g + 1. Let x be h(-3). Suppose 6*c = -c - x. Let z(d) = -4*d**2 - 1 - d**2 + 0. What is z(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 10 = -3*o, -4*o - 5*t + 2 = -6*o. What is the nearest to 1 in 0.03, o, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 4*x**2 - 5*x + 2. Let g be d(5). Let u(y) = -y + 48 - 2*y - y**g - 9*y - 24. Is u(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**5\/4 + 555*b**4\/2 - 137379*b**3\/4 + 1444116*b**2 - 2786304*b + 1376256 = 0. What is b?\nAnswer: 1, 112, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -4\/9*t + 4\/27*t**3 - 9 + 1\/9*t**2 - 1\/18*t**4. Solve g(b) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -8*v + q, -5285*v + q - 4 = -5287*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 5*a + f = 0, -a - 2*f - 8 = -f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85561?\nAnswer: 7, 17, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10353376003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**0*l*l**(-4)\/l)**(-6\/31)\/(l**(4\/13)*l\/(l**15\/l)*l)**(-41) assuming l is positive.\nAnswer: l**(-192958\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -483*s + 43. Is b(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000641695202 rounded to 7 decimal places?\nAnswer: 0.0006417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.43\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-2 + (3 - -3))) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 + 4*h**2 + 0 - 7 + 5 + 3*h**3 + 5*h**4 in the form p*h**2 + g*h**3 + z + v*h + d*h**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-158)\/(-6) + 7\/(-21). Let p = o - 26. Solve -5*v - 11 + 1 = p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3364 = -12*y + 68. List the prime factors of y.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 f, 1 z, and 1 t when four letters picked without replacement from wwtttwfztuzt.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -345, -1571, -3701, -6753, -10745, -15695, -21621?\nAnswer: -28541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3189497 is divided by 1594712?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6464197\/25 or -258569?\nAnswer: -6464197\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -66. Suppose 77*y - 75*y - 12 = p. Let h(j) = j**3 - 7*j**2 + 4*j + 6. Determine h(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(40)\/sqrt(2)*1)**2*4 + 5.\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 8*k**2 + 14*k - 9. Let q(c) = -c. Let l(a) = 5*q(a) + r(a). Let u be l(7). Let v(b) = -b**3 + 5*b**2 + 4. Calculate v(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a + 2*a + a + 1293*a**3 + 6*a.\nAnswer: 1293*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1856*y + 1844. Give k(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -617\/8 - -77. Let d = 32 + -32. Put 0.3, d, n in descending order.\nAnswer: 0.3, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02496624 and -5.\nAnswer: 0.1248312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - k = -8 + 15, 5*k + 23 = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.2053g in tonnes?\nAnswer: 0.0000092053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 210 - 210. Let r be 2 + 2 - 4 - (q - 10). Let g = -39 + 64. What is the highest common divisor of g and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -121280900 to the nearest one million.\nAnswer: -121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 71?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a**2 - 9*a - 76. Give y(-4).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 631008 and 31648.\nAnswer: 624066912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30667, 45364, 60061, 74758, 89455, 104152?\nAnswer: 118849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -64208 divided by -4?\nAnswer: 16052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-351)\/(-6))\/13)\/(3\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, z: 2, u: 10}. Give prob of sequence rzr.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/1)\/(4\/38). Let z = d + -21. Let s(b) = -5*b - 3. Let a(q) = -11*q - 7. Let w(x) = 4*a(x) - 9*s(x). Calculate w(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 + 5*g - 2. Let f(m) = 2*m**3 - 1614*m**2 + 130*m - 52. Let d(p) = -52*b(p) + 2*f(p). Factor d(t).\nAnswer: 4*t**2*(t - 846)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1551.2 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -17 (c) 67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 1) + 0 + -11. Let x(o) = -o**3 - 9*o**2 - o - 7. Let n be x(d). Solve -5*i + n*i + 9 = 0, 3*i = 3*v - 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 4*g. Suppose g = -4*l + 2*d + 312, 3*l + 69 = 4*l + 4*d. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.59 times 18.4318\nAnswer: 29.306562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 - 0.61. Let m = u + -30.4. Let l = m + 31.00144. What is l rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6074, -6087, -6102, -6119, -6138?\nAnswer: -6159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 566828, 1133083, 1698176, 2261525, 2822548, 3380663, 3935288?\nAnswer: 4485841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 4. Let t be u(4). Suppose 2*c - 7*c + 8 = n, t = n + 2. Suppose -6*y = -c*y - 812. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, -5, 7 in ascending order.\nAnswer: -5, 7, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22181627861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*c - 8472, 2 = -2*c + 4*c. List the prime factors of z.\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Suppose -j - 4*j + 10 = d. Let n be 0 - ((-18)\/(-21))\/3. Put -2, j, n in decreasing order.\nAnswer: j, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8 = -3*q - q, -4 = -q - 2*d. Suppose q = -2*x + 6*x - 800000. Suppose 0*y - y = x. What is y rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3066544.3101001 - 3066528.75. Let s = n + -15.56. What is s rounded to six dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -4.61 (c) 5 (d) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 4*m + 7. What is k(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 535 + -292. Calculate the highest common divisor of 54 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 10:23 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m + 1. Let a be y(-1). List the prime factors of ((-24)\/a)\/((-7)\/(-35)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-441)\/14*-1*2\/(-3). Let m be j\/3 + (-536)\/(-76). Which is smaller: 1\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**2 + 58*h - 14. Let y(q) = -q**2 - 19*q + 5. Let p(v) = 3*n(v) + 8*y(v). Let l be p(-5). What is the units digit of ((-536)\/(-6))\/((-8)\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22058.388 months in centuries?\nAnswer: 18.38199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -199373 - -199424. Determine x so that -v*x**3 - 99\/2*x**4 + 48*x**2 + 3\/2 + 51*x = 0.\nAnswer: -1, -1\/33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6, -0.1, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 259965?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxrrxarrxrxkkpkrr. Give prob of sequence kkra.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8095*1935\nAnswer: 15663825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*s**3 + 1014 + 266*s**3 - 1014 + (-3*s**2 + 5 - 5)*(-8*s - 3*s + 4*s) to the form z*s**2 + v + j*s**3 + d*s and give j.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.439 rounded to zero decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14380941?\nAnswer: 3, 389, 12323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -10221?\nAnswer: -10213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18504191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4816 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(72)*-3 + sqrt(72) + -2 - (sqrt(72)\/sqrt(192))\/((sqrt(108)\/sqrt(3))\/sqrt(12)))**2.\nAnswer: 121*sqrt(2) + 14673\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 150*b - 1049. Let h be m(7). Let l(u) = 6*u**2 - 4*u + 4. Let k(z) be the second derivative of z**3\/6 - z**2\/2 - z. Calculate h*l(p) + 4*k(p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -1431?\nAnswer: -1423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 1. Let a(r) = -7*r - 18. Let f(n) = a(n) + 6*o(n). Let z be f(10). Let c be (3\/2)\/((-11)\/z). Solve 6 = c*d, -3*u - 2 = 5*d - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*o - 845239 + 1712900 + 9832014 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 7*h - 2. Let n be l(8). Let s(y) = 3*y. Let x be s(n). Let f = x + -14. Solve -12 = 4*q + f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -471.15 + 481. Let g = -10 + o. Let q = 0.35 + g. Which is the nearest to q? (a) -5 (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 684 divide 1222448904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - 121022200?\nAnswer: -121022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 864 and 154.\nAnswer: 66528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*d**3 - 6271*d - 6263*d + 12472*d as o*d + a*d**3 + b*d**2 + k and give o.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1921 (base 12) to base 2.\nAnswer: -101111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100001 + 0?\nAnswer: -110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14125, 13993, 13861, 13729, 13597, 13465?\n\"Answer: -132*z + 14257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -943452*g**2*q**4 + 310*g**2 - 11*g*q**2 + 5932*g + 7 wrt q.\nAnswer: -3773808*g**2*q**3 - 22*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32446758?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or -383.1997?\nAnswer: -383.1997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 11:56 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8704253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*q - 304, 9*q = 7*q + 3*f - 162. Let n be (-13)\/(q\/36) + 10 - -2. Solve -3*l = 33 - n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**5\/2 - 2783*o**4 - 6754153*o**3\/2 + 1416719764*o**2 - 11170945352*o + 22233111040 = 0.\nAnswer: -2947, 4, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 - -104. Let b be 2 + (1 - f)*-1. Suppose -3*j + j + 37409 = b*x, 5*j - 3*x = 93491. What is j rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 + 20 + 91 + -84\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(-2*k + 3*k - 2*k) - 10*k + 0*k - 3*k - 2*k + 1 - 1 + 2*k + k - 5*k - 3*k + 3*k + 2*k to h*k + u and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 221639443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f + 8. Calculate m(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-79 + 16)*(13\/2)\/1. Let i = f + 409. Let z = -3 - -2. What is the closest to z in i, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1149170 is divided by 494.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j. Let q(v) = -165778*v - 105. Let r(p) = 62167*p + 40. Let b(k) = 8*q(k) + 21*r(k). Calculate z(b(n)).\nAnswer: 20717*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3987795 and 2330?\nAnswer: 7975590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 193343119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 510\/357*42\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 q when two letters picked without replacement from qssffqsfchqssffsf.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15404913 is divided by 366783?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*z**2 - 57*z**2 + 193*z**2 - 61*z**2 - 4*z**2.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 605632706 and 932?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b**2 - 270*b - 152. Let x be l(-38). Solve -44*g + 68*g + 72 = x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m - 15 - 41. Let x = 63 + m. Calculate the greatest common factor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156*(-40)\/(-104)*4\/36\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.95308ml in litres?\nAnswer: 0.05395308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f = -6. Let j be ((-3)\/(-4))\/((-2)\/(-40)). What is the units digit of j + f\/(-6)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61579136 times -0.4\nAnswer: -24631654.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 - 59. Let g(c) = 3*c + 43. List the prime factors of g(f).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 7*u + 39\/4*u**2 + 3*u**3 + 1\/4*u**4.\nAnswer: u*(u + 1)*(u + 4)*(u + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40092823039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 5:24 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 a when three letters picked without replacement from aeaaeaaa?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-8)*-4*(-2)\/4. What is c rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/29230 and 19\/20?\nAnswer: 58460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggqg when four letters picked without replacement from rgkggrqkkkrgkrr.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 3*u + 2*u)*(-3*u - 2 + 2)*(3*u - 2*u + 0*u) + 0*u + 0*u - u**3.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/6 (b) -1.46201 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/19)\/c)\/((c**(3\/22)\/c)\/c*c)*((c*((c\/(c\/((c*(c\/(c\/c**(-14)))\/c)\/c)))\/c)\/c)\/c)\/(c*c**(-10)) assuming c is positive.\nAnswer: c**(-3335\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/((k**(-2\/9)\/k)\/k))))\/k**(-1\/3) assuming k is positive.\nAnswer: k**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4024654 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2)*(-3 + 3). Suppose -32*n + 64*n = -160. Sort -6, b, n, -2 in ascending order.\nAnswer: -6, n, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*y + n + 2, 0 = -3*y + 2*n + 5. What is the closest to y in 4\/7, -5, 3\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntyn when four letters picked without replacement from {u: 1, y: 1, b: 2, t: 1, n: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 324076045 to the power of 1\/2, to the nearest integer?\nAnswer: 18002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1378, -1380, -1382, -1384, -1386, -1388?\n\"Answer: -2*q - 1376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**4 - 3*j**4 + 6*j**4)*(298 + 964 - 168 - 108).\nAnswer: -2958*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -180 + 413. Let n = -198 + o. What is the lowest common multiple of 77 and n?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/85127 and -35\/24322.\nAnswer: 170254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0526 * 0.3.\nAnswer: 0.01578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -22728 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1262 divided by -634?\nAnswer: 631\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -28*a - 24. Let z(p) = 143*p + 115. Determine -11*k(f) - 2*z(f).\nAnswer: 22*f + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/6 and 9\/48*((-2080)\/(-45) - 4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1173.\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 747231 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 0.2, -2\/7, 1, -6.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2443 - -4?\nAnswer: -2434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39013909?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*d**3*l**2 + 4*d**3*z - 24*d*l*z + 2*d*l - 2*l**2 wrt d.\nAnswer: 132*d*l**2 + 24*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 z when three letters picked without replacement from pzppzpz.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*sqrt(1900)*-1 + sqrt(1900) + -1 + 2 + -4*(sqrt(1900) + 0 + -3 + sqrt(1900)))**2*-3*1.\nAnswer: -365232 + 5760*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17448\/16*8\/12. Suppose -y = -2*s - 197. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131409420?\nAnswer: 2, 3, 5, 2190157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 87\/2. Solve -y*o**2 - 5\/2*o - 1 = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5 + 1 = -3*x, -3*z = -4*x - 3. Let m be -7 - (z - (-1 - 0)). Let t(s) = -5*s - 14. Let n be t(-3). What is the second smallest value in -3, n, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3*k = 5*l, -k = 5*l - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 6*x**2 - 20*x - 42. Let p be t(-8). Let y be p\/1*22\/(-44). Calculate the greatest common divisor of y and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*u**4 - 4*u**4 + 58*u**2 - 53*u**2 - 7*u**5 wrt u?\nAnswer: -420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 745487163 to the nearest integer?\nAnswer: 27304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + 147 + -118 - (1 - -10).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-2\/39))*k*k\/(k\/k**(4\/7))*k)\/(k**(3\/7)*k**(2\/5)*k) assuming k is positive.\nAnswer: k**(944\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6480951768?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00316956904 to seven dps.\nAnswer: -0.0031696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-15) + 40\/6. Let l be n\/10 - 2\/(-5). Let r be -1 + l + 4 + -3. Solve -z = r + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 - 1 - 700922*f**3 + 1 + 689817*f**3 as m*f + g + n*f**3 + t*f**2 and give n.\nAnswer: -11105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/24 + 34\/108. Let a = 1\/189 - j. Put a, -2\/17, 4 in decreasing order.\nAnswer: 4, -2\/17, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -16*t**3 - 2*t - 1. Suppose -b + 2*b = -4, -4*f = -3*b - 272. What is the remainder when f is divided by r(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4))\/(1\/(-2)). Let m be l\/(4 + -1) - -29. Let y = m + -18. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 169.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-8 + 54 - 23)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -395098, -790168, -1185238, -1580308, -1975378, -2370448?\n\"Answer: -395070*d - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1054 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 + 17*j**2 - j + 33. Let m = -663 + 655. What is the remainder when 1153 is divided by i(m)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w**2 + w + 1. Calculate the common denominator of r(-1) and ((-24304)\/(-1953))\/((-3)\/(-1) - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l + 38. Let t be m(-21). Let x be (3 + -1)*9\/(-2). Let v = t - x. Solve v = -k + 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.19 * -60.\nAnswer: -191.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6276 and 4308?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 4) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86 - 85. Find the second derivative of -32*q**2 + 4*q - 2 + s + 1 wrt q.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 15*t + 312. Let p(z) = -z**3 + 4*z**2 + 2. Let o be p(2). Let l = o - 3. Calculate the remainder when c(-19) is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22297676, -44595354, -66893032, -89190710, -111488388?\nAnswer: -133786066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 5:30 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2.8 (b) 19 (c) -3102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*y + 480, -5*y - 114 = 3*a - 2*a. Let d = a - -1878. Is d a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = c - 2*c. Let r(p) = 6*p - 16. Suppose -63975*l + 11 = -63976*l - 4*b, -l + 3*b + 3 = 0. Let q(u) = u - 3. Calculate c*q(n) + l*r(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4788 and 40932.\nAnswer: 5443956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**5 + 6841675*m**3 - m**2 - 1380509*m wrt m.\nAnswer: -60*m**2 + 41050050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 263620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -385793 (base 14) in base 4?\nAnswer: -13120222111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 105 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8a8 - 15?\nAnswer: -8bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/20 and -97\/555?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6581 + 0.0331. Let n = -4.375 + r. Which is the nearest to 3\/13? (a) 2 (b) n (c) -4\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 473*a + 59. Let n(z) = 323*z + 40. Determine -5*g(c) + 7*n(c).\nAnswer: -104*c - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u - 8*u**2 + 14*u**2 + 3*u. Let r(c) be the second derivative of -c**4\/6 - 2*c. Give r(n(b)).\nAnswer: -72*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -28*l**3 - 11*l**2 - 65*l - 16. Let z(f) = -6*f**3 - 2*f**2 - 13*f - 3. What is 2*k(w) - 11*z(w)?\nAnswer: 10*w**3 + 13*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -13, -17, -41, -103, -221, -413?\nAnswer: -697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 91872\/(-5568)*(-2)\/(-638)\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 401775621?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ra when two letters picked without replacement from {w: 1, r: 1, a: 4, z: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - k - 2*k - k**3 + 2*k + 1. Let n(x) = -x**2 + 2*x + 1. Let v(y) = l(y) - n(y). Find the second derivative of v(g) wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*i = 28*i - 1260 - 600 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4338874 (base 10) to base 7\nAnswer: -51610531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110962217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.84076, 2\/9, -0.3, -340?\nAnswer: -0.84076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 80, 238, 544, 1046, 1792, 2830, 4208?\nAnswer: 5974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*w**3 - 258*w**3 + 811*w**3 + w**2 - 284*w**3.\nAnswer: 30*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 3316\nAnswer: -2321.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and 0.03.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 - (-54 + -23 + 78).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 127*w**3 - 121*w**3 - w to the form p*w**3 + j*w + y*w**2 + c and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2. Suppose 16 = -4*o - 2*c, -c + 20 = -5*o + c. Let p be f(o). Find the second derivative of 6*g**5 - 3*g**5 + 3*g**5 + p*g - 10*g wrt g.\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y + 8. What are the prime factors of n(11)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (0 + (-192)\/(-4)). Let q = 126 - b. Calculate the greatest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 12*a**2 - 53*a + 546. What is f(17)?\nAnswer: -1800","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 329106.9mm to nanometers.\nAnswer: 329106900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**3 + 3*g**2 - 897*g - 1792. Give x(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 809 - 808.6. Let o = -0.135 - -0.285. What is the smallest value in c, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 18 - 0 - 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 646 + -158. Is a a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 397.2411cm to meters.\nAnswer: 3.972411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.1 - 8951.5. What is i rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 113 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3731 divided by -119799.\nAnswer: 3731\/119799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/2))\/o*o\/o**17*o assuming o is positive.\nAnswer: o**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 377*h**5\/60 + h**4\/6 - 2*h**3\/3 + h**2. Let v be m(3). What are the prime factors of v\/95 + (-2)\/(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -1. Let a be r\/48 + 66\/(-16). Let l(m) be the third derivative of m**6\/120 + m**5\/30 - m**4\/6 - 6*m**2 - 225. Calculate l(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 - c**3 + c**2 + (132 + 2699 - 540)*(-2*c**3 - 1 + 3 - 4) in the form y*c + z + l*c**3 + q*c**2 and give l.\nAnswer: -4583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5))**(-45))**(-2\/69) assuming m is positive.\nAnswer: m**(-12\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-three quarters of a second?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011299 rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28645987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/33)*r**(-34)\/r)\/((r*r**(-26))\/(((r\/(r*r**(-3\/8)*r))\/r)\/r)) assuming r is positive.\nAnswer: r**(-3325\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1416, 2811, 4176, 5505, 6792, 8031?\nAnswer: 9216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 - 43. Solve y + o = 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7797901001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + 108?\nAnswer: 11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 381.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -3*g - 25. Suppose g - 157 = -5*s. Calculate the highest common factor of 8 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-10) - 292\/(-20). Let k be 2\/c - 34\/(-7). Solve -10*h - 20 = -k*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1468 at least -409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10582693\/78 - -135677. Let y = -10475 + 125777\/12. What is the common denominator of i and y?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 9:58 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((966\/273)\/(-23)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*w = 80, -4 = 4*w - 3*w. What is the common denominator of o\/96 + (-338)\/24 and 79\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.092274 - -757028.907726. Let n = j + -757005.99972. Let w = n + -23. What is w rounded to 5 decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 5*x + 70, 6*x + 86 = 5*c + 7*x. Let k(z) = 10*z + 97. What are the prime factors of k(c)?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9939715959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 343515.8g in nanograms?\nAnswer: 343515800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 5*f = 9, 4*c = 3*c + 2*f + 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-225)*(-6)\/(-7)*1920\/(-1536)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -5*r - 9, -3*n - 4*r + 18 = 0. Solve -l + 4 = 2*j + 9, 2*j + 20 = n*l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g**4 + 132*g**3 - 256*g**2 + 156*g - 22 = 0.\nAnswer: 1\/5, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-20)\/(-16) - -1)\/3. Let y = 31.7 + -35.7. Let l = -0.1 - -2.1. Which is the closest to -5? (a) l (b) y (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29.4 + -26. Let h = 9 - 6. Let d = c - h. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ytyc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35697 and 438.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*n**3 - 9*n + 145*n**3 + 133*n**3 + 9*n.\nAnswer: 219*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8186 times -12316?\nAnswer: -100818776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -78*r**2. Let h(p) = -p**2 - 6*p. Let k(l) = -3*l**2 - 16*l. Let i(t) = 8*h(t) - 3*k(t). What is z(i(d))?\nAnswer: -78*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, c: 4, e: 3, x: 4, t: 2}. What is prob of sequence cexl?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 273\/395 + -23\/79. Which is the nearest to 0.1? (a) -1\/4 (b) -8 (c) 2\/13 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -191\/2 - -95. Let o = 0 + 0.1. What is the nearest to -1 in -5, n, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 3. Let l = -19.4 - -16.4. Sort d, 2\/3, l.\nAnswer: l, d, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 3 - (1 + -1). Is 12 a factor of 1 + (43 - 9\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 j, 1 z, and 1 e when four letters picked without replacement from {j: 4, n: 1, z: 1, m: 3, e: 5}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 122.43822\nAnswer: 367.31466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4 + 10247862*v**3 - 17503112595174*v**2 + 9964971246989167666*v = 0 for v.\nAnswer: 0, 1707977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from {i: 2, a: 1, c: 3, y: 5, h: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8408593 - 2177604 = 1175*d - 1078*d. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42628 = 6*j + 33*j - 530986. Which is smaller: j or 12521?\nAnswer: 12521","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16684 and 12315799.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 339*g + 1295. Suppose 0*v - 2*v = -70. What is the remainder when b(-3) is divided by v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 7 + 3. Suppose -t*m - 15 = m. Let p be 16\/6 - m\/9. Solve -p*x - 4*i = -0*i + 27, -5*i = -2*x + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/29? (a) 47 (b) 3 (c) 0.1 (d) -2\/7 (e) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 133142023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2808\/(-1248)*2\/15.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2011011022201 (base 3) to base 15.\nAnswer: 1792ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjljl. What is prob of sequence ll?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 - -1. Let b = 5005 - 20343\/4. Let k = b + y. Is 2 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w + 4*w + 2*w + (-w - 1 + 1)*(3 + 0 - 4) + w - 2 + 2 + 3*w + w - 3*w - 106 - 64*w + 126*w - 63*w.\nAnswer: 3*w - 106","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = i + 5*m - 30, 0 = -2*m + 6. Let x be i - (-1)\/((-1)\/(-1)). Suppose x*s + 1 = -p, 0 = 2*s + 2*p + 2. Let q(g) = g - 5. What is q(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 142416 - 544?\nAnswer: 141542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {y: 6, m: 12}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*f - 127 + 61 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00935 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.11*-4.64759.\nAnswer: -5.1588249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22367048*s - 279005699?\nAnswer: -22367048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-9)*-13*(1 + -4). Calculate the greatest common factor of u and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 13 (b) -17 (c) 2 (d) 4288 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 8, h: 5}. What is prob of sequence hhhg?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 32, 50?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28279, -55101, -81931, -108769, -135615, -162469, -189331?\nAnswer: -216201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14351 - -42616\/3. Let o = z - -6157\/42. Let l = o + -10\/7. Is l <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 45 - 23 - 36*v in the form q*v + u and give q.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*j**5*r**2 + 2*j**5 + 15*j + 3*r**2 - 1 wrt j.\nAnswer: 660*j**3*r**2 + 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + b = 106, -4*b + 14 = i - 14. Put -5, 2, i in descending order.\nAnswer: i, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 6*j**2 + 5*j + 10. Let s be o(-5). Let t be ((-80)\/(-25))\/(4\/s). Suppose 5*d - t = -28. Sort 5, d, -3.\nAnswer: d, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-2\/11)))\/f**(2\/5))\/(f\/f**(-1))**(-43))\/((f**(2\/3))**(2\/23)\/((((f**6*f)\/f)\/f)\/(f**(-1\/7)\/f))) assuming f is positive.\nAnswer: f**(2440439\/26565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2681309*w - w**2 + 10 + 2681316*w + 0*w**2. Let j = -41 + 11. Let f be 5*18*(-3)\/j. Give t(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -211\/22026 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q - 40 = 0. Suppose -121 = -z - q. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 479479916 or 479479918?\nAnswer: 479479916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 87*s + 764. Give u(16).\nAnswer: 2156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/31 at most -2\/535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**6\/18 - 5*c**5\/12 + 5*c**4\/9 + 110*c**3\/9 + 40*c**2 + 578*c. Suppose r(n) = 0. Calculate n.\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2463 in -35, 3, 187, -0.4?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmf when three letters picked without replacement from {f: 3, m: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2497 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59285691 is divided by 19761894.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 627.2087 minutes in seconds?\nAnswer: 37632.522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -28. Suppose -2*x + 140 = 5*o - 4*x, -g*o = 3*x - 112. Calculate the highest common divisor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/2 + 6\/12. What is the nearest to 0.1 in 4\/3, 3, f?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + i + i + i - 3*i - i + 0*i - i + (-4 - 2 + 5)*(0*i + i + 0*i) - 1 + 1 - 2*i + (3 - 3 + 2*i)*(-1080 - 1132 - 3324) as z + u*i and give u.\nAnswer: -11077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z. Let m(j) = 9*j + 0*j**2 - 5*j**2 + 3*j**2 + 11 + 3*j**2. Let y be m(-8). Let g(b) = -3*b - y*b + 5*b. Calculate g(v(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -27, -55, -101, -171, -271?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -702 = -7*b + 292. Suppose h + b = 147. Calculate the remainder when h is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 80*g**2 - g - 72. Let b(p) = 2*p. Give w(b(x)).\nAnswer: 320*x**2 - 2*x - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 471 - -3. Let g = -476 + q. Put g, 0.07, 1, -0.3 in decreasing order.\nAnswer: 1, 0.07, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/(-36)*(-4)\/(-78)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*n = 2*f - 58, -f + 7 = 2*n. Suppose 14*z**2 + 2 - f*z**2 + 1 + 4*z = 0. Calculate z.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145419697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 144*w**2 - 18*w - 2. What is the tens digit of s(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*s + 6*s + 104, 4*s + 111 = 3*h. Let y = -25 - s. Suppose -y*z + 8*z = 54. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 28*f = 0. Let w(r) be the first derivative of r**4\/2 + 2*r**3\/3 + 2*r**2 + 2*r + 41. Let i be w(-2). Is i > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 - f + 8. Let m(j) = j**2 + 1. Let t(l) = 6*m(l) - n(l). Let z be t(-2). Put z, -4, -2 in descending order.\nAnswer: z, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 138, 252, 362, 468, 570?\n\"Answer: -2*g**2 + 120*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 + 8*a**3 + 0*a**3 + 6*a**3.\nAnswer: 17*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-t - t + 3*t)*(5 + 2 - 5) + 1217 - 1217 + 99*t)*(-5 + 5 + 10*t) to the form f + o*t + j*t**2 and give j.\nAnswer: 1010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 0*p + 3*p**2 + 0*p**3 - 1\/24*p**4 + 0 - 1\/60*p**6 + 0*p**5. Find the second derivative of y(q) wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 3:02 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5, -481, -0.007, 2.7.\nAnswer: -481, -0.007, 0.4, 2.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7491348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -757*v**2\/2 + 1336*v - 842. What is the first derivative of t(x) wrt x?\nAnswer: -757","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (3 + (-118)\/(-4))*8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from fppvppvcvvvvppvpp.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3536051*t**3 - 28156*t**2 - 3*t - 6.\nAnswer: 21216306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3) + -4)**2 - (3 + 1*sqrt(3)).\nAnswer: 7*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((2 + sqrt(272) - sqrt(272) - sqrt(272))*5)**2 - (sqrt(272) + (sqrt(272) - (sqrt(272) - (-2 + sqrt(272)))) + -3)) + -3.\nAnswer: -408*sqrt(17) + 6903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-1 + 2) + 8. Let u be (-1)\/6*-3 - 1. Sort u, 0.1, l.\nAnswer: u, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3072*f**2 - 5*f**3 + 3072*f**2 + 0*f**3 + 0*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, x: 5, n: 3}. What is prob of picking 1 x and 1 y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 690.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000050065 rounded to six decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 19 + -10 + 6.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -48*m**2 - 3\/2*m**3 - 1176 - 462*m = 0.\nAnswer: -14, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2901929*-102.\nAnswer: -295996758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 - (-1 + 8 - 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v - 2 + 2 + (4*v - 2*v + 2*v)*(2 + 2 - 6) + (-4 - 7 + 2)*(-v + 3 - 3) - v + 6*v - 2*v to the form d + f*v and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s = 50*s + 11*s - 592 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8326 - (5 - (-2 - 11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106187 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 12:28 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.1322258?\nAnswer: 0.3966774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p - 1 - 1 - 1. Let u be q(-2). What is the units digit of 1\/2 + u\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*l - 3*l**3 + 3*l**4 - 4*l**4 + 3*l + 3*l**2 - 6*l**2 + 2*l.\nAnswer: -l*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7))**38*(o**(-2\/21)*o)\/(o*o**9\/o*o) assuming o is positive.\nAnswer: o**(-5777\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -275*o**2 - 285*o**2 + 1121*o**2 - 282*o**2 - 280*o**2. Let d(z) = z - 1. Let x be d(3). Let t(b) = -5*b**2 + b**2 - 6*b**x. What is t(c(s))?\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 2499?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126480 by 930.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 708 - 264. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -57*n**2\/2 - 42*n - 289. Find the first derivative of q(h) wrt h.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**2 - 11260*l - 11265 = 0.\nAnswer: -1, 2253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 7) in base 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*p = 21, 2*y + 2*y - 5*p + 10 = 0. Suppose 3*v - k = -6, 6*v - 3 = 4*v + 3*k. Which is smaller: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/68 (b) 0.2 (c) 5 (d) -2\/11 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 - (-4)\/(-2) - 912828\/(-28)?\nAnswer: 32603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 1\/105*c**7 + 0*c**3 + 0*c**4 - c**2 + 0*c**6 + 0 + 7\/60*c**5 + 0*c. Find the third derivative of k(f) wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + q - 1. Let t(i) be the third derivative of -i**5\/15 + i**4\/4 - i**3\/6 + 2*i**2. Let s(d) = -3*n(d) + t(d). Calculate s(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*i**3 + 0 + 0*i**2 + 0*i.\nAnswer: 3*i**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3608.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 + -33. Let d be (-24)\/g*(-30)\/4. Solve 2*u = -2*u - d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*sqrt(42)\/sqrt(6).\nAnswer: -6*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -2101112?\nAnswer: 2101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28143 and 1567899.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 15*o**2 - 14*o - 31. Calculate r(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1662706234 to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*w - 70*w - 340*w**2 + 1115*w**2 + 3662*w**2 + 35*w.\nAnswer: 4437*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*c**3 + 28*c**3 - 17*c**3 + 135*c**3.\nAnswer: 473*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 + -113. Let k(y) = 14*y**2 - 4. Let g(m) = m. Let i(r) = 2*g(r) + k(r). Calculate the remainder when i(j) is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 5:33 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29416*p + 29416*p - 101*p**2 + 105*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 772223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*q - 2*c, 4*q + c = 2063 - 2081 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 294721\/2370955 - -2\/8947. Is w equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81983383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -10. Let r = 21 - s. Let p be 2\/(-6) + (-4)\/r. Is p bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750606.\nAnswer: 2, 3, 125101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*r + 419 - 87 + 1736 = 0 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 8. Let q(n) = -n**3 - 9*n**2 - 21*n - 9. Let o(f) = f**3 - 10*f**2 + 16*f - 5. Let h be o(8). Let g be q(h). Sort -17, g, v in decreasing order.\nAnswer: g, v, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264770.\nAnswer: 2, 5, 11, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (48\/36)\/(8\/18). Let c be 0 - (t + -1 + -24). What is the common denominator of -119\/30 and c\/6*2\/(-10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 99.56.\nAnswer: 99.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -64*f - 6481. Give q(-101).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51954 is divided by 65.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/7 + 3879*s\/7 - 467532\/7.\nAnswer: (s - 117)*(s + 3996)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32600\/(-680) - (-13 - -22)\/153?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**3\/2 + s**2\/2 + s. Let o be k(1). Let g = 4 + -1. Solve 0*r - g*r - 12 = -3*j, o*j - 3*r - 16 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1591 + 1601. Solve -2 = -2*h + n*t - 11*t, t = 5*h - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6*y - 45 = -2*y, -3*y - 48 = -3*s. Suppose h + 1 = 0, 3*g - 1 = h + 6. Suppose -g*p + 177 = s. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*n**5 - 613*n**2?\nAnswer: 4260*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 9:16 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1169317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-25)\/(-20)*(-2 + -2). Let v be 6*(u - -3)\/(-4). Put v, 2, -2 in descending order.\nAnswer: v, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-99)\/90*-2 + -2. Which is the biggest value? (a) h (b) 9.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (65\/10 - 1\/(-2)) + -4. Suppose -534 = -2*j - t*p + 10, -5*j + 4*p + 1406 = 0. Is 40 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 102379 + -29550. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26426 and 20902966?\nAnswer: 20902966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -19, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4*r + 346512 = 346488, -3*r - 18 = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.13 and 5.51?\nAnswer: 6.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h. Let t = 25 + -17. What is the tens digit of f(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 3 + 3 - sqrt(304))**2 + sqrt(475)*2*-6.\nAnswer: -60*sqrt(19) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/9, 2, 993, -32, 4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 578 - -8*2\/(-4). Let t be w\/(-10) + 24\/(-40). Let g = t + 100. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 1548?\nAnswer: 17028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f = 8*f - 217975 + 2695. Is f a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 20774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3\/31, 0.3, 5, 2\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 2*a + 5. Let k be h(3). What is the lowest common multiple of (-8)\/32 + 34\/k and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-9))\/(9\/((-162)\/4)). Which is the closest to g? (a) -4 (b) 1\/5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31420519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*k - 5, -5*x + 2*x + k = -4. Suppose -x*r + 1 = 5*g + 4, 3*r = -2*g + 6. What is the units digit of (2\/4)\/(g\/(-72))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(1\/4)*n*n\/(n*n**(1\/49)\/n))\/(((n\/(n\/(n\/n**32)))\/n)\/(n*n\/n**(-1\/11)*n)))**(-3\/8) assuming n is positive.\nAnswer: n**(-244623\/17248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((48\/30)\/(-4))\/(3\/(-105)). Suppose -d = r*d - 45. Solve d*o + 0*o = 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 8. Let k be z(10). Find the third derivative of -m**5 + 4*m**2 + 2*m**2 - 2*m**5 - m**k wrt m.\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 319449 and 0.2.\nAnswer: 63889.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -842*o - 6 + 4 + 2519*o + 2 to the form p + l*o and give l.\nAnswer: 1677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2448)*-3*4 + 5)**2*6*-6.\nAnswer: -50762628 - 103680*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*w - 64*w + 6*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-5))\/((-4)\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from vvqggzvvgzvvvqzv?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15414546, 15414538, 15414526, 15414510, 15414490, 15414466?\nAnswer: 15414438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.671169 months in decades?\nAnswer: 0.005593075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*t = 50, 248*t = 5*a + 257*t - 82. Solve -11*r + 70 = -a for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -199427, 0, -10.8?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 13*a**2 - 12*a - 4. Let l be g(12). What is the common denominator of 113\/6 and (-1360)\/(-700) - l\/(-5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -13\/8, -4 in decreasing order.\nAnswer: 2\/11, -13\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9933060*n**2 + 18641390*n?\nAnswer: 19866120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s - 18 = 0. Let r = -16 - s. Let z(w) = -w**2 - 8*w + 5. Let f be z(-7). Solve -f = x - r*x - 4*k, -k - 2 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/16 and 155\/4644.\nAnswer: 18576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**2\/7 - 706*r\/7 + 4308\/7 = 0?\nAnswer: -359, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/11? (a) -0.04 (b) -2\/13 (c) -6\/11 (d) 4 (e) 26\/21 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 4*m + 30 + 18, -56 = 4*x - 2*m. Suppose 2*o + 3*o + 65 = -4*f, -4*o - 4*f - 48 = 0. Which is bigger: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1129, -1\/7 in ascending order.\nAnswer: -1129, -0.4, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 863.2727264 rounded to the nearest ten?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1377) + sqrt(204)\/(-4*sqrt(12)))**2.\nAnswer: 35*sqrt(17) + 20889\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*q**3 + 1)*((-5*q**2 + 2*q**2 + 2*q**2)*(-3 + 1 + 1) + 4*q**2 - 5*q**2 + 2*q**2) + q**5 + 3*q**5 + 3*q**5.\nAnswer: 11*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.1 (b) 26 (c) -3 (d) -11 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(320)*3 - 1*sqrt(320)*2)**2 - (-5 + (((sqrt(320)*2 + sqrt(320))*-6 - sqrt(320)) + (sqrt(320) - sqrt(320)*-1) + 2)**2).\nAnswer: 544*sqrt(5) + 35521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -339963, -339821, -339563, -339171, -338627, -337913, -337011?\nAnswer: -335903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 286 + -277. Let f be (-12)\/b*-2*3\/4. Solve -f*n = 5*z + 9, -5*z + 5*n = -6 + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-14) - 30254\/(-49). Let f = -148 + y. Suppose 0 = 3*u + 4*u - f. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2313 by -3.\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffftftttfzbtfzf. What is prob of sequence zb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 8*g**2 - 5*g - 16. Calculate x(-6).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.045 + 471.\nAnswer: 470.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.23 + -0.03. Let b = 0.4 + -0.3. Let f = b + -0.1. What is the closest to f in 1, z, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -92*w**4 - 7505*w**3 + 9981174?\nAnswer: -368*w**3 - 22515*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 4*z**2 - z + 12. Let u be y(-5). What is the units digit of (-4 + u\/(-12))*-30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2033, -1914, -1795, -1676, -1557?\nAnswer: -1438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14065 less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 304*o**2 - 153*o**2 - 5 - 178*o**2.\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5833004.\nAnswer: 2, 271, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26331, -52836, -79341?\n\"Answer: -26505*z + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 5. Let n = -535 - -531. What is u(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21215101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 420317?\nAnswer: -420316.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18313763 is divided by 84.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2117, 2343, 2719, 3245, 3921?\nAnswer: 4747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183 = 60*b - 237 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9277 + -9275. Determine x so that 3\/7*x**3 + 0 - 6\/7*x + 3\/7*x**r = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26032.\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzffgffggfpffg. What is prob of sequence gf?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -2*h**4 - 9*h**2\/2 - 10. Find the second derivative of g(y) wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1. Let c(v) = -v**2 - 2*v + 1. Let o(x) = -c(x) + 4*g(x). Let t be o(-2). Suppose -l - t = -2. Which is smaller: 2\/7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -24 in increasing order.\nAnswer: -24, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17441, 70019, 157631, 280277, 437957, 630671, 858419?\nAnswer: 1121201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 10 = 8*x. What is the second derivative of -x*m + 4*m + 3*m**3 - 2*m**3 wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-8))\/(8\/16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5986744.\nAnswer: 2, 748343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1510 and 3187912.\nAnswer: 15939560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + (10 - 13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 7:50 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 8, -1, 5 in descending order.\nAnswer: 8, 5, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1078266 and 175?\nAnswer: 18.869655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -28. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.963 + -0.037. What is the nearest to t in -2\/17, -5, 5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53697*z + 3048 = 53951*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.97 and 3.\nAnswer: 5.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzdddddddj. What is prob of picking 1 z, 1 d, and 2 j?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nuaffrf. Give prob of sequence far.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {b: 3, t: 2, o: 3, n: 3, h: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**2\/2 - 18019490*k + 32470201986010 = 0.\nAnswer: 3603898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27908 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4*2274\nAnswer: -9096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 39*g - 303. Calculate w(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in 5, 0, -0.1, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2 - 2)*(2*m + m + 0*m)*(-3 + 3 + 3*m).\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 22532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 12*o**2 + 0*o + 0 - 11\/60*o**5 + 0*o**3 + 0*o**6 + 0*o**4 + 2\/105*o**7. Find the third derivative of l(k) wrt k.\nAnswer: 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -71, 0.5, -5\/44?\nAnswer: -5\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1562?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -48*r + 4 + 4 + 0 - 5 + 3*r**2. Let u(t) = -t**2 + 16*t - 1. Let a(z) = 8*u(z) + 3*w(z). Let b be a(16). Let x(y) = -23*y + 1. What is x(b)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 16 = 2*q, -3*m = 2*q - 2 - 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p - 29*p + 828 = 33*p for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-4)*(-34)\/408?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1039759 and 301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -101, -145, -185, -209, -205, -161?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 0.057 (b) -0.06 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 334\/3 - 2\/3*u**2 - 332\/3*u = 0?\nAnswer: -167, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + 5 - (3 - 11). Let i be (12 - 1064\/98)\/(2\/v). Solve 3*x = -i*b - 32, 0 = 3*b - 2*x + 4 + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 - 3*n**3 + 1373*n - 1373*n + n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30398.8 - -30399. Let p = 260 + 86. Which is the third smallest value? (a) p (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 12\/(-8))*-2. Is -2\/23 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -12.7. Which is the nearest to -1? (a) m (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 7*s**2 + 191*s + 621. Calculate r(19).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 5828.\nAnswer: 11656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122.2 + 0.0218.\nAnswer: -122.1782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 354.4884l in millilitres?\nAnswer: 354488.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -3*g**2\/2 - 2*g + 10. Let d(z) = -z**2 + 6*z - 2. Let w be d(6). Let b be r(w). Put b, 2, -3 in increasing order.\nAnswer: -3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 2*b - 9. Calculate the remainder when 129 is divided by n(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 3*d + 304046, 12*d + 152018 = 2*f + 11*d. What is the thousands digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + ((sqrt(684) + 1)*-5)**2)*-5.\nAnswer: -85625 - 1530*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.985, 0.134, -0.1, -5\/3, 2 in increasing order.\nAnswer: -5\/3, -0.1, 0.134, 0.985, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/4*12\/(((-1089)\/(-22))\/(-11)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 8 = -2*l, 0*l + 6 = -g - 4*l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((3*sqrt(4050) - (2 + (sqrt(50) - sqrt(450)) + sqrt(50))) + -3*(sqrt(50) + 2) + sqrt(150)\/sqrt(3) + 0))**2.\nAnswer: -8320*sqrt(2) + 135456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1761 (b) -0.28 (c) 874\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 39924990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2566*q + 53. Let m(g) = 1710*g - 38. Calculate 14*m(l) + 10*u(l).\nAnswer: -1720*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -660*n - 425 - n**2 + 147 - 115 - 125*n + 3*n**2.\nAnswer: (n - 393)*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from {u: 12, v: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/2 + 16800246*q + 47041377610086.\nAnswer: 3*(q + 5600082)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1184828.\nAnswer: 2, 67, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, 243, 636, 1185?\n\"Answer: 78*v**2 + 3*v - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -112, -226, -340?\n\"Answer: -114*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ececessesw. Give prob of picking 3 s and 1 e.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 5 - (18 + (-18 - -12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*g + 72 = 36*g. What is the remainder when 156 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 - 53*u - 377. Calculate p(-30).\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -21. Suppose 512*f - 501*f = -11. What is the tens digit of f\/3*(-45 + n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/22 - (-1820)\/6864. Let m(s) be the second derivative of 0 + 0*s**2 + 3*s - 1\/72*s**4 - j*s**3. Factor m(n).\nAnswer: -n*(n + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/3 - 2778*x**2 + 281556*x = 0 for x.\nAnswer: -4266, 0, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42113 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -13047500.\nAnswer: -6523750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1902*s. Let i(f) = -74*f**2 + 2*f - 65. What is x(i(n))?\nAnswer: -140748*n**2 + 3804*n - 123630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/10 - 1\/(15\/(-876)). Let i = 82 - y. List the prime factors of i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 5*w**2 + 11*w + 32. Let r be s(-6). Let o(i) = 10*i - 15. Let p be o(r). Solve 2*z = 3*q + 15, p*q + 28 = 2*z + 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in 1\/71, 2\/201, 5\/4?\nAnswer: 2\/201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 288 = -t, 25 = -0*x - 5*x. Let v = t + 468. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 4991?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10778 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4445*g**2 - 56*g - 56. Let k(f) = 234*f**2 - 3*f - 3. Let n(c) = -56*k(c) + 3*x(c). Let i(y) = -3*y**2. Give i(n(j)).\nAnswer: -160083*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6*10\/(-3). Is 2 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dldlddld. Give prob of picking 2 d.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from ffffffdfffdff?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 1 - (-5 + -20). Suppose 0 = -2*o + 2*f - 14 + n, -f = 5. Solve -3*i = -p - 2*p, o*p = 3*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14931 rounded to the nearest one hundred?\nAnswer: 14900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2661 is divided by 825.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2272)\/(-18) - (0 - -1). Let i = s - 125. Let n be 590\/(-50) + 12 - 0. Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1745511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-30))\/((-3)\/(-90)). Suppose -2*k + z = k. What is the least common multiple of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 572*y**2 - 3*y + 3*y.\nAnswer: 572*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100 + 1330. Does 55 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**2 - 18*d + 3. Determine z(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, b: 2, g: 2, k: 1, v: 2, d: 1}. What is prob of picking 2 g?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25 + -3f1?\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 312 + -309. Which is the nearest to -23? (a) -1 (b) -1\/7 (c) v (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -34*v - 2*v**2 + 39 + 7*v - 17. Let l be j(-14). Solve -h = -3*h - l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2633902382?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4483634231.\nAnswer: 19, 47, 73, 109, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1453056.\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*b**2 - 28*b**3 + 102*b**2 - 32*b**2 - 31*b**2.\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 38\/513*(-1)\/((-1)\/(-3)). What is the biggest value in -1\/4, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + -1 - (-3 + (0 + sqrt(5))**2 + sqrt(5)))*1 + -4 + (1*sqrt(240) + sqrt(240))\/sqrt(12).\nAnswer: -7 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**5\/20 + o**4\/4 + o**3\/3 + o**2\/2 + 3*o. Let q be b(-2). Sort q, -4\/3, 5.\nAnswer: -4\/3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/3 (b) -81\/2 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 3.5. Let a = x - -1. Let z = -0.5 + a. What is the closest to z in -5, -1\/3, 2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5*sqrt(44) - (sqrt(704) + 0)) - (-4 + sqrt(99) + 1 + -2 + sqrt(99)))**2.\nAnswer: -240*sqrt(11) + 6361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -14728207 and -14728205 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3399200 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1788 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 5:37 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6181 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 23, -114, -379, -814, -1461, -2362, -3559?\nAnswer: -5094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 68872240.\nAnswer: 619850160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 3:57 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13, -7, 11, 47, 107, 197, 323, 491?\n\"Answer: w**3 - w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 449485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.17 (b) 0.3 (c) 0.4 (d) 137 (e) 0 (f) -8 (g) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**3 - g**2 - g - 1. Let q be x(-1). Suppose 0 = -2*h - 0*h + 6. Let w = q - h. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4\/7 + 685*d**3\/7 - 4022*d**2\/7 - 35428*d\/7 + 11640 = 0. Calculate d.\nAnswer: -6, 2, 10, 679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -14*q**2 + 176*q + 90. Let i(n) = -13*n**2 + 174*n + 89. Let v(z) = -6*i(z) + 5*j(z). Factor v(b).\nAnswer: 4*(b - 21)*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6296.7 and -64.\nAnswer: -402988.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23318309321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 10265 = -4*p, -14*p + 5*i + 33395 = -p. Does 48 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5651 a factor of 146304390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5480 + 5479.79292. What is v rounded to 3 decimal places?\nAnswer: -0.207","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 924, 1752, 2580?\nAnswer: 3408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 391764.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 298?\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55790 is divided by 25587.\nAnswer: 4616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m - 5. Let x(u) = 4*u + 3. Let o(c) = 3*d(c) + 5*x(c). Let n(v) = 8*v. Determine o(n(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24\/11 in -1.8, -0.4, 2\/43?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -15*x**2. Let v(l) be the first derivative of 479*l**2 + 2629. What is p(v(i))?\nAnswer: -13766460*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o - 3*o + 4*o - 1212 - 50608.\nAnswer: -3*o - 51820","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 31 (b) 13 (c) -3606\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - (-18 + (-4 - -10))) + 7 + (-1 - -1)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 41 - 2\/(-4)*-6. Suppose 43*a - 135 = w*a. Suppose 4*t - 3*m - 6 = a, 9 = 2*t - 3*m. Solve 2 - t = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 15 (b) 2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, b: 3, d: 1, k: 2, z: 2, t: 3}. What is prob of picking 2 z?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4197 - -4200. Let x(f) be the second derivative of 1\/2*f**2 + 1\/12*f**4 + 4*f + 0 - 1\/3*f**s. Factor x(n).\nAnswer: (n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 27. Let h be -2 - (-4 + 6 + -7). Which is the nearest to v? (a) h (b) 2\/13 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*n + 46. Suppose -2*u - n = -23. Suppose u*l + 243 = 6*l. Does 25 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26263851 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28493, -114629, -258189, -459173?\n\"Answer: -28712*k**2 + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -5. Let j(o) = o**3 + 5*o**2 + 5*o + 6. Let w be j(s). Let g(l) = 19*l - 1. Is g(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268686 = -7*p - 4*i, 9*i = -4*p + 4*i + 153524. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6875632313 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -10*c - 51. Let f be o(-13). Suppose -a = 2*p - 209 - f, 137 = p - 3*a. What are the prime factors of p?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20448\/2911 - (9 + 3 + -5). What is the second smallest value in 2, w, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*q + 5*y, -2*y - 3*y = -4*q + 22. Suppose 2*j - t = -3, -t + 6 = q*j + t. Solve -2*g + 3*s + 2 = -j, -4*g - 5*s + 26 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h**2 - 13*h**2 - 100133*h**3.\nAnswer: -100133*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 162. Is 43 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3122*v**2 + 1753*v**2 + 1755*v**2 + (-2 + 1 + v + 2*v)*(v + 1 - 1).\nAnswer: 389*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16337 + -16671. Which is greater: s or -331?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001998163079 to six dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-95) + (-56)\/532*(-1 + 38). Put h, -9, 4, -5, 14 in increasing order.\nAnswer: -9, -5, h, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + -17. Let d be ((-2)\/f)\/(50\/(-75)). Which is the second biggest value? (a) 3 (b) d (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*b = -37*b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-5) - 11\/5. What is the tens digit of u - (-2 - -2) - -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -10\/1337, -55, 4, -6.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-3))\/(44\/12). Let j be 3\/2*(-2)\/3. Sort j, g, -1\/8 in decreasing order.\nAnswer: -1\/8, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 + 122. Let o = -4471 + 4540.69. Let d = s - o. Round d to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 203592 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*l**3 - 110*l + 112*l + 36*l**3 + l**2.\nAnswer: 59*l**3 + l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 3883?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52112953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2153370 (base 12) to base 11.\nAnswer: 3633a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s - 676475 + 676235 = -5*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3320 - -3589. What is the remainder when g is divided by 148?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2667540234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89550303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from {z: 10, k: 2, y: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 2*s**2 + 1\/560*s**7 - 5\/24*s**4 + 14 - 1\/4*s**3 + 0*s - 1\/96*s**6 - 41\/480*s**5. Factor y(l).\nAnswer: (l - 6)*(l + 1)**2*(3*l + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - a32c16b?\nAnswer: -a32c175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 3:12 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 = 5*t, -5*t + 0 = -2*y - 5. Let o = -149 - -147. Let n = 0.01 - 3.01. Which is the fourth biggest value? (a) o (b) t (c) n (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80634471 and 12076?\nAnswer: 3019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -5743, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2 = r, 0 = 2*w - 3*r - 5 + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and -0.4.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + -12110020?\nAnswer: -12102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 5. Let u be b(-11). Suppose 9*k - 12*k = -u. Solve v = -k*v - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -143? (a) -0.23 (b) -5 (c) 0.5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 42*q**2 - 29*q - 126. What are the prime factors of x(-5)?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 308228 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000577 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 36284668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) -3 (c) -3\/5 (d) 1\/46 (e) 15\/7 (f) -43\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -16*p**2. Let y(g) = 2*g + 14 - 30 + 16. Calculate a(y(u)).\nAnswer: -64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**5 - 6*h**4. Let u(v) = 592*v**5 - 24*v**4 + 2*v**2 + 974. Let t(p) = 4*b(p) - u(p). What is the third derivative of t(o) wrt o?\nAnswer: -36000*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 419432491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -555115 (base 6) to base 10.\nAnswer: -46487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = -3*b + 741435. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.5653483 - 3.364336. Let b = j + -0.201. What is b rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2130\/4725 + (-6)\/14. Let t(f) be the second derivative of -u*f**4 + 1\/15*f**3 + 2\/15*f**2 + 3*f + 0. Factor t(d).\nAnswer: -2*(d - 2)*(2*d + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2792 times -25?\nAnswer: -69800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140.93 - -36057.635.\nAnswer: 36198.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -260*3\/(-3)*1. Suppose -q = -5*r + 3*r. Suppose -n = 4*n - r. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401903003 to the power of 1\/2, to the nearest integer?\nAnswer: 20048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000056477 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422694*x - 28*x**2 + 422702*x - 845396*x.\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -706 = -4*p + 19*l, 3*l - 3426 + 3544 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.659765 rounded to one dp?\nAnswer: -39.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/10*(-16)\/(-6). Let x = -4 + s. What is the third derivative of 0*w + x*w - w**2 - w**5 wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/132)\/((-30)\/(-1815)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -23*o**8\/168 - o**6\/60 + 7*o**5\/30 - o**4\/24 + 73*o**2. Find the third derivative of v(s) wrt s.\nAnswer: -2760*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72\/25 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 553853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2054 * -0.0593.\nAnswer: 121.8022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 311481754 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 385609771?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -r + 21. Let h(t) = 2*t**2 + t. What is the remainder when r is divided by h(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.07 + -0.07. Let m = -9.999994 + s. Round m to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 145\/4 - 1\/4. Let p(a) = 2*a**2 - a + 24. Let v be p(0). Calculate the greatest common factor of v and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 smaller than -87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 3*r + 0*r**2 - r**2)*(955*r**2 + 803*r**2 - 285*r**2) to the form y*r + n + z*r**3 + s*r**2 + k*r**4 and give k.\nAnswer: -1473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/5 + 7596*n\/5 - 519152\/5.\nAnswer: -4*(n - 1828)*(n - 71)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4404 (base 12) to base 15\nAnswer: -2347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q + 10 = 9*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3021833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 20 + 16*j)*(0*j - 3*j + 2*j) + (-3 + 4 + 1)*(1 - 1 + 2*j**2).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7404 by 3.\nAnswer: 2468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - s**2 - 9*s - 7. Let o(g) = -g**3 + 8*g + 6. Suppose 3*a + 9 = -m - 0*m, -5*m = -4*a + 7. Let l(t) = m*f(t) - 4*o(t). What is l(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52641?\nAnswer: 3, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41895 and 2024640?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 24*a + 9. Let w(m) be the second derivative of 11*m**3\/6 + 2*m**2 + 9*m + 15. Let l(y) = 4*q(y) - 9*w(y). Let o(z) = -28*z**2. Give o(l(n)).\nAnswer: -252*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 54 + 2*y + 8*y - 7*y. What is the tens digit of j(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 - -5) + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 2*t - 15 = 0, -1095 = 5*u - 2*t - 567 - 543 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -1. Let c = 47 + -47.9. Let f = c - -0.5. Sort s, -5, f in decreasing order.\nAnswer: f, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a96 + fa5?\nAnswer: 2a3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 9:18 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010 (base 3) to base 8.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1071*q - 1394417. Determine s(1302).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*5*sqrt(204))\/(sqrt(12) - sqrt(72)\/sqrt(726)))**2.\nAnswer: 51425\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.05 - -0.05. Let r = q - -1.6. What is the closest to -0.2 in 0.5, 0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(500)*2*1*-5 + 0)**2.\nAnswer: 800000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1137.\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 3*o**5\/20 - o**2 - 5*o + 2. Let l(y) be the first derivative of r(y). Find the first derivative of l(k) wrt k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b + 15. Let u be p(-7). Is (1 - -110) + (u - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p + 5*t + 2479, 0 = -4*p - 5*t + 4913. Let n be (-580)\/p - (-2)\/8. Let l = -4\/11 - n. Which is the smallest value? (a) -4 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 6*j**2 + 2*j + 6. Let h be 5\/(-2) + 1 - (-76)\/8. Suppose -h - 7 = 5*u. Let m be a(u). Calculate the highest common factor of 27 and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1127 + -4435\/4. Calculate the common denominator of 17\/6 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 2*z**2 + 4*z - 10. Let l(b) = -b**3 - 3*b**2 + 9. Let t(u) = -2*h(u) - 3*l(u). Suppose -4*v = 3 + 21. Give t(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -355 + 359. Differentiate -14*c**o - 68 - 54*c**4 + 12*c**4 wrt c.\nAnswer: -224*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 24 = -6*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*l = 0, 3*q + 2*q = -3*q - 2*q + 3*q + 4*q + 2*l - 78 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 31*p**2 + 430*p - 44. Let b be n(-14). Solve -12 = k - 3*m, -5*m + 10 = -k - b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1116 divided by -5455\nAnswer: -1116\/5455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -233, -222, -205, -182, -153?\n\"Answer: 3*z**2 + 2*z - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 44, 79, 116, 155, 196?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l = -4. Let g = 6 - 49. Let w = g + 125\/3. Which is the closest to l? (a) w (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i + 4. Let a(z) = 12*z + 6. Let c be a(-1). Let q(t) = t. Let x(g) = g - 1. Let o(k) = -2*q(k) + x(k). Determine c*o(j) - w(j).\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 - 505 = -b. Suppose 5*t - 350 - b = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 5*s - 4. Let g be 6*-3*(-2)\/(-12). Let i be r(g). Which is the smallest value? (a) -1\/2 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 558 and 90.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*y + 114 = -3*d, 0 = -2*y - 3*d - 13 - 43 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1066416 divided by -3.\nAnswer: 355472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from mqkkqkqnmnqnmatmk.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212 = 407*o - 4265 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 249 (c) -1 (d) -4 (e) 2 (f) 4\/3 (g) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 (base 11) in base 10?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26151133 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 8707 = -5*g - 2468, -3 = g. Calculate the highest common divisor of 106 and r.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from kkywojssj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 380131 to the power of 1\/2, to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -12433*d - 12430. Let z be l(-1). Let r be 3 + (1 - (1 - 0)). Solve r*y = z*i + 6, i + 20 = -y - 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 188155, 188167, 188193, 188239, 188311, 188415?\n\"Answer: n**3 + n**2 + 2*n + 188151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 + 168*o - 279. Calculate the smallest common multiple of g(54) and 570.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62857, -147, 0.\nAnswer: -62857, -147, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 - -0.1. Let d = 6 - 6. Sort d, 0.5, n.\nAnswer: n, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(147) + 1 + sqrt(147) + -2)*1)**2 + -1 + -3.\nAnswer: -448*sqrt(3) + 9420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/1118 and -163\/9348.\nAnswer: 5225532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**3 - 63*n**2 - 66*n + 262. Is a(43) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58831921?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6335016878?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06201229 + 0.06198. Round b to 6 decimal places.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-4 + (-68)\/(-16))*2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 10. Suppose -n = 10 + o. Let t be -13 + 2 + (-3 - 0). Is n less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 217 + -215. Let w = -91.0189 + 89.03. Let b = w + k. What is b rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365*x + 733589 = 4669123 + 2385536. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 69527, 139328, 209101, 278840, 348539, 418192, 487793?\n\"Answer: -n**3 - 8*n**2 + 69832*n - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 129*w - 2211. Calculate t(17).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.59 in -0.4, -0.3, -0.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 6*q - 20 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8)*184\/(-207))\/((-776)\/(-291)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from {b: 1, x: 3, o: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1790 divide 6458080140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.096909 or -660?\nAnswer: -660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -44 + (-2 - 10\/(-2)). Let n = p + 206\/5. Determine b so that -n + 1\/5*b**4 + 2\/5*b - 2\/5*b**3 + 0*b**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + u**2 + u. Let x(y) = y**3 - y**2 - 3*y. Let b be 5 - ((-38)\/(-10) + (-4)\/(-20)). Determine b*x(p) + 3*m(p).\nAnswer: -2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**2 - 4*z + 3. Calculate v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-56)\/(-3) - 16\/(-12). Suppose -36 - p = -s. What is the smallest common multiple of 10 and s?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 640729692 to the nearest 1000000.\nAnswer: 641000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 5 = 0, -33 = 662*s - 657*s + 3*g for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 31 + -2 + 4. Let n = f + -17. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -336200 rounded to the nearest ten thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -62444 and -28659.2945.\nAnswer: -91103.2945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 5*w = -5, -85*w - 59 = -h - 69*w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 60 and 62 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 446482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 493484, 493486, 493488, 493490?\nAnswer: 493492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*k - 3, -m + 7 = 3*k + 2. Let g = -0.95 - -2.95. Let n = 0 - g. Which is the smallest value? (a) n (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11033 + -11?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1613371 + -6372815401\/3950. What is the common denominator of 131\/2370 and z?\nAnswer: 11850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0512 + 4.3912. Let t = 54.44 - f. What is t rounded to 0 dps?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157085 less than 2786402?\nAnswer: 2943487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -31 (c) -4\/9 (d) 1 (e) 0.3 (f) -2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/11085379?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681594179?\nAnswer: 7, 31, 131, 23977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -125 (b) -26 (c) 164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2403202 is divided by 171656.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -b - 16. Let x be 3493\/28 - 1*(-1)\/4. Let u = b + x. What is u rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/((-9)\/((-612)\/(-676)) - 7) and 145\/576?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71c5 (base 14) to base 16.\nAnswer: 4c79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6113329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 38 = 4*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5214362 is divided by 29627.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 15*d - 22. Let o be q(-13). Let x be 2 - 0 - (1 + -1). What is the first derivative of 4*j**x + 6 + 4 + o wrt j?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 778*f + 150*f + 139296 = -784*f + 261*f for f.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - ((5 - -5) + -26) - 9) + 3 + -56.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(((-2)\/5)\/(-2)). Suppose -v*c = 5*u + 20, -3*c + 0*u - 2 = u. Suppose c = -2*z + 2*l - 13, 0 = l - 3. Let f(o) = -o - 2. Calculate f(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 5*x**4\/24 - 2*x**2. Let w be (-4599)\/(-35) + ((-12)\/5 - -2). Let a(q) = -2*q**2 + w - 65 - 66. What is l(a(p))?\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -7 in ascending order.\nAnswer: -7, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 135 (b) -2\/7 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 382*j + 1657*j + 300*j - 205832 for j.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/r**(-5))))**(-3\/25))**1 assuming r is positive.\nAnswer: r**(-18\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 176 + -176.79. Let b = 0.791745 + r. Round b to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3*s**4 + 1461*m**3*s - 8*s**4 wrt s.\nAnswer: 24*m**3*s**2 - 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (237 + 734 + 73 + (-3 + 6 - 4)*(-2 - 1 + 1))*(s**2 + 3 - 3).\nAnswer: 1046*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2748839, -10995361, -24739569, -43981463?\n\"Answer: -2748843*m**2 + 7*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + p + 2 = -0*p, 0 = -5*p + 15. Let u be 2\/(-11) - ((-2155)\/55 - t). What is the highest common factor of u and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 36674.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/2*(-40)\/60. Solve -c*t - j + 2*j = -3, 0 = -j + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -1. Let t be 3 - 4*(-3)\/(-12). Is t > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*g - 162. Let f = g - -53. Does 28 divide ((-74)\/(-4))\/((-14)\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4123 + -0.3.\nAnswer: 4122.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**2 + 2*o + 1. Let m be 1 + 1 + 0 + -4. Let y be z(m). Let i be (y\/(-2))\/((-3)\/204000). What is i rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/15)*u**(-2\/39) assuming u is positive.\nAnswer: u**(16\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - a + 72864 = 0, 4*s + 84*a - 89*a - 72840 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from {b: 1, p: 3, l: 1, r: 8, n: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 332125\/48 - 6919. What is the common denominator of -157\/240 and p?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 5*w + 17 = 0, -w = -6*w - 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 28*g**5 - 18888*g**4 + 1083260*g**3 - 21904400*g**2 + 158280000*g - 137440000 = 0.\nAnswer: 1, 20, 4295\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 2*n**2 + 7 - 1 - 19 as f*n + t*n**2 + w and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**6\/360 + 5*l**4\/12 - 7*l. Let q(t) be the third derivative of m(t). Let c(h) = -9*h**2. Calculate q(c(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-24 + 0) - 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1748 at least -1745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 189 by -94.\nAnswer: -189\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1975601 + -0.004.\nAnswer: 1975600.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1105 + 1126. Calculate the remainder when 76 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-2\/9))\/d)\/(d\/(d*d**(-2\/7)\/d)))\/(d*d**(-2\/9)\/d*d)**(-4))\/((d\/(d*d\/d**(-1\/4)*d)*d*d)\/d**(-1\/5)*(d**(1\/5))**(-3\/8)) assuming d is positive.\nAnswer: d**(365\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 462500 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 92*i**3*l*s**3 - 45*i**3 - 3*i*l*s**3 - 5*s**3 wrt l?\nAnswer: 92*i**3*s**3 - 3*i*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 1\/94, -0.3, 0.5, -5\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4334, -4238, -4086, -3884, -3638, -3354, -3038?\nAnswer: -2696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*c = -2, -3*c = 9*b - 4*b - 10. Let v(s) = 5*s - 2 - 4*s**2 + 3*s**2 + 1. Let x be v(b). Solve -5*a = -4*l - 1, 5*a - a - 9 = -x*l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/90 and -153\/366730.\nAnswer: 3300570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 9*c**2 + 5*c - 13. What is the units digit of t(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -12*g + 6*g + 2*g**2 - 7 - g**3 + 6*g**2. Let j be p(7). Solve j*c + 3 = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-1 - 2*h + 1) + 2*h + 0*h + h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 380 + -160. Is 20 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*m - 12*m + 32*m + 16)*(8*m**2 + 8*m - 8*m).\nAnswer: 16*m**3 + 128*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 74653674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 11*q**2\/2 - 15. Let s(h) be the third derivative of -h**5\/60 + h**2. Give r(s(z)).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 277.5138 years?\nAnswer: 27.75138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17885540 is divided by 3479.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/54 - -67\/702. Let s(c) be the second derivative of -1\/13*c**4 - 2\/65*c**5 + 0 - w*c**2 - 1\/195*c**6 - 4\/39*c**3 + 3*c. What is j in s(j) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19481523 to the power of 1\/3, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 - 56.00027. What is v rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*a + 2046 = -37*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(-3*m - 4 + 4) - 47379989 - 1272*m + 47379989 to the form d + b*m and give b.\nAnswer: -1269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 3*d, 2*d + 26 = 62*o - 59*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fizfkkflflk. Give prob of sequence kzfl.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*4\/(-48))\/((-2)\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20234527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 10. Let l be 1\/(-3*(-2)\/48). Let s be c(l). Suppose 3*x - s*j = 9, 0*j = -3*x - 4*j - 9. Calculate the remainder when x is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/15)\/(10*36\/1200)*16\/64?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 11*y - 81. Factor -6994*j + 6984*j + 2*j**2 - y + 9.\nAnswer: 2*(j - 4)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*c + 1)*(6 + 6 - 160*c**2 - 8).\nAnswer: -480*c**3 + 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjtttttjttj. What is prob of sequence jttj?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 1. Suppose 5*c + 134 = 2*x, -v = -c - 1. Let y = -42 + x. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75 - -128. Is h + -48 + (1 - -4103) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 3290, -3, 0.4, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-2) + (-1)\/(14\/(-84)). Let i(w) be the second derivative of 1\/6*w**3 + 5*w + 1\/2*w**2 + m. What is i(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 515 - -236?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15036354 by -835353.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54.2 and -0.249?\nAnswer: 13.4958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 210 + -167. Let h(q) = 7*q**2 + 2. Let b be h(3). Suppose -k = 2*u - v, -3*k = 3*u - k - b. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**2\/3 - 447624*n + 37568858508 = 0. What is n?\nAnswer: 167859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -12. Let y = 6 + m. Solve -y*b + 3*c - 7 = -c, -2*b - 8 = -c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 - ((-2560)\/184 + 4\/(-46)). Let q(d) be the first derivative of -6\/5*d**5 + 0*d + 0*d**2 - 4\/3*d**3 + 1\/6*d**6 - 23 + 9\/4*d**j. Factor q(z).\nAnswer: z**2*(z - 4)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 19 = 3*m - 9, 4*m = -a + 12. Let s(q) = -3*q + m + 0 - 4 + 4. Determine s(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31, -1077, -3141, -6223, -10323?\n\"Answer: -509*o**2 + 481*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 13 + 11)*(5*x - 2*x - 4*x).\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1341329*o**2 - o - 1379917?\nAnswer: -2682658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + l. Let m(o) = 27*o**3 + o - 2. Give m(b) - q(b).\nAnswer: 27*b**3 - b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 4:16 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + q - 60184 = -8*j, -3*j = -q - 90291. List the prime factors of j.\nAnswer: 5, 13, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43663 is divided by 46?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + sqrt(832) + -3*sqrt(832) + (sqrt(832) + 6*(-1 + sqrt(832) - sqrt(832)) - sqrt(832)) + -3))**2.\nAnswer: 11200*sqrt(13) + 88100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 465926628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, s: 11}. What is prob of picking 1 s and 1 q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + (sqrt(539)*1 + sqrt(539))**2*5 + sqrt(539) + -3*(sqrt(539) + sqrt(539) + 0) + -1 + -4).\nAnswer: -43084 + 140*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + -6 - (-29 - (-51 + 15 + 15))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561018?\nAnswer: 2, 3, 93503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 39 and 41.558.\nAnswer: 80.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/4)\/((-648)\/822). Let x be (10\/(-27))\/(4\/13). Let l = b + x. Find the common denominator of -20\/9 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -17*y. Let p be 28\/(-21) + 8\/6. Suppose p = -12*r - 0*r + 12780. Let b(n) = -n**2 - 1065*n + r*n. What is s(b(l))?\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 1057.12\nAnswer: -2114.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 133\/(-9) - 12\/(-54). Let l(u) = 6*u**3 - 5*u**2 + 2*u. Let k be l(1). Calculate the highest common factor of k and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -578, -0.3, 2, -0.4 in descending order.\nAnswer: 2, -0.3, -0.4, -578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 116, 118, 118, 116, 112?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1804 - -1755) + (-1 - -75)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 4*x - 14. Let r be c(0). Let h(m) = -m**3 - 15*m**2 - 17*m - 32. Let y be h(r). Solve -y*u + 8 = -8*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 0 (c) 6 (d) -1 (e) 21883\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.03458 * -1\nAnswer: 0.03458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/180 and -41\/4329?\nAnswer: 86580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17282 rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (13 + -46 + 17)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v\/(v\/(v*v*v**(2\/41))))\/v))\/v**(16\/3))**(-16\/3))**(3\/10) assuming v is positive.\nAnswer: v**(5296\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 7*j + 7. Let c(d) = -d**2 - 10*d + 29. Let y be c(-12). Let h be p(y). Differentiate -17*o**4 + h*o**4 - 18*o**4 - 17 wrt o.\nAnswer: -52*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(-44) - 2\/8. Suppose -q + 0*q + 5 = x. Solve -p + q*p = -4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53121935 divided by 1\nAnswer: -53121935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 43, 26, -21, -110, -253, -462?\nAnswer: -749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170 - 168. Suppose 0 = 3*o + 2 - h. Solve o = -6*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 3*m - 3. Let n be f(-5). Solve -5*v + 17 = -i - 2*i, -3*v + n = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j + 0*j - 2*j. Let w(v) = -2*v. What is -3*g(f) + 7*w(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3441041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m + 56. Determine i(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2, -0.064, -0.4 in descending order.\nAnswer: -0.064, -0.1, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 374675?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**13*b)**(-36)\/(b**(-22)*b\/b**(-3\/16)) assuming b is positive.\nAnswer: b**(6669\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8334.6 + 1.3.\nAnswer: 8335.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/7, 2\/3, -119, 4\/3, 7 in descending order.\nAnswer: 7, 4\/3, 2\/3, -3\/7, -5, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.48507613 + -15.485. What is a rounded to six dps?\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 + 2)*2*-1. Let t(r) = 17*r + 8. Let i be t(6). What is the highest common divisor of l and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (7 - (5 + -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)*l*l**(-4))\/(l**(-4)\/(l*l**(-2))))**(-46) assuming l is positive.\nAnswer: l**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-1))\/(2\/46) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 + 50. Calculate the smallest common multiple of m and 26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.55 + 0.05. Which is the third smallest value? (a) -3 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/((4\/8)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191086, -191062, -191000, -190882, -190690, -190406, -190012?\nAnswer: -189490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 14*w**2 - 6*w - 7. Let k(m) = -13*m**2 + 5*m + 6. Let i(p) = -7*k(p) - 6*o(p). What is the second derivative of i(t) wrt t?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 33 + 2. Suppose -7145 = 174*g + 1207. Let h = r - g. Is 17 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 69 - 49 = 4*s, -2*x - s + 128 = 0. Suppose 132 + x = 5*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m - 3. Let g = -6 + m. Is 7\/4 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.28 - 0.28. Which is the closest to i? (a) -1\/4 (b) -2\/5 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25933, -103728, -233389, -414916, -648309?\nAnswer: -933568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 6*a**2 + 2*a - 8. Let h be t(6). Suppose 5*g = 5*w + 45, -g - w - 23 = -h*g. Calculate the smallest common multiple of g and 37.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0 + 0*n + 2*n**2 - 1\/4*n**4 + 1\/3*n**3. Let d be j(-2). Calculate the highest common factor of 14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c**(-11)*c)))\/c*c\/(c\/(c*c**(-17))))\/(c**(12\/11)\/((c**(5\/11)\/c)\/c)) assuming c is positive.\nAnswer: c**(-315\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -56340.16877 rounded to the nearest integer?\nAnswer: -56340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18015 - 238030 = -36*r + 93047. Is r a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*h = -48 + 6, j + 5*h + 4 = 0. Suppose 31 + j = 2*g. Suppose -2*l + g = -47. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -9 - (-2 + 1) - (-2 + -11).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 60, 24, -32, -114?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 2:50 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/72*9 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 7. Suppose n = -6*p + p. Suppose -2*f - 3*f = p. Which is greater: f or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 349*i**2 + 21*i + 49. What are the prime factors of c(-5)?\nAnswer: 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 70 + 18)*(2 - 6 + 3)*(-2*c**4 - 2*c**4 + 2*c**4) + 3*c**4 + 3*c**4 - 2*c**4.\nAnswer: -100*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2846125474 - 0.2.\nAnswer: 2846125473.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -15, -38, -71, -114?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4403534 is divided by 1467839?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.94 - 6.44. Let o = -26 + 30. Which is the second smallest value? (a) k (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110865556 or 110865555?\nAnswer: 110865555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 431\/13 - (-4)\/(-26). Suppose s + 4*r = 23, 26*s - 29*s - 3*r + f = 0. Solve -12*p = s + 41 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3*y + 10 = -5*y, -3*i - 3 = 2*y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 157067878 and 14278898.\nAnswer: 157067878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 174.3221 micrometers in millimeters?\nAnswer: 0.1743221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - 9. Let a = c - -56. What is the remainder when a is divided by 189\/11 - (-6)\/(-33)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 6507*y - 6510*y + 11, -4*d = 2*y - 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 4, 74, 122 in decreasing order.\nAnswer: 122, 74, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 548.92 times 62\nAnswer: 34033.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50 or -0.1?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d - 12*d + 4 - 4 + 21*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q. Let s(z) = 2*z + 2*z + 0*z - 3*z. Give s(m(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 4*g**2 + 271*g - 126. What is t(-15)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.21\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)*-2)\/(sqrt(144)\/sqrt(6))*3.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41009?\nAnswer: 23, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 98 = 4*c, 68 = -2*c - 2*y + 4. Let k be (-72)\/c - (-2)\/(-3). Suppose 3*a + 87 = 5*s, k*s - 34 = -0*s + 2*a. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-1*2\/((-28)\/6))\/((-81)\/(-819))?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 110\/44*4\/(-5). Is -11\/61 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 times -308.859\nAnswer: 55.59462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67067)\/231*204\/(-884)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -30241432 (base 5) in base 11?\nAnswer: -156933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000695353 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*l - 3*l**3 + 0*l**3 + 23*l + 26*l wrt l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -131 + 79. Let y = m - -41.8. Let g = y - -10. What is the nearest to g in 2\/3, -3\/7, 0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 254136 and 240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68618722?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9838 = 5*p + 2*w + 716, 4*w = -3*p + 5490. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 45 = -4. Let n = o - 38. Solve 0*m - y = -2*m - n, 4*y - 12 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5437723*c**3 + 2269*c**5 + c**4 + 0*c**4 + 2484*c + 5437723*c**3 wrt c?\nAnswer: 45380*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 448 - 430. Let q = 1 + 2. Suppose q*o - 113 + 11 = 0. Calculate the smallest common multiple of g and o.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -214 + -2?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/11 + 608*d\/11 - 1208\/11.\nAnswer: -2*(d - 302)*(d - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.09, 0, -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**7\/1260 - z**6\/180 - z**4\/24 + z**2. Let h(s) be the second derivative of v(s). Find the second derivative of h(o) wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*y = 27, -h - 5*y + 18 + 11 = 0. Solve -4*j + 8 + h = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h*(h**(-3)*h)\/h*h)\/h)\/h)\/h**(-3)*h\/(h*(h*h**(-2\/7))\/h)*h**(-4) assuming h is positive.\nAnswer: h**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**2 + p - 6. Let y(r) = r**2 + r + 2. Determine -s(u) - 2*y(u).\nAnswer: u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*q**2 + 45*q**2 - 37*q**2 - 2*q**4 - 107*q**3 in the form b*q**4 + j*q**3 + g*q**2 + h + z*q and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1162767 at least as big as -1162767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39299200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4757 + 408*z - 4757 + (0 - 2 + 3)*(-6 - 3*z + 6) + (-3*z + 3*z + z)*(1 - 5 + 2))*(5 - 2 - 4).\nAnswer: -403*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 315*b**3 + b**2 wrt b?\nAnswer: 1890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {k: 3, l: 12}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 467651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((-24)\/(-598)) + 48\/(-64). Suppose -3*r + v = -856. What is r rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3 = -7. What is the remainder when -2 + (-60)\/(n*1) is divided by 28\/2 - (-1 + 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010110120 (base 3) to base 15.\nAnswer: -c62c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/8)\/(3\/72). Is -47 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19686 - 3?\nAnswer: 19683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.050661, 1, 0.1, 2, -43?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 44 - 7*j - 7*j + j + 0*j.\nAnswer: -13*j + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/((6\/(-21))\/((576\/168)\/12))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 445631?\nAnswer: 445630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 21 = 41. Sort 12, 2, -2\/7, n in descending order.\nAnswer: 12, 2, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1110001101110110000000111?\nAnswer: 1110001101110110000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 182\/3 + -60. Let r = 0.6408 - 1.6408. What is the nearest to r in 3, -2\/3, -3\/16, y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -10*i - 68 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92\/14 + -6 + (-110)\/(-21)*801\/(-4539).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64600 and 14780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - (-52)\/(-5))*(-4 - 1). Calculate the greatest common factor of 66 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgttrvvrqttztr. Give prob of picking 2 t and 2 v.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -162841 + 2637?\nAnswer: -160205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1155028?\nAnswer: 2, 7, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 4*f - 786. Do -131 and f have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2 + 3*(5 + sqrt(288)*-1 - -5*1*sqrt(288)) + 3)**2.\nAnswer: 6912*sqrt(2) + 42048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888 a factor of 34129376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**3\/3 + 2*m**2 - 17*m + 2. Let v be c(5). Suppose -2*x + 3*f = -611, 0 = x - f - 278 - v. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 20*h + 2. Let p(a) be the third derivative of -5*a**4\/12 - a**3\/6 + 14*a**2 + 39*a. Calculate 6*j(w) + 13*p(w).\nAnswer: -10*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -27, 5 in descending order.\nAnswer: 5, 1, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/7 + 2936*p\/7 - 1077512\/7.\nAnswer: -2*(p - 734)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -105556 and 1?\nAnswer: -105556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - v**2)*(v**2 - v + v) + (28 - 35*v - 28)*(1 - 1 - v)*(2*v - 2*v - 2*v**2).\nAnswer: -71*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/(-15))\/((-4)\/10). What is the third derivative of -10*u**3 + 4*u**2 + u**t + 13*u**3 wrt u?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-5) - (-63)\/45. Let w be 170\/20 + y\/(-4). Let b(n) = -n - 9. Let m be b(-7). Put 1, w, m in increasing order.\nAnswer: m, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/15)\/(4660\/1491200)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -713*d - 574*d - 119*d + 215*d - 169*d to the form l*d + r and give l.\nAnswer: -1360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -692 + 689. Let v be 78\/(-39)*u\/2. Solve 4*g - 2*g - 2*t = 4, 2*g + v*t = 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 5*a**7\/336 + 7*a**6\/144 + 11*a**5\/240 + a**4\/48 + 4*a**3\/3 + 14. Let n(y) be the third derivative of p(y). Factor n(q).\nAnswer: (q + 1)*(5*q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 98*d. Let v(b) = 31*b**2. Calculate v(y(r)).\nAnswer: 297724*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 - 14*s + 15. Let q be x(-8). Let h be ((-38)\/1)\/q + (-4)\/(-2). What is the highest common factor of h and 320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -f + 20, -i + 100 = 3*f + 2*f. Which is greater: f or 18?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/2)\/n*n*n*n**(2\/17))\/(n\/n**(4\/5)*n*n\/n**(1\/4)))**(5\/3) assuming n is positive.\nAnswer: n**(-113\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 1. Let q be i(1). Let l be -1 - q*15\/(-6). Suppose 57 = -b + l*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = -2*v + 800. Let b(i) = 2 + 2 - v*i - 77*i + 165*i. Let y be b(0). Solve -4*p = -2*q, y*q + 0 = p + 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + (sqrt(19) + (sqrt(57)\/sqrt(3) + -5)**2 - sqrt(19)))*-2.\nAnswer: -104 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 157493932?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91 - 94. Sort t, 0.5, 3, 7\/5.\nAnswer: t, 0.5, 7\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*x = 47*x + 24 + 496 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r**2 - 2*r + 57 - 3*r**2 - 6*r**5 + 4*r**3 - 9 wrt r?\nAnswer: -120*r**3 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 9. Suppose d = -2*z + 32 + 44, v = z - 3*d - 45. Suppose a - z = -34. Calculate the highest common factor of 35 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -31. Suppose n*g = 166 + 366. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-8)\/l*l**(2\/5)*l**(-1\/3)\/(((l\/(l*l*l**6*l))\/l)\/l) assuming l is positive.\nAnswer: l**(16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -53\/6, -3\/5, -6\/25?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -263 + 458. Calculate the remainder when c is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548 is divided by 77.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 98. Let x = n + -3. What is the highest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 4*s + 11. Let w be o(6). Let d be w\/(-4 - (-60)\/16). Find the third derivative of 9*u - 2*u**2 - 9*u - d*u**3 - 4*u**2 wrt u.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8950774627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 18 = -f, 0 = -2*f + 4*f - 2*q - 20. Let d(t) be the first derivative of -t**2 + 32*t + 249. Let l be d(f). Solve 0 = 2*x, -s + l*s + 4*x = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 6 = -q - 4*p, -5*q + 5*p - 225 = 0. Let a(h) = 170*h**3 - 40*h. Let l(c) = -13*c**3 + 3*c. Give q*l(r) - 3*a(r).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 12:41 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3801743 is divided by 570?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 244116 - -1?\nAnswer: 244120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/16 in -16716, -2\/17, 10?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 18*w**2 - 41*w - 20. Let c be x(-20). Let p(t) = c*t + 648 - 648 - t. Let d(r) = 13*r**2 + 12*r**2 + 5*r**2. Calculate p(d(s)).\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1854235, 1854242, 1854249, 1854256, 1854263?\n\"Answer: 7*j + 1854228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6897863, 6897842, 6897821?\nAnswer: 6897800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**5 + 9*a + 5. Let t(g) = g**5 - 5*g - 2. Let b(x) = -2*s(x) - 5*t(x). Find the second derivative of b(r) wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5949.423 months in centuries?\nAnswer: 4.9578525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 0*l**3 + 1\/24*l**4 + 0*l + 127*l**2 + 0. Let z(a) = -4*a**2. Calculate c(z(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/131 and -2\/3063.\nAnswer: 401253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/15)*a*(a*a\/(a\/(a**(2\/19)*a)))\/a assuming a is positive.\nAnswer: a**(562\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97 + 130. Do i and 33 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 - -73. Suppose -i = -4*f + 193. List the prime factors of f.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = y - 956. Suppose -y = -5*m + k, -m + 5*k = -30 - 13. Calculate the greatest common factor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/9 + 2\/(-3). Let b = -8 + v. Calculate the common denominator of 1*(57\/b + 0) and 46.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -42. Is (3 + -3 + n - -325) + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 658 and 5828?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 36 = 6*y. Let k = 21 + y. Solve k*l + 4*a + 4 = 0, -5*a + 1 = l - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 13 = -5*d. Let m(f) = -f**3 - 4*f**2 + 5*f + 3. Let x be m(d). Solve 2*i - 29 = -5*j + i, -5 = x*j - 5*i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000011000101100001 (base 2) in base 7?\nAnswer: -4364251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 42.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + 0 + sqrt(5)) - (-1*sqrt(245) - sqrt(20)\/sqrt(4)*3))**2.\nAnswer: -150*sqrt(5) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5063153327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(6292) - (sqrt(6292) + 6*sqrt(6292)*1))*1 + 0)**2*-3.\nAnswer: -24463296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001189365 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 83. Suppose -3*g - h = p, 2*g + 2 + 6 = 0. What is p rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1887871?\nAnswer: 29, 65099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*g + 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 6*h + 4*h**2 + 5*h - 2*h**2 + 4. What is r(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 + 5*x - 25. Let s(b) = -b**2 + 3*b - 12. Let i(m) = 4*l(m) - 9*s(m). Let q be i(6). Let p be q\/(-8) + 51\/12. Solve -p*j + 15 - 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172615033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v - 6. Let a(b) = -456*b + 209. Let o be (12\/(-42))\/((-60)\/(-1260)). What is o*a(m) - 209*z(m)?\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57*s**2*u**2 + 1394*s**2*u + 5*s*u - 1497*u**4 + 3 wrt u.\nAnswer: 114*s**2 - 17964*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 72*k**3 + 61*k**2 + 132*k - 5. Give x(-2).\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -174 or -175?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1850\/11 - 168. Find o, given that 0 + 0*o - h*o**3 - 2\/11*o**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.2044203 from 4.148.\nAnswer: 5.3524203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*w = -14, -3*v + 4*w = 31 - 8. List the prime factors of (-3)\/((-12)\/401) - v\/(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2\/4197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -65439?\nAnswer: 2\/65439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 14*y**2 + 108*y + 181. Is 20 a factor of p(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 214*t - 1064. Let s be b(5). Solve 6 = 5*d + 3*p - 6, 0 = 3*d + 3*p - s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 25576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*d + 4*d. Suppose -d*o + 11*o = 0. Which is the nearest to o? (a) -1 (b) -0.3 (c) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 2 = -2*o + 3*y, o = 3*y - 1. Let g(s) = -4*s - 686*s**o + 4*s + 687*s**2. Let b(f) = -17*f**2. Determine b(g(a)).\nAnswer: -17*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/((2\/12)\/(-43*(-27)\/(-4644)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.011 - 0.389. Let h = -35 - -38. What is the fourth smallest value in h, g, 2\/3, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 7*y + 23. Let p be o(-9). Find the second derivative of -10*c - 5*c**p - 3*c + 20*c**5 + 8*c wrt c.\nAnswer: 300*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 1 (c) -0.19 (d) -3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -48*(9\/(-6) + 1). Which is bigger: 22 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -157, -3, -37\/11?\nAnswer: -37\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68922661 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -516604 divided by 516604\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 5*q + 5 = 0, 3*q + 7*q = h - 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12348 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/96 and -35\/1228176?\nAnswer: 2456352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*f - 5*f - 8, -f = 3. Let c(b) = 7*b - 6. Let n(o) = -6*o + 5. Let m(p) = u*c(p) - 6*n(p). Let j(s) = -s**2. What is m(j(v))?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*z**2 + 23*z**2 + 26*z**2 + 1186*z + 5*z**2.\nAnswer: -2*z**2 + 1186*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from {w: 1, m: 1, y: 1, o: 1, i: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**5 - 46*w**4 + 2687*w**3 - 613*w**2 - 197?\nAnswer: 60*w**2 - 1104*w + 16122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31.992 + 32. Let h = 0.058 - u. Suppose 6 = -v + 2*i - 5*i, -4*v - 2*i = 14. Which is the second biggest value? (a) h (b) -1\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 - (1 + 2 + -1). Let c = -16 + 2. Let u = f - c. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17935, -17716, -17497, -17278?\nAnswer: -17059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 130.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2355 is divided by 2296?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -308, -1603, -3886, -7151, -11392?\n\"Answer: h**3 - 500*h**2 + 198*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**8\/2688 - p**7\/840 + p**5\/240 - p**4\/192 - 4*p**2 + 8*p. Let z(g) be the first derivative of i(g). Factor z(v).\nAnswer: v*(v - 1)**3*(v + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -182, -175, -176, -185?\n\"Answer: -4*f**2 + 19*f - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21953 - -20525.7. What is o rounded to the nearest ten?\nAnswer: -1430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + c + 2*c)*(119 + 9*c - 119)*(3*c - 2*c + 0*c).\nAnswer: 36*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + (-45 + 0 - (-62 + 39)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 27302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.89 - -0.11. Let d = h - 13. Let p = d + 6.002. What is p rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 + 36. Let k be (0 - (z - 1)) + 1. Solve -3*i + k*o = 0, 3*i - 8*i = 2*o + 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 2. Let c be w(0). Suppose c*d + p = 7, -5*d - 5*p = -3*d - 11. What is the units digit of (-1)\/(3\/(-34))*d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709564 at most 709408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*0.2.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u - 2. Calculate v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaiaa. Give prob of sequence ia.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 551*m - 95. Let h(c) = -23*c + 4. Determine 95*h(z) + 4*q(z).\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*o + 160*o = 26901. What is the greatest common factor of 305 and o?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - i - 2. Let j be p(-2). Suppose 5*d - j = 3*d. Solve -d*u = -2*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1205 and 3441.\nAnswer: 4146405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f + 3 - 63 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 155 (base 6) to base 12\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1266 (base 11) to base 14.\nAnswer: -857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4618 + -4617.6. Which is the third biggest value? (a) 4 (b) h (c) 0.0801\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 12 - 2. Let g be -3 - (-16 - (4 - 1 - 2)). Suppose n - g = m. Solve 6 = 3*a, m = 2*d + a - 3 + 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 258 (b) 2 (c) -5 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*d = 6, 2*b - 2*d = -0*d - 14. Let o be (-8)\/12*21\/b. Let c(j) = 2*j - 5. What is c(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**2 - 11*y + 9. Let m(j) = -5*j**2 + 10*j - 8. Let t(s) = 2*m(s) + 3*w(s). Let k be t(5). Let f be 81\/k - (-10)\/40. Is -19 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 2610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*(sqrt(1331) + 0 + 2))**2.\nAnswer: 176*sqrt(11) + 5340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1369 and 6.\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1\/4717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068152581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -193 + 204. Let a(m) = -13*m + 143. Let z be a(b). Solve -1\/2*q**4 + 1\/2*q**2 + z*q + 0 + 3\/4*q**3 - 3\/4*q**5 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/22669455 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -7) + 3 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 - 65. Let j(c) = -3*c - 8. Let l be j(a). Suppose l*s - 302 = -2*v, 0*s = -3*s - 3*v + 219. Calculate the remainder when s is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 5*y + 3. Let o be (-6)\/y + 2\/3. What is the second smallest value in -4\/9, -6\/7, o?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5734)\/(-244))\/((-3)\/(-2))*((-15)\/5)\/1?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3512\/12292)\/((-2)\/(-588))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/4 + 1249221*d\/2 + 1560553106841\/4 = 0 for d.\nAnswer: -1249221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + 0.4. Let z(x) = -x**2 - 93*x - 256. Let u be z(-90). Which is the nearest to g? (a) -0.3 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 3*n**2 - 10*n + 3. Let b be q(5). Let h(y) = -4*y**3 + 11*y**2 - 2*y. Let a(v) = -2*v**3 + 5*v**2 - v. Determine b*h(l) - 7*a(l).\nAnswer: 2*l**3 - 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 i, and 1 l when four letters picked without replacement from {k: 1, r: 2, q: 1, o: 3, l: 3, i: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 - 3*m - 11. Let a be u(-3). Let b be 20\/(-100)*(a - 0). Put b, 61, 2 in ascending order.\nAnswer: 2, b, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyii when four letters picked without replacement from mmiymimyyimyigmy.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**14\/n)\/(n\/n**(-15)) assuming n is positive.\nAnswer: n**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -j, 1 = 5*j + 3*i + 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99759*k**2*o + 4*k*o + 60*k - 14*o + 3 wrt k?\nAnswer: -199518*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 15 + 10)*(-25 - 11*j + 25 + (3 - 4 + 2)*(j + 4*j - 4*j)) to w*j + z and give w.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(80)*2 + -2*sqrt(30)\/sqrt(6)*-3.\nAnswer: 2 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*l + 188 = -94 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.82855l to millilitres.\nAnswer: 2828.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 4*p - 168. Let h = p + -18. Let k = h - 17. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 495*k**3 - 3*k**2 - 3*k + 406. Let q(i) = -505*i**3 + 4*i**2 + 4*i - 405. Let b(a) = 4*d(a) + 3*q(a). What is the derivative of b(s) wrt s?\nAnswer: 1395*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(22)\/sqrt(8) + sqrt(77)\/(sqrt(112)*-1).\nAnswer: -1 + sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/1 - 8) + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1 + 1 = 0. Let x = 3 + u. Is (-1)\/(1*x\/(-50)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6591 is divided by 1640.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -77*k - 203. Calculate the remainder when t(-3) is divided by ((-5)\/4)\/(6\/(-96)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/79 or 3\/1981?\nAnswer: 3\/1981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*p + 2434, 3*x + 2*p = -0*x - 1836. What is x rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -41*c**2 + 289*c + 14. Let k(p) = -35*p**2 + 289*p + 12. Calculate 7*k(d) - 6*r(d).\nAnswer: d**2 + 289*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -18324248259 + -7\nAnswer: -18324248266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 10*v**2 + 30*v - 11. Let n be s(12). Let o be 1\/(0 - 1) - -3. Let x be n + -8 - (-2)\/o. Calculate the highest common divisor of 36 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6557468065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**5\/60 - 5*d**4\/24 + d**3\/6 + 2*d**2. Let y be v(4). Let o(q) = 4*q + 5 - 19*q**2 - q**3 + 18*q**2 - 2. Calculate o(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40890, -163478, -367790, -653826, -1021586, -1471070?\nAnswer: -2002278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87.31849 - 3.52109. Let k = -0.0974 + h. Let d = k - 84. Put 3, d, -2 in increasing order.\nAnswer: -2, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -1602336?\nAnswer: 1602332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15993?\nAnswer: 3, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 8:47 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**4\/4 + d**2\/2 - 2*d - 50. Calculate o(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 44.9. Let x = -104\/7 + 15. Let c = 0.03 - 0. What is the closest to k in x, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93)\/(-217)*2\/9?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -2. Let f be (-608)\/18 + r\/(-18). Let g be (-4)\/10 + f\/(-10). Solve -8 - 17 = -b + 5*c, -3 = -3*b - g*c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c + 3*c**3 - 3*c + 4 - 4*c**3. Let j be k(0). Find the third derivative of 0*i**2 + j*i**5 - 3*i**5 + 3*i**2 wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -273*c**5 + 197087*c**3 - 823462380*c wrt c?\nAnswer: -5460*c**3 + 1182522*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2480591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**2\/2 - 8*n - 1566. Let s(l) = 2*l + 17. Calculate 2*s(k) + 5*t(k).\nAnswer: -k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 6, -0.192, 96, 3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2 - 3, 5*v = -5*s - 30. Let o(m) = 0*m - 220*m**2 + 211*m**2 - 7*m. Let l(h) = -3*h**2 - 2*h. What is v*l(d) + 2*o(d)?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183075 is divided by 87525.\nAnswer: 8025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(-6\/11))**(-39)*((d*d*((d\/(d*(d*(d\/d**(2\/3))\/d)\/d*d))\/d)\/d*d*d)\/(d**(1\/2)*d))**(2\/59) assuming d is positive.\nAnswer: d**(1\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -140.9335 or 455?\nAnswer: -140.9335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxppxpppxxppp. What is prob of picking 2 x?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5178473 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 40 = -4*y - 2*x, 0 = 5*y - 4*x - 85 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24713, 197718, 667339, 1581884, 3089661, 5338978?\n\"Answer: 24718*l**3 - 21*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0800234 rounded to three dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(245\/(-85)) + (-6)\/(-14). Let f(j) = -135*j + 6. What is the hundreds digit of f(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8440 and 4548.\nAnswer: 9596280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 21292244.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Let c = t - 0. Let f = 171 + -167. What is the third smallest value in f, -4, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 176*u**2 - 5*u + 2 + 6*u. Let z(w) = -2*w**2 - 5*w. Let f(k) = -k. Let i(c) = 5*f(c) - z(c). Determine x(i(l)).\nAnswer: -704*l**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20589, -20609, -20641, -20685, -20741?\n\"Answer: -6*r**2 - 2*r - 20581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**5 - 25*o**3*u**3 - 6*o**2*u**3 + 7*o*u**3 - 2*u**3 wrt o.\nAnswer: 120*o**2 - 150*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a centimeter in millimeters?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 1. Sort 2, 1, y in increasing order.\nAnswer: y, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**4\/12 - 7*u**2 + 26*u. Determine j(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 + 0*(-1)\/2. Suppose -b = -s, -11 - m = -3*b - s. What are the prime factors of -2 + 19 + (4 - b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -26 - 218*s - 145*s + 27 + 63*s. List the prime factors of j(-1).\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 33665, 67408, 101215, 135092, 169045, 203080?\n\"Answer: m**3 + 26*m**2 + 33658*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 14*k**2 - 31*k + 18. Let p be h(-16). Let m = -9 + 5. Which is the nearest to -2\/7? (a) -3 (b) m (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1.2 (b) -2 (c) -3\/7 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) -0.1 (b) 3 (c) 11\/14 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 252575144058.54519752 - 252575128229. Let z = w + -15815.5452. Let q = z - 14. What is q rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 592 and 13771252.\nAnswer: 55085008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v. Let i(a) = -601*a**2. Calculate l(i(q)).\nAnswer: -1202*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 0.5, 45708, -0.6, 0.1, -17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.46 + -0.69. Let m = 0.33 + l. What is the nearest to m in -5, 6\/7, 2?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/78 - 3593964\/(-24453))\/(-3 + 6).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-104)\/234)\/((-2)\/153)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 10*n**2 - 21*n + 83. Let m(c) = -2*c**2 + 4*c - 15. Determine 2*b(z) + 11*m(z).\nAnswer: -2*z**3 - 2*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 2172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - 2.61. Let p = -3.2 - n. Sort -0.5, 0.4, p in increasing order.\nAnswer: p, -0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 89, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-40) + (-522)\/(-40). Put -3, -18, i, 4\/5 in descending order.\nAnswer: i, 4\/5, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*t - 6 - 30. Suppose -2*h + 5*g + 44 = 0, -4*g - 53 = -4*h + 11. Suppose -h = -f + 4*f. Which is the smallest value? (a) 0.3 (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**7\/210 + 13*g**6\/120 - 37*g**5\/30 - 21*g**2. Find the third derivative of a(c) wrt c.\nAnswer: -24*c + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -135*o - 11. Let r(c) = -45*c - 4. Calculate -6*q(v) + 17*r(v).\nAnswer: 45*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51367 and 548467?\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44, -48, -52, -56, -60, -64?\n\"Answer: -4*g - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/21)*d*d\/(d\/(d*(d*d\/(d\/((d*d\/(d**(-3\/2)\/d)*d)\/d)))\/d))*(d*d**(-5))**(-4\/11) assuming d is positive.\nAnswer: d**(3719\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -458*g + 467*g - 468. Let v(s) = -13*s + 1. Calculate the remainder when g is divided by v(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + n**2 - 6*n + 113. What is i(-7)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 132.3303203 rounded to two decimal places?\nAnswer: 132.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2 - 535*f - 1889844 = 0. What is f?\nAnswer: -1133, 1668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 135?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-4*t**2 + 3*t**2 - t**2) + (-176*t - 7 + 7)*((3 + 4 - 5)*(4*t - 3*t - 2*t - 2)*(-3 + 4 + 4) - 4 + 4 + 2*t).\nAnswer: 1406*t**2 + 3520*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(4) - 5*sqrt(100))\/sqrt(2)*5 + (sqrt(2) + -1)*5 + sqrt(450)\/sqrt(9))**2.\nAnswer: 1540*sqrt(2) + 24249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -656, -703, -774, -881, -1036, -1251, -1538?\nAnswer: -1909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 11*h + 73. Give k(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3413 (b) 2 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 0*n**4 + 10*n**2 + 0*n**3 + 0*n - 17 - 6\/5*n**5. What is the second derivative of j(p) wrt p?\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103315 + 3*w + 103315 - 206630.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 0*d**3 - 5*d**2 + 0*d**4 + 4\/3*d**6 - 1 + 0*d**5 + 0*d. What is the second derivative of c(m) wrt m?\nAnswer: 160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13506 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1389677 rounded to 3 dps?\nAnswer: -0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26 + 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1704e - 34?\nAnswer: 1701a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*q**2 + 9*q**3 + q - 19*q**3 + 16*q**2 + 25*q**3 + 17 to w + j*q**2 + m*q + r*q**3 and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.02 * -69407.\nAnswer: -140202.14","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 15*b**2 + 2*b - 13. Let k be (2 - 2) + 10 + -1. Let q be r(k). Suppose -q = s - 3*s. Round s to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 27225.881 and -4187?\nAnswer: 31412.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + c - 6*c - c - 4*c + 4*c + (0*c - 2*c + 4*c)*(1 + 3 - 2) - 2 + c + 2 + 5*c + 19*c + 24*c)*(3 - 2 + 0)*(-2*c**4 - c**4 + 5*c**4).\nAnswer: 100*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -17 - ((-3 - (0 - 12)) + -24)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c - 24 = -g, -4*c - 4*g = -125710 + 125890 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.6598*-0.4.\nAnswer: -3.46392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0588655 to 3 decimal places.\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d**2 + d - 1. Suppose 35*a = -13*a - 113*a + 23828. Calculate the remainder when a is divided by w(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.1, 13, 10471, 4, 2?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = s - 44. Let i be -1 + -6*(-4)\/s. Put i, -3, 0.1 in decreasing order.\nAnswer: 0.1, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-101)\/5*(-40)\/(-48) and -37\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 795 = 28*a - 16*a. Calculate the highest common divisor of 5777 and a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 868 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29409172 by 28636.\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370*v + 47 - 168 + 121 - 262*v + 201*v.\nAnswer: -431*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (2 + 4 + -7)) + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 b when two letters picked without replacement from {t: 4, s: 2, f: 1, b: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 + 23. Let w = -6099.80088 + 6124.8. Let l = d + w. What is l rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**40\/d*d)*((d\/((d**22*d)\/d))\/d)\/d)\/((d\/((d*(d*d\/(d\/((d\/(d*d**(-33)*d)*d)\/d))*d)\/d*d)\/d*d*d)*d)\/d**19) assuming d is positive.\nAnswer: d**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -55*g. Let v(n) = -48*n**2 - 65*n**2 + 19*n**2 - 127*n**2 + 41*n**2. What is b(v(o))?\nAnswer: 9900*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*v + 1)*(-3 + 2 + 0) + (-4 + 0 + 5)*(v - v - 4*v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-52)\/(-10) - 2\/10. Suppose -4*q - 8 = t, 5*q + 32 = o*t + q. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 13*y = 12*y - 3*y. Sort 5, 98, -2, y, 8 in decreasing order.\nAnswer: 98, 8, 5, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-13 - -8) + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 3*g**2 + 4*g - 4. Let v be i(5). Let j be v\/36 - 20\/(-4). Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118055, -944626, -3188165, -7557152, -14760067, -25505390?\nAnswer: -40501601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2888902 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**3 + 75*m**2 - 160*m - 240 = 0 for m.\nAnswer: -1, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-36)\/8)\/(1 + (-3)\/2). Solve -8*v + d*v = 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-7 - 9) - 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1, 24, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 283.9 - 187.8. Let a = c - 91. Let h = a - 5. Is 3\/4 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239858427, -239858439, -239858465, -239858511, -239858583?\nAnswer: -239858687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(1\/16))\/p*p*p**(2\/7)*(p\/(p\/(p\/p**(-1\/13))))\/p**(3\/5))**(11\/5))**(-2\/35) assuming p is positive.\nAnswer: p**(-146157\/637000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*u + 2*g - 8, 12 = 2*u - 2*g. Solve -u*o = s - 6, 0 = 2*s + 2*s - 4*o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2599625083?\nAnswer: 11, 463, 467, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 183211862 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19867269*a**4 + 14*a - 517143?\nAnswer: 238407228*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -45, -52, -73, -114, -181, -280, -417, -598?\n\"Answer: -g**3 - g**2 + 3*g - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 + 33. Let c = -5 + m. Let o be ((-21)\/c)\/(21\/(-15)). What is the second biggest value in 3\/8, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2085 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from uupavcv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 41806192, 83612394, 125418598, 167224804, 209031012?\n\"Answer: i**2 + 41806199*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -211, -312, -415, -520, -627, -736?\nAnswer: -847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15228 divided by 1.\nAnswer: 15228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/11950017 and 16\/27.\nAnswer: 107550153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -153538230+-4\nAnswer: -153538234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-18) + (-3913)\/252. Let j = t - -303\/20. What is the third biggest value in 0, 0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -199\/3 + 67. Determine x so that 0 + o*x**4 + 10\/3*x**2 + 8\/3*x**3 + 4\/3*x = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djdjdjkjkjjx. What is prob of picking 1 d and 1 x?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(782\/828 - -1*(-2)\/2)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2846 (base 10) to base 13.\nAnswer: 13ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(3\/26)\/(((s\/s**(4\/5))\/s)\/(s*s\/(s\/((s\/(s**(2\/9)*s)*s)\/s)*s))) assuming s is positive.\nAnswer: s**(26\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-4)*w*(w*w*w**10*w)\/w*w)**18 assuming w is positive.\nAnswer: w**198","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6089307083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 6*n + 5. Let q be u(-4). Let t be 1\/(-26)*8\/2. What is the biggest value in 5, q, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + 3*r - 2*r)*(-1 + 5 - 2) - 43*r + 19*r + 16*r to f + v*r and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*i - 224*i = 200 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -9*d + 14. Is 4 a factor of c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*(-4)\/(-36))\/((-4)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39457 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (1 - (4 + 13)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -110122?\nAnswer: -110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {d: 1, n: 1, s: 4, t: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2838 and 19120?\nAnswer: 27131280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15855*q**2 - 7*q + 394010.\nAnswer: 31710*q - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -2 - (505\/224 - (-68)\/(-238))\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339*v = -397*v - 1768775 - 6353545. What is v rounded to the nearest 1000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73360 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1569125 by -5.\nAnswer: 313825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 0 + -59 + 61. Suppose f*c = 307 - 13. What is the remainder when c is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 11*l + 4*l - 15*l. Let y(t) = -t + 8. Give m(y(k)).\nAnswer: -k + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*i = -15809 + 4712 - 11457 for i.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -38*y - 222. Give q(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14996\/21 - 4994\/7. Suppose 8*l + 26\/3 - k*l**2 = 0. What is l?\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 375 in -480, 5, 6\/25?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(132)*-2 + sqrt(132) + sqrt(132) + sqrt(132) + sqrt(132) + sqrt(132)*2*1)\/(4*sqrt(60)\/sqrt(5)*-4).\nAnswer: -9*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -61810.63 to the nearest ten.\nAnswer: -61810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + (-70)\/(-84))\/(3\/(-18)). Suppose v = -b - 31, -b + v = -3*v + 51. Sort 3, -2, b, q in decreasing order.\nAnswer: 3, -2, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by 6.\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*a = -6*w + 3013, 5*w - 5*a - 7540 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(5) + sqrt(180) - (sqrt(5)*-2 + sqrt(5))*4 - (6*sqrt(4455))\/sqrt(11)).\nAnswer: 172*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1\/5 (b) 1 (c) 13.1 (d) -0.1546\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 644, 638, 632, 626?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*b**3 - 6*b**2 - 11*b**2 + 11*b**3 - 4*b**2 wrt b.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -62*b + 224. Let y(v) = -3*v**3 + 5*v. Let w(h) = 2*h**3 - 4*h. What is b*y(a) + 5*w(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362 = 4*q + 2*h, -5*h - 211 = -4*q + 2*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0, -76\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 481235573?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125 - -123. Is h at most -15\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 35*p**4 + 31*p**4 - 4*p**3 + 2474*p**2 - 2475*p**2 in the form i*p**3 + z*p**4 + o*p**2 + s + q*p and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 41204?\nAnswer: 41205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 + -83 + 0 + 7 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 23653 = 5*t, 57*c - 3*t = 59*c - 23629. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001000001 (base 2) to base 13\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40683?\nAnswer: 3, 71, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h + 0*h + 0*h)*(2*h**2 + 2*h**2 - 6*h**2) + 0*h**3 - 2*h**3 + 0*h**3 - 39047*h**3 + 25847*h**3 + 21385*h**3)*(-1 + 1 - 2*h).\nAnswer: -16362*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 34485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1043*t**2 - 1023*t**2 + 2061*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 7*n + 364. Let m be 2 + n\/20 + 1. Which is the nearest to 1? (a) -6 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, 145, -5 in decreasing order.\nAnswer: 145, 7, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p - 10, 3*p = 4*q - 114. Let w = q - 16. Solve 0 = 4*v - 2 + w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*l - 8*l**2 + 16*l + 27*l**2 wrt l?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s + 63. Let z be g(33). What is the least common multiple of (-4)\/z - (-10)\/15 and 476?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-121)\/(-1692))\/((-465)\/(-1395)) and 53\/18.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/9, 1\/4, -4\/3, 2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 1:10 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*m, o - 6 = -4*o + m. What is the third derivative of -5*g**3 - 10*g**2 + o*g**3 - 9*g**2 - 9*g**3 wrt g?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117 - -165. Let d = 59 + o. Suppose -12 = 5*t - d. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42\/(-8) + (-3)\/(-12). Suppose 0 = -4*z + 27 - 7. Suppose -i = -z*c - 19, 5*c + 9 + 16 = -5*i. Put -2, v, c in decreasing order.\nAnswer: -2, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18552, -37017, -55482?\nAnswer: -73947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 19. Solve 5*c + 2 + t = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*z + 8 = 0, -51*z - 18 = -2*r - 47*z. Sort -5, -10, r, 3 in decreasing order.\nAnswer: 3, r, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1020, -1020, -1000, -954, -876?\nAnswer: -760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, e: 2, y: 1, i: 2, a: 1, c: 4}. What is prob of picking 1 a, 2 c, and 1 y?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, s: 4, b: 3, w: 1}. Give prob of sequence wv.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 137*s - 1229. Let l be g(9). Solve -q + l*q + 6 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 428634727?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 335\/24 + -385\/48. What is the common denominator of (-34)\/(-88) - (-2 - -2) and l?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 24*r - 81. Let k be s(29). Suppose -11*l + k = -2443. What are the prime factors of l?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11599038?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1914, -5, 3, -2 in descending order.\nAnswer: 1914, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (0 + 4)) + 3 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*w - 190 = 0, 21 - 114 = -3*b - 3*w. Let d = -20 - -28. What is the remainder when b is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6479 a factor of 1997843691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - ((-22)\/3)\/(54\/81).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 899*o**4 - 899*o**4 - 13*o**2 - 23*o**5 + 4*o**5 wrt o.\nAnswer: -1140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 176 in 2, 0.1, -3, -2\/135?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15895368?\nAnswer: 2, 3, 277, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from {g: 7, u: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/15 - 2\/3*v**5 + 44\/15*v**4 - 76\/15*v**3 - 26\/15*v + 64\/15*v**2.\nAnswer: -2*(v - 1)**4*(5*v - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 4*c**2 - c**2)*(7 - 7 + 5*c**3) + (4*c**3 + c**3 - 3*c**3)*(2*c - 2*c**2 - 2*c).\nAnswer: -9*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -23114 (base 5) to base 8\nAnswer: -3173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 2*a**4\/3 - a**3\/2 - a**2 + 3*a. What is the remainder when m(-2) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 7 (c) -0.4 (d) -404\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 8*i**3 - 42*i**2 + 94*i - 22. What is g(2)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 816 + 6096. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-19)*z**14*(z\/((z**(-3\/8)*z)\/z*z)*z)**46)**(-25) assuming z is positive.\nAnswer: z**(-5825\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from oibbbbyuoibviibbv.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/4 + m**3 - 3*m**2\/4 - 7*m\/2 - 2.\nAnswer: (m - 2)*(m + 1)**2*(m + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + w**2 + w**2 + 0*w**2 - 77*w + 7.\nAnswer: 2*w**2 - 77*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31521, 126132, 283825, 504606, 788481, 1135456?\nAnswer: 1545537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 0.2. Let r = -920 - -916. What is the nearest to 4 in m, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/1448046 and -79\/54?\nAnswer: 4344138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by -13\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 1. Let g be w(9). Let c = 9 - g. Let n be c\/(-3) - (-10)\/(-12). Is -2 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/4 of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(304) - (sqrt(304) + 2)) + -3 + sqrt(304) - (sqrt(1539) + -2 + -4 + sqrt(1539))) + 1)**2*2 + 4.\nAnswer: -112*sqrt(19) + 7460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = -73*d + 122*d - 105 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6 = -9. Suppose -45 = g - 2*g - a*u, -5*u + 145 = 3*g. Suppose 2*w = 7*w - g. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1. Let f be (-9030)\/(-9) + x\/3. Suppose 3*y + 2*u = -u + 591, 0 = -5*y + u + f. What is y rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2741184792?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = -846 + 3294. List the prime factors of j.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -263.238 - -0.238. Let f = h - -261. Let r = 0.2 - -5.8. Which is the smallest value? (a) 0 (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -209.2 + 209.20002395. Round i to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s = -24*s + 8. Let w = -8 + s. What is the common denominator of 208\/w*(-2)\/12 and -15\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 803799611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -4*y - 4*k, -3*y - 4*k + 9*k - 32 = 0 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -313*i**3*v**2 - 4*i**2*v + 32*i*v**2 wrt i.\nAnswer: -1878*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 4*n. Suppose -3 = -2*b - 15. Let z(r) = r**2 + 7*r + 6. Let j be z(b). Solve -4*s = -q - n*q + 5, j = q + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 682656 to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-21)*j*j*j\/((j\/(((j*j\/j**(-1\/5))\/j)\/j))\/j))**(-26\/3) assuming j is positive.\nAnswer: j**(2054\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, -2, -1\/47 in decreasing order.\nAnswer: 7, 0, -1\/47, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 450 and 28860075.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1351 and 1379.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 48, -1\/7, 131?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27971.1866 - -27971. Round d to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 1, 8.\nAnswer: 1, 8, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/32*(8 - 260\/45).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 9*z**2 + 5*z + 3. Let n be (-80)\/(-15)*9\/6. What is x(n)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 364025, 728051, 1092077, 1456103, 1820129, 2184155?\n\"Answer: 364026*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -19. Let v = m - 6. Suppose f = -v*f - 2*q + 255, -58 = -f + q. What is the remainder when f is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5\/8 - 27*c**4\/2 - 719*c**3\/8 - 151*c**2 + 105*c\/2 + 202 = 0. What is c?\nAnswer: -101, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 73586 to the power of 1\/2, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0*a + 0*a)*(-3 + 5 + 0)*(22 - 39 - 14).\nAnswer: 62*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 429 and 3102?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y. Let o(w) = -1406*w + 2. Determine 4*l(f) - o(f).\nAnswer: 1374*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 186\/307 <= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.123 + -0.123. Which is the fourth smallest value? (a) 5 (b) z (c) -5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 141898672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -177*m**3*w**3 - 47698*m**2*w**2 - 13*m*w**3 + 64*m*w**2 + m*w + 2*w**3 - 55*w**2 + w wrt m.\nAnswer: -1062*m*w**3 - 95396*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + -5)**2 - sqrt(7)) + -3.\nAnswer: -21*sqrt(7) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 525*j**2 - j + 227*j**2 + 267*j**2 to the form u*j**2 + r*j + d and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*j = -88*j + 2730. What is the remainder when 610 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from hlnhhlhn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 35 = 5*y - 6*n, 3*y - 47 = -4*n. Calculate the remainder when 808 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 5*k - 1. Let h be b(-5). Let n be ((-2)\/3)\/(h\/3). Let o(v) = -v**3 - 4*v**2 + 6*v. Let z be o(-5). Sort 5, n, z in increasing order.\nAnswer: z, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + x = -0*l + 184, 3*l + 3*x - 276 = 0. Solve -4*d - 80 = -l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-9))\/(-2)*-122. Let m = -74\/9 - c. Let v be (-378)\/315 - (-36)\/5. Is v greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w - 1. Suppose 3*k = 9*k + 42. Let d(m) = -10*m - 1. Let j(p) = k*c(p) + 6*d(p). Let a(s) = 7*s + 3. Let q = -4 + 2. Determine q*a(u) + 5*j(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1054988140.35 and 0.06.\nAnswer: -1054988140.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 24)*((-14 - -7) + -7 + (3 - -4))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 6*w - 4*w)*(3*w**2 + 0*w**2 - w**2)*(4*w - 9*w + 3*w).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10709480\/7 > 1529926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 5. Let c = -5 + v. Let i(u) = 8*u**2 + u - 2. Is i(c) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/27 (b) -643 (c) 350\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 13137*l - 748733. Determine u(57).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 13 = 11. What is the units digit of (w + (3 - 20))\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/18*3)\/(-6)*48\/(-32). What is the second biggest value in k, -7, 0.2, -2\/9, -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyoofyyooyoyyooooy. What is prob of picking 1 o and 2 y?\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 113 and -42880.\nAnswer: -42767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - 2*z**2 + 4 + 3 - 8 + 3 + z - 29*z**3 to the form c*z + y*z**3 + b + d*z**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + h + 1. Let r = 12 - 10. What is the smallest common multiple of s(r) and 3\/18*9*6?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*a + 99*a + 3702*a**3 - 3698*a**3 - 47*a.\nAnswer: 4*a**3 + 215*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2907764 + -1.\nAnswer: -2907765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 5. Let b be u(7). Suppose b*p = 3*t - 160, -2*t - 4*p = -p - 85. Calculate the remainder when t is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9718586 (base 10) to base 16\nAnswer: 944b3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317*m - 463*m - 569*m.\nAnswer: -715*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*u - 23 + 54 - 29 to b*u + s and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/2, -58, -315.97?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 542\/5?\nAnswer: 542\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 6*t = t + 7*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4 - 4706744*m**3 - 3692274362400*m**2 - 965522359700180000*m - 21239704902729500000 = 0. Calculate m.\nAnswer: -784450, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inl when three letters picked without replacement from ilhononlbolh.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5 = -1, p = 3*i + 11. Let r(x) = -x**3 - 5 + 8*x - 12*x + 0*x**2 + p*x**2 + x**2. What is r(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13212 (base 4) in base 3?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 + 6632*z - 152 - 6630*z + 4*z**2 to the form u*z**2 + s*z + r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*v - 28*v + v**2 - v**2 + 5 - 5 - 5*v**2 + 5*v**2 - 3*v**2 + (-3 + 1 + 4)*(0*v**2 - 2*v**2 + v**2) - 7*v**2 - 9 + 9 - 3*v**2 - v**2 + 2*v**2.\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*g - 60 = 0, 4*w = -3*g + g + 38. Suppose -w*r = -5*r + 14. Let i(f) = f**3 + 6*f**2 - 8*f - 8. Determine i(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.03 - 1.97. Suppose 0 = -4*y + 5*f + 20, -2*f - 8 = -2*y - 0*y. Which is the fourth smallest value? (a) 4 (b) z (c) y (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 403043?\nAnswer: 3224344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 58*l + 89*l - 40*l - 14*l + 75*l.\nAnswer: 168*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 - 2*w**2 - 2*w - 59. Let y be g(0). Let z = 137 - y. What is the remainder when z is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2 + 4*f. Let g(y) = -7*y**2 + 7*y. Determine 3*g(z) - 5*k(z).\nAnswer: -6*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (12 - (-5 + 10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -188b - -73020?\nAnswer: 71462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 + 82. Suppose -26 + 98 = n*u. Suppose 45 = u*f + 3. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86631253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.65 * 15.72387.\nAnswer: -10.2205155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3016 and 208?\nAnswer: 6032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - q - 5*q**3 + 14 - 11 + 5*q**2 + q**2. Let v(w) = -7*w**3 + 6*w**2 - w + 3. Let b = 3 - 9. Let z(p) = b*n(p) + 5*v(p). Determine z(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.24 + 3.897. Let x = g + 0.243. What is the second biggest value in 1\/37, x, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 8 + 0\/(-1). Let b(w) = -w**2 + 11*w - 13. Let g be b(v). Is 5 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2021 (base 3) to base 16.\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(42)\/(sqrt(7)*-4)) + 0)**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 21.104. Let j = q - -0.836. Let d = j + -0.5. Round d to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5284267.0197 + 486.0197. Let g = t - -5283785.0000024. Let z = g - 4. What is z rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 27*n**2 + 4477*n - 557599. Determine t(83).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/16 - 1085\/(-56)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 366.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/36)\/((-2)\/20156) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*z**3 + 17*z**3 - 46*z**3)*(-3*z + 2*z + 0*z) as r + t*z**2 + l*z**3 + o*z + w*z**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3. Put g, 3, -5 in decreasing order.\nAnswer: 3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(7) + 0) - (-2 + sqrt(567) - sqrt(7) - sqrt(7) - sqrt(7)))**2 + (sqrt(140) - -2*sqrt(140))\/((-2*sqrt(10))\/sqrt(2)).\nAnswer: -47*sqrt(7) + 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 42 = 10*p. Solve 2*w - 12 = p*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-8)*-5)\/((-1)\/2). Let w(g) = 5*g**2 - 14*g + 9. Let n be w(u). What is the greatest common factor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190 and 47348?\nAnswer: 236740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) 0.5 (c) 1 (d) -3 (e) 5302 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.9 - -1.1. What is the biggest value in -1, 0, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skzs when four letters picked without replacement from skbbzmk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - -1 - (-14)\/8. Let q = -6188.6 + 6189. Which is the second smallest value? (a) -5\/6 (b) q (c) n (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13121213230 (base 4) to base 16.\nAnswer: -1d99ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/6)\/((-623)\/3471*13))\/(1\/15)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 239\/623 - -4\/89. Is x > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + 15. Let k = 160 + 74. Calculate the remainder when 10 is divided by 3\/7 + k\/l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 981 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 20 = -t, w + t - 4 = 8. What is the highest common factor of 40 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 0*j + 2*g - 1, -2*j = -2*g. What is the common denominator of 57\/208 and 5 - (91\/(-6) + (j - -3))?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22012221201 - 200?\nAnswer: 22012221001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**4\/2 - 14*h**3\/3 + 14*h**2 - 16*h + 31. Factor m(f).\nAnswer: 2*(f - 4)*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8*s**2 + 6*s - 7. Let y be i(1). Solve 0 = -2*a + 2*r - y*r + 17, -3*r + 4 = -5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from {c: 4, x: 4, z: 2, n: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 2*g**2 + 2*g**2)*(-4 + g**2 - 89*g + 18 - 15).\nAnswer: 2*g**4 - 178*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2760 by 920.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5 - 8*t**4 - 10*t**3 - 4*t**2 = 0. What is t?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + 1 + (-1 - 3). Suppose 0 = 15*o - d*o - 657. What is the remainder when o is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 2350.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45759 and 32613?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 55*q + 221. Determine c(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by -30.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 29*j - 28*j - 5*t, 27*j + 5*t = 26*j + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9339, 18740, 28155, 37590, 47051?\nAnswer: 56544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -22 - 29) + 8 + 1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 702*b - 7964.\nAnswer: 2*(b - 11)*(b + 362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from aqqqugg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 3 - 2 - (-1 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3534 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2, -28, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 111355545.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 4*t = -5*d - 356, -2*t = -8. Let i = 170 - d. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 4:53 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**4 - 3*o**4 + 0*o**4)*(-1 - 2*o + 1) + 1730*o**5 + 1075*o**5 + 89*o**5.\nAnswer: 2892*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19642.48 litres?\nAnswer: 19642480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + m**2 + m + 18. Let r be h(0). Suppose -3*o - 679 = 119. Let t = o + 392. Calculate the highest common factor of t and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s**2 + 29*s**2 + 18*s**2)*(-2 + 0 + 3).\nAnswer: 55*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 433*t**4 - 2*t**2 - 87*t**4 + 2*t**2 + 13*t**4 + 1927 wrt t?\nAnswer: 1436*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2448, -3, -1, 3 in decreasing order.\nAnswer: 3, -1, -3, -2448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1440, -1235, -898, -429, 172, 905, 1770?\nAnswer: 2767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*b = -37 - 69, h + b - 102 = 0. Suppose 51 + 18 = -d. Let x = d + h. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 303 = s. Let x = s - -92. Is -2 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23814, -23951, -24140, -24381, -24674, -25019, -25416?\nAnswer: -25865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaf when three letters picked without replacement from {a: 2, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26196331 divided by 609217?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h - 11*h + 47 = -3*f + 68, -5*f + 35 = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 21*u**2 + u + 367. Determine k(-23).\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-6 - -3) - 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -0.8. Let w = 313\/116 + -67917\/580. Let u = 114 + w. Which is smaller: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200, -215, -230, -245, -260?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - t**2 + 2*t**3)*(-3 - 2*t + 3) - 2*t**4 - 2*t**3 + 2*t**3 + (5*t**2 - 2*t**2 - t**2)*(24*t**2 + 8*t**2 + 11*t**2).\nAnswer: 80*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(304))**2.\nAnswer: 48*sqrt(19) + 1830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 2*m + 12, -1040*m + 1043*m + 2*l = -13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 37*x. Let l(f) be the second derivative of -11*f**4\/3 - 2*f + 279. What is c(l(g))?\nAnswer: -1628*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64553 - -64557. Let w(u) = u**2 + 6*u - 12. Let c(t) = -t**2 - 6*t + 11. Let q(d) = 7*c(d) + 6*w(d). Calculate q(l).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-35)\/10 + 4)\/((-1)\/(-60)). Is (31 - g)*(1682 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2*h + 1662 - 1607 = 0, 5*h = -c - 129 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 866?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15804, 15831, 15904, 16047, 16284, 16639, 17136?\nAnswer: 17799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 0 + 0*x**3 - 28*x**2 + 0*x - 1\/12*x**4. Let c(s) = 6 + 0 + 3*s + 1 - 8. Give c(o(n)).\nAnswer: -6*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 6*a. Let l(k) = a + 2 + 9*k - 1. List the prime factors of l(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7205675 by 5.\nAnswer: -1441135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.4, 4, -131, 9, -13\/3?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + 37*u**4 + u - 21*u**4 + 3 - 3*u - 17*u**4 + u**3 to the form n*u + m*u**3 + t*u**4 + p*u**2 + k and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888436?\nAnswer: 2, 222109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -14*m + 9*m + 6, -8 = -5*j - m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-1750)*25)\/(9*2\/8)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*72.3036.\nAnswer: 3.61518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 135, 270, 403, 534?\n\"Answer: -o**2 + 138*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*w = -13 + 35, -4*a = -w - 99. Let j(i) = -4*i**3 + 5*i + 100. Let h be j(0). What is the greatest common factor of h and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-44)*-30 - (-350)\/(-750)*15.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lssslrlsjjjs. Give prob of sequence lls.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 625\/3 - 209. Which is the third smallest value? (a) 1\/4 (b) 0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(76)\/sqrt(4)).\nAnswer: -5*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1484 - -1312. Suppose -3*f + 8*f = -2235. Let g = b - f. What is the highest common factor of 25 and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*19\/(-51) + 10 + -12 + 3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 - (-36 + (-54 - 7)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101000 - -1111?\nAnswer: 10110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 508, 1067, 1626?\n\"Answer: 559*a - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159651844.\nAnswer: 2, 11, 29, 125119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/16*-3 + 1*(2 + -1). Let r(i) be the third derivative of -1\/60*i**l + 0*i**3 - 7\/600*i**6 + 0*i - 3\/100*i**5 + 15*i**2 + 0. Factor r(s).\nAnswer: -s*(s + 1)*(7*s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rps when three letters picked without replacement from zmzrrpsrrrzm?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 4744*m**7\/7 - 1700*m**3\/3 - 4877. Find the third derivative of r(p) wrt p.\nAnswer: 569280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5413598*m**3 + 42*m**2 - 21*m - 315 wrt m.\nAnswer: -32481588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3773 + -33997\/9. Find the common denominator of w and 17\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/54 and 70\/2677671.\nAnswer: 5355342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 0*m. Let y be 2\/(-4)*(m + -10). Let w be 14 + (-1 - (0 + -2)). Solve -3*v = -0*v - l - 11, -w = -y*v + 5*l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-220)\/30 + 10)\/(208\/24)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40485, -1, -2 in decreasing order.\nAnswer: -1, -2, -40485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118712 by -8.\nAnswer: -14839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/14 + 3 + -2. Let g be (4\/5)\/(-2)*5\/3. Which is the nearest to g? (a) 0.1 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 + 783*y**3 - 61155*y**2 + 1141413*y + 11262258 = 0. What is y?\nAnswer: -7, 42, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**4\/3 - 62*v**3\/3 - 85*v**2. Let o be w(-16). Solve -h - h = 5*s + 25, 3*h + 27 = -o*s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1098*k + 2528. What is the ten thousands digit of a(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178 * 0.2\nAnswer: 35.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + 110011100100010101?\nAnswer: 110011100100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 17 - l**2 + 17 - 53.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.47 in 4, -0.6, 2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4))\/((-287)\/(-98)). Let t = 213\/287 + x. Factor -4\/7*j**3 - 2\/7*j**4 + 2\/7*j**5 + 2\/7*j + t*j**2 - 2\/7.\nAnswer: 2*(j - 1)**3*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 196945 or 199718?\nAnswer: 196945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24734 and -1.\nAnswer: 24733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 3*q + 5, 6*q - 2*q = -t + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65575?\nAnswer: 5, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2985093 divided by -1.\nAnswer: 2985093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264 and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 12:36 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**3\/7 - 45*g**2\/7 + 114*g\/7 - 72\/7 = 0.\nAnswer: 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a tonne in kilograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*p**4 - 28*p**4 + 2 + p + 0*p**3 - p**3 - 1 to b*p**2 + s*p**4 + x + t*p + a*p**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*h. Suppose -3*s + 34 + 38 = h. Suppose 6*t - 3*t = -5*a + s, -3*a = -2*t - 3. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -2\/27, -318 in ascending order.\nAnswer: -318, -0.6, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25, -45, -65?\n\"Answer: -20*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 186645 and 2880.\nAnswer: 35835840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 61*n**4\/24 + n**3\/3 + n**2\/2 + 8. Let z(o) be the second derivative of i(o). What is the units digit of z(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123214 is divided by 61594.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 13) to base 4\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3298\/102 + -34 + (12\/(-10) - -3).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(153)*-6*-5)\/sqrt(9) + (3*sqrt(17) + -5 - sqrt(85)\/sqrt(5)*-2))**2*5.\nAnswer: -104250 + 1750*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1364?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvueeoeoevevevueuu. What is prob of sequence vv?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4893407 - 2446700 + 9*n - 2446707.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47576 (base 10) to base 11.\nAnswer: 32821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10416071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 8:55 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 2*t**2 + 1. Let w be s(2). Let p(a) = -a + 1 - w. List the prime factors of p(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14016 * -0.963\nAnswer: 13497.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 9:14 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88170 is divided by 569?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - -10 - (-86 + 105 - (2 + 3)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127 divided by -4522782.\nAnswer: -127\/4522782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -2*f**3\/7 + f**2 + 12*f\/7 + 2. Find y, given that w(y) = 0.\nAnswer: -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 183*p**2 - 174*p + 2622. What is z(-184)?\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -41676 to the nearest one thousand.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3111*k - 6727. Determine l(2).\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14886 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/61779 and 2\/79.\nAnswer: 4880541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/25)\/(8\/(-88))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 102300 and 102275 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 991768247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**3 - 80*p - 79*p - 77*p - 84*p + 2*p**4 + 8 + 312*p as n + d*p + b*p**4 + c*p**3 + r*p**2 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 250335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -297, -475, -685, -933, -1225, -1567?\nAnswer: -1965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + (-20 - 23) + 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*sqrt(176).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.178943836 to three dps.\nAnswer: 5.179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3058111 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 4*u + 80. Which is bigger: u or 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -80 + 80 + 22*r as d + k*r and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 42200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**4\/4 + 5*a**3\/3 + 5*a**2\/2 + 4*a - 2. Let k be l(-4). Let r = 2 - 3. Is k at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -b - 0*b + 16, 32 = -4*i + 5*b. Sort 1, -2, 3, i in increasing order.\nAnswer: i, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -13. Suppose r*j = 2*j. Let f be 6\/(-4)*(-2)\/(-4). Which is smaller: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/45 and ((-3)\/3)\/3*(-249)\/(-33).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1292.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -214*g**4 - 2409 + 8304*g**4 - 389 - 2382 wrt g?\nAnswer: 32360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6591 and 0.01?\nAnswer: 65.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 10) to base 11\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46197\/218 or -211?\nAnswer: -46197\/218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(275) - -2*(sqrt(275) + sqrt(275)*-1)) + (sqrt(11) - (3 + 0 + sqrt(11))**2)*-5.\nAnswer: 99 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518*s + 4529 = -26385 - 3792 for s.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 2*o - 18024. Suppose -2*p - 2*p = -o. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/6 and -97\/2278.\nAnswer: 6834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2 + 2)*(3 + v - 3) + 2*v**2 - 2*v + 2*v + 3*v**2 - 4*v**2 - 2*v**2 + 0*v**2 + 0*v**2 + v**2 + (2*v - 3 + 3)*(-1 - 2*v + 1) - 4*v**2 - 10 + 10.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 + 53*w + 60*w - 110*w + 8 as x*w**3 + j*w + z + r*w**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c**2 + 2*c**2 - c**2)*(-5*c - 2*c - 8*c)*(2*c - 5*c + c) in the form a*c**3 + o + u*c**4 + z*c**2 + k*c and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 63616*b + 445210. Determine r(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 32521258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -45 - 5. Suppose 0 = -2*y + 4*i - 7*i - 25, 5*y - 2*i + 53 = 0. Let m = y + g. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2828 < -2829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8\/21 (b) 0.13 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 + 4*c + 1. Let b be r(-3). Suppose 0*q + 105 = -3*q. Is (-10)\/q + 61\/b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 69*m**2 - 15 - 518*m**2 + 6.\nAnswer: -587*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/90938 and -61\/902?\nAnswer: 1000318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2363134 and 45550?\nAnswer: 1822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66965826*x - 63513462 with respect to x.\nAnswer: 66965826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 740656 to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14676 is divided by 1054.\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 10:34 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 2. Let k = -1 + p. Let f = -1 + k. What is the closest to 1 in f, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -y**3 + 5 + 3*y - 3 + 0*y**3 + 0*y**3. What is the derivative of m(q) wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -7*p + 5*p + 40, 2*p - 28 = 3*z. Solve -4*b - 3*i = 3, 5*i = 5*b - p - 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47814 (base 9) to base 2\nAnswer: 111110100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/7))**(-9\/2)\/((s\/(s*s**5))\/(s\/(s\/(s**(1\/5)\/s*s)*s)))*(s**(2\/15)\/s**6)\/(s**(-2)*s\/(s\/s**4)) assuming s is positive.\nAnswer: s**(-104\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-9) - (1 - 1). Let r be -10 - (4 - (-2916)\/(-207)) - 129\/690. Let t = -0.4 - -0.3. Which is the closest to t? (a) n (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-156)\/(-10))\/6 - (-2)\/5. Factor -2*r**2 + 2*r**2 + 20*r**3 - 8*r - 18*r**q.\nAnswer: 2*r*(r - 2)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(1*sqrt(76) - sqrt(76)) - (sqrt(76) + (-1*sqrt(76) + sqrt(76))*-5))\/(sqrt(144)*2 - sqrt(144) - sqrt(4) - (sqrt(4) - sqrt(64)*-2)).\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3401157?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (93 - 54) + -21.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(432))\/(2*sqrt(100)))**2.\nAnswer: 27\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-103 + 25 - -72) + -10.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 e, and 1 r when three letters picked without replacement from {r: 1, b: 1, e: 1, w: 3, v: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2042\/11, -1\/7, 5, -87, -4 in descending order.\nAnswer: 2042\/11, 5, -1\/7, -4, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/170 and -20\/119.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96 + 105. Suppose 116*l - 5350 = 66*l. What is the remainder when l is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12 - 23) + 34)\/((-9)\/1).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -716*c. Let g(t) be the first derivative of -9*t**2\/2 + 4565. Determine u(g(l)).\nAnswer: 6444*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1880 and -109\/1316.\nAnswer: 13160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**4 - 17*q**4 - q + 3*q**4 - 52*q**3 + 50*q**3 + 2*q as y*q**2 + a*q**4 + p*q**3 + v*q + x and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 + -1.1. Let a = -9.8 + l. Let h = a - -10.5. Sort -2\/13, -3\/5, 1, h.\nAnswer: -3\/5, -2\/13, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 0 - (-10)\/2. Let t(m) = -3 + m + 4*m + 2*m - 8*m - 1 + m**2. What are the prime factors of t(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3371 - 72.9429. Round c to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4726 = -3*d - 53067, -5*p - d = -241769. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 2\/13, 5\/3, 2, 6\/7, -1.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: e7 (base 15) to base 9\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7452 * 25880.\nAnswer: -45165.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-17 + 16)\/(3\/2677). Let a = b - -884. Calculate the common denominator of a and ((-2)\/(-16))\/(5\/(-268)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 at least as big as 1\/119716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 136?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f. Let d(s) = 2381*s. What is z(d(b))?\nAnswer: -2381*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + c. Suppose v + 1 = 4. Let r(d) = d**v - 5*d**3 + 2*d + d - 1. Let s = -129 + 132. What is s*t(k) - r(k)?\nAnswer: k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 3\/8, -5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - (-6957)\/2)*-6. Is (-4)\/22 + j\/(-33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 1 - (-5 - -2). Let f = 1.9 - 1.1. Let w = f + 0.2. Put b, w, -0.4 in decreasing order.\nAnswer: b, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (525\/50 + -11)\/((-1)\/(-10)). Put o, -6, -8, 5 in decreasing order.\nAnswer: 5, o, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 3*t + 6. Let d be g(-5). Let s be 5\/(-20) + (-17)\/d. Find the second derivative of -6*h**4 + 2*h**4 - h + 3*h**s wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*(p\/p**3)\/p)\/p*p*p**(-6))\/(p**(-3\/4)\/(p\/(p\/(p\/(p*p\/p**(-2\/9))*p)))) assuming p is positive.\nAnswer: p**(-233\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5031262 (base 7) to base 9.\nAnswer: 1107417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q - 8*q - 7*q)*(7 - 7 + 4*q**2)*(12*q - 6*q - 3*q) to the form r*q**2 + m*q**3 + n*q**4 + x + w*q and give n.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(260\/90))\/12\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -j + 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 9*o - 10. Let r be v(7). Suppose r*t - 7 = -3. Let j be 47\/(t + 0 - 2). What is j rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.3 (b) -3\/2 (c) -10\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1)*a)**(29\/5)\/(a\/a**4)**21)**29 assuming a is positive.\nAnswer: a**(9976\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(10\/6) + 4. Let s = b - -4. Solve -s = 5*q, -2*q - 2 = 5*c - 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14399?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-3))\/((-3)\/(-9)). Let s = d + 2. Suppose r + 3*l + 6 = s, -3*r - 2*l + 3*l + 12 = 0. Let p(q) = -q**3 + 4*q**2 + q - 4. Determine p(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, 1, -1, -6, -3, 0 in increasing order.\nAnswer: -9, -6, -3, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**5\/10 + 2*o**4\/3 + 4*o**3\/3 + o**2. Factor w(b).\nAnswer: 2*(b + 2)*(3*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 6a659?\nAnswer: 6a654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - y - 7. Suppose 5*v - 37 = -6*i + 3*i, 0 = -5*i + 3*v + 5. What is the remainder when a(i) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -15. Solve t*x = 4*x + 4*m - 11, x - 3*m = -17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 310, 313, 316?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 + 9*n**2 - 6. Let k(c) = 11*c**3 - 19*c**2 - 6*c + 13. Let t(h) = -2*h**3 + 2*h. Let p(j) = k(j) + 3*t(j). Determine 9*l(v) + 4*p(v).\nAnswer: 2*v**3 + 5*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**3 + 3525*f**2 + 14136*f + 14148 = 0.\nAnswer: -2, 1179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -7*k**2\/2 - 13*k + 23. Let p(n) = 13*n + 24. Let z(d) = -6*p(d) - 11*q(d). Let i be 1 - 2 - (-4 - 0). Determine z(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.3 and -1883?\nAnswer: 30692.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 816165, 816164, 816163, 816162, 816161, 816160?\nAnswer: 816159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/306 and 50\/39843.\nAnswer: 1354662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (18\/5)\/((-15)\/10) and -21\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**3 + 81*b**2 + 83*b + 33. Give p(28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 23. Determine n(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) - (sqrt(1539) + sqrt(1539) + 0)*4.\nAnswer: -63*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*x = 11, -3*w + 5*w - x = -7. Let v = 9\/34 - -91\/170. Which is the nearest to 0.6? (a) v (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10187 and -59752057.\nAnswer: -59741870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 377 - 62. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 + -15. Let j = 89 + i. Let t be -1 + 0 + (5 - 1). Solve -t*m - 6*p + 8 = -p, j*p = 4*m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 15 = -0*d. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 251159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (4 - (-884)\/(-147)). Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d**5 - 2*d**2 + 0*d**2 - 9*d**2 + 3 - 11*d**2 + 5*d**3 wrt d?\nAnswer: 240*d**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwow when four letters picked without replacement from qwowq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 3. Let z(q) = q + 2. Let y(a) = 6*d(a) - 4*z(a). What is y(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 2*a**2 + 3. Let g(o) = o. Give g(f(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 6*u**2 + 5*u + 3. Let y(o) = -o**2 - 2*o + 3. Let p be y(2). Calculate the remainder when t(p) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 286 - 5bc1?\nAnswer: -5938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2969420*g**2*o**3 + 4*g**2 - g*o**3 - 213264*g*o**2 + 132*o wrt g?\nAnswer: -5938840*o**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -385315?\nAnswer: 385317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1031 is divided by 254.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 3*i - 1. Let u be v(-4). Let m(x) = -u - 2*x + 0*x - 3*x. Is m(-5) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 206*g - 4123. Is f(69) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3*w - 33 = -19, 8*r + 17*w + 126 = 0 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -8. Suppose 3*r + 3*b = -15, 7 = -c*r + 5*b + 23. Let n = 5 - r. Calculate the greatest common factor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*c + 47404 = 0, 0 = -2*q - 0*c - 5*c - 94808. Let f = 68180 - q. Let w = f + -163584. Round w to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p + 4. Let g be h(-3). Suppose w + 92 = 3*n, g = 3*w - 8*w. Suppose 0*m = -5*m + 10, 3*m = 5*i - n. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 35 = 5*p, -4*p + 0 - 13 = 5*w. Solve -5*r - p = 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8109 + 0.859. Let j = -90 + 89.949. Let i = j + r. What is i rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103842 (base 10) to base 3\nAnswer: -12021110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**7\/420 - 13*o**6\/90 - 13*o**4\/3 + 8*o**3 - 2*o + 98. Let q(f) be the third derivative of i(f). Differentiate q(d) wrt d.\nAnswer: 6*d**2 - 104*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(1 - 0) - 8. Let t(r) = 14*r + 10637 - 10617 - 12*r. Let z be t(m). Solve 2*l + z*l + 16 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11700?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-515)\/(-7416))\/((-9)\/(-26)) and 43\/9.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + ((sqrt(1539) - (sqrt(1539) - 1*(sqrt(1539) + -2)))*-2)**2).\nAnswer: -24696 + 576*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4))**(-16\/5)\/(j**(2\/7))**(3\/29))**(-33) assuming j is positive.\nAnswer: j**(-25806\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q + 10. Let o be m(-6). Let r be ((-34)\/(-17))\/((-1)\/o). Let u = 12 - r. Let f(v) = -v**3 - 4*v**2 + 4. Give f(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001830969 rounded to 7 dps?\nAnswer: 0.0001831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31 + 4?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1597237796*b*t**3 - 2*b - 174935425*t wrt t.\nAnswer: -9583426776*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 5*x + 4*v, -3*x - 210*v + 205*v = -49 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 divided by 3?\nAnswer: 77\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -14. What is the greatest common divisor of y and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*y. Suppose y = 3*u - 8*u - 65. Let l = 36 + u. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -646 divided by -38\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 5. Let p(b) = -3*b**2 - 3*b + 4. Let r = -146 - -278. Let a(u) = -133*u - u**2 + 0 + 1 + r*u + 1. Calculate t*a(d) + 2*p(d).\nAnswer: -d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcc when three letters picked without replacement from ccccjcmjmccvccvcmccz.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 6) + 8 - (26 + -5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1115 smaller than -1123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbhjdbodbjhhbrh. What is prob of sequence rhb?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - 3\/12*4. What is the units digit of (-313)\/f - 16\/(-56)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300178016.\nAnswer: 2, 1327, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 210967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3363*u + 379*u + 5368*u + 2970*u + 5323*u to x + n*u and give n.\nAnswer: 17403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**3\/6 + 3*x**2\/2 - x. Let g be u(0). Let i be (g + -5)\/((-2)\/16). What is the highest common divisor of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100101111001 (base 2) to base 16.\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/20 and -97\/6886?\nAnswer: 68860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -x - 39. Suppose -5*a = -0*a + 5, a = x*b - 64. Let c = 41 - 20. Is c at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10955.\nAnswer: 5, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 12234 = 3*c + 3*s - 12217, 0 = c - 5*s - 27 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -106\/9 (b) -0.4 (c) 30 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11.6 (b) 1\/63 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) - -5*2*sqrt(720))*-6)\/(4*(sqrt(90) - (-1*sqrt(90) - sqrt(90)))\/sqrt(10)*-4))**2.\nAnswer: 605\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2622*a - 5289*a + 2658*a.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4050)\/1080)\/((-50)\/16).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 0. Let b(l) = 1 + 5*l + 5*l - 5. Is b(j) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**1)**17\/(j**4*j\/j**4*j))\/((j*j**(1\/2))**(4\/15)\/(j**1*(j\/j**(-2\/5))\/j*j)) assuming j is positive.\nAnswer: j**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 672 = 918. Let j = i - 71. Suppose 232*s - 34 = 231*s - 15. What is the highest common factor of s and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19488 and 278922.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5060 and 2200?\nAnswer: 50600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 8:45 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.37205 to 1 decimal place.\nAnswer: 13.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 22152434333?\nAnswer: -22152434324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4*t = -44, 263*t - 144 = -32*x + 264*t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 31 = 25*t, 0 = -3*f + 5*t - 65 + 76 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkuukkk. Give prob of sequence kuk.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012011122210 + -11?\nAnswer: -2012011122221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 38 - 34, -2*c = -5*i - 83. Let q(s) = s - 2. Let w be q(3). Sort -3, i, -4, w.\nAnswer: i, -4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1222*x**2 + x + 1 - 1142*x**2 + 579*x**2 - 1074*x**2.\nAnswer: -2859*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtqqqqcqciigtjiiqc. Give prob of picking 1 j and 1 q.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.655 - -20.255. What is the closest to -1\/4 in s, 2\/9, 77?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602 > 3917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmeok. Give prob of picking 1 e and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (-6 + 3)) + -3 + (-24 - 23) + 56\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 213.8731 - -0.4269. Let y = 214 - v. Which is the biggest value? (a) y (b) -27 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 68 - 8. Suppose 2*g + 2*l = -3*l - 5, -2*g + 10 = 2*l. What is the remainder when t is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170*j**4*k**2 + j**3*k**3 + j**2*k**3 - 3*j**2 + 175*j wrt j?\nAnswer: -4080*j*k**2 + 6*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10, u: 3, k: 2, p: 3}. Give prob of picking 1 k and 1 u.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 676*b - 26170 + 482 for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 - (-9 + -2 + -1 + 18 + 5).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z. Let a(f) = f + 31. What is a(b(d))?\nAnswer: -3*d + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 9*j = 24. Suppose 0 = y - 3*y + j. Is y less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3910435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 28. Let o be r(-19). Let a = 3 + -9. Let j be 4*(o\/a - (-273)\/12). Calculate the highest common factor of 34 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25466?\nAnswer: 2, 7, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92677091.\nAnswer: 13, 47, 151681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.32, 0, 785, 2, 0.02?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**25*a**(1\/18) assuming a is positive.\nAnswer: a**(469\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) -863 (b) -2 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-4)\/(-8))\/(2 - 0).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 - (-1908 + 1927).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*520\/390)\/((9\/3)\/(-66))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 65. Let r = 57 + h. Suppose 0 = 3*d - r*d + 17541. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -339 - -215. Let x be ((-93)\/l)\/((-3)\/(-16)). Solve -x*y + 7*y = 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from {g: 10, z: 1, a: 1, o: 3, n: 2}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(114) - (sqrt(114) - sqrt(114)*2)) + sqrt(114)))\/(sqrt(42)\/sqrt(112)).\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*((-2)\/(-4))\/(8\/(-16)). Suppose 0 = -5*a - 2*h + 38, h + 41 = -16*a + 21*a. What is the highest common factor of b and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22212111 - -10110?\nAnswer: 22222221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23.05 - -23.35. Let t = -352 - -367.7. Let l = 1.3 + t. What is the closest to l in 2\/13, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31033 is divided by 7512?\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1452.92703 - 1453. Let s = q + 0.23296. Let x = s + -0.16. Round x to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1451208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.5, 0.06, -6, 39 in descending order.\nAnswer: 39, 4, 0.06, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + i**2 + 0*i**2 - 2*i + 7*i**2 + 2*i + 0*i**2 + 2*i**2 - 4*i**2 + (-2*i + 0 + 0)*(-2*i + 0*i + 4*i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*w + 29*w + 4*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51879 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -14*w. Let q(b) = -8069*b**2 + 10. Calculate a(q(u)).\nAnswer: 112966*u**2 - 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 30, -15, -1\/8, 1\/10, -2\/15, 35?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/18*9\/6*4\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + v - v + (-9*v + 2*v + v)*(-7 + 13 + 7).\nAnswer: -77*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 158\/((6\/2)\/6). Let q = a - 216. What is the least common multiple of 1 and q?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2\/3 - 17*o\/3 + 28 = 0.\nAnswer: -21, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 56*z + 303 = 66*z. Let 6\/5*n**5 + 36\/5*n**2 - 28\/5*n**z - 26\/5*n**4 + 22\/5*n - 2 = 0. What is n?\nAnswer: -1, 1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3605439691?\nAnswer: 7, 515062813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 373*w**2 - 3*w - 757*w**2 - 3 + 375*w**2 to i + d*w**2 + r*w and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*m + 584, 5*m - 4*m = -3*k + 870. Let f = 249 - k. Are f and -39 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2068093497 to the nearest integer?\nAnswer: 45476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408 = -3*a - 393. Solve a*n - 9*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -425197 and -223.3?\nAnswer: 424973.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -199\/2*s**2 + 89\/3*s**3 + 45*s + 0. Differentiate q(w) with respect to w.\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18 + 0*w**3 - 19*w**4 - 11 + 0*w**3 wrt w.\nAnswer: -76*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*l - 3, -5*l = -y + 15. What is the highest common factor of y and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**3*g*m + 950*d**2*g**2 - 2*d*g**2*m + 3*d*g**2 + 22*g*m wrt d.\nAnswer: -12*d*g*m + 1900*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from {z: 1, h: 1, x: 1, y: 2, k: 1, b: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -5, 2 in descending order.\nAnswer: 7, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.9 (b) 0 (c) -123 (d) 0.4 (e) -0.3 (f) 4\/5 (g) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27053635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 107507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -5. Let k be 0 + (60\/3 - r). Calculate the greatest common divisor of 60 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -514\/63 + 76\/9. Which is the closest to -0.1? (a) 1 (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k. Let f(y) be the third derivative of -2873*y**4\/12 - 263*y**2 - 5. Calculate f(c(m)).\nAnswer: 5746*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4\/9))**(5\/12)\/(k*k**(1\/9)*k*k*k*k*k**10*k))**(-2) assuming k is positive.\nAnswer: k**(880\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from hmjwt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvooovmvvomo. Give prob of picking 1 m and 2 o.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 416458*l**2 - 88010 wrt l.\nAnswer: 832916*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21151*-0.8529.\nAnswer: -18039.6879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 2*m = -16. Put m, -2, 8 in decreasing order.\nAnswer: 8, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 686.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -57, 2\/13, 5, -0.9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 36, 3, 185 in descending order.\nAnswer: 185, 36, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*d**3 + 403*d + 3935.\nAnswer: -18*d**2 + 403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -28*y**3 + 99\/2*y**2 + 15\/4*y**4 - 37 + 54*y. Factor i(h).\nAnswer: 3*(h - 3)**2*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 5*b + 25 + 3, 4*g - 36*g = -5*b - 224 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1625, 3250, 4877, 6506, 8137, 9770, 11405?\nAnswer: 13042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**25*w*w*w**(-1\/6))\/(w\/w**(2\/27)*w)**(-2\/43) assuming w is positive.\nAnswer: w**(-48941\/2322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.8 - -7.97. Let z = -0.169843 + q. What is z rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*c + 726 = 52*c. Let b(l) = 21*l**2 + 2*l - 1. Let w be b(1). Suppose -w = k - 2*k. Calculate the greatest common divisor of k and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9072 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.03 + 0.03. Let l = -177 + 177.5. Which is the closest to 0? (a) -0.11 (b) l (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, -0.6, 1\/13, -0.1, 0.1369, -0.3?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 2 (c) 0.4 (d) 1 (e) -0.44 (f) -0.16 (g) -6.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + x + 24 = 0, 24*u - 43*u + 5*x = -22 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbxxfdy. Give prob of picking 1 x and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101 - 86. Suppose 3*t - 4*t + 5*n = -25, -b = -3*t + 3*n. What is the nearest to t in -3\/4, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 507*w**4\/2 - 7917*w**3 - 133461*w**2\/2 + 2552640*w + 2611200 = 0.\nAnswer: -17, -1, 320\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b**2 + 25*b - 8. Let l(o) = -12*o**2 - 50*o + 14. Give -3*l(q) - 5*n(q).\nAnswer: q**2 + 25*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(285)*-1)\/sqrt(5))\/(3*sqrt(147)).\nAnswer: -sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -27. Suppose c*a - 8*a + 15 = 0. Solve 1 = -a*n + 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 74*o. Let y be -5 + (30\/3 - -1). Let v(z) = 3*z + y*z + z**2 - 9*z. Calculate v(w(h)).\nAnswer: 5476*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -5, 1\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 930*v - 929*v + u = -5, 3*v + 17 = -5*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -16 - (-14 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 6. Suppose 1 = f - o. Let q(v) = -v**2 - 7*v - 2. What is the lowest common multiple of q(-3) and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -0.1. Suppose 0 = -3*q - 5*l + 221, 3*q - 4*q - 5*l = -87. Let m = 537\/8 - q. Which is the nearest to 1\/3? (a) m (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5478?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220670, 882694, 1986064, 3530780, 5516842, 7944250?\nAnswer: 10813004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 + 428. What are the prime factors of h?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 3:07 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 18. Let j be 3\/(-5) - y\/20. Which is bigger: j or -3\/22?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-9)\/3) - -2. Suppose -d*p = -2*r - 2*r, 35 = 5*r + 5*p. Suppose r*t + 0*t = 0. Solve t = m + 1 + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 49, -2, 4, 0.6, 16?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, o: 9}. What is prob of picking 3 o?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5572 divided by 1393.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 280 + -178. Let k = -7 + 5. Is ((-14)\/6)\/(k\/n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17 - 0*(0 + 1). Let a = n - 6. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1443 - -1445. Which is the nearest to -1? (a) s (b) 2\/47 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-14)*14\/(-30). Let g(d) = d**3 + 3*d**2 - 2*d + 3. Let k be g(-3). Let u be 6\/k*2\/(-4). Which is the second biggest value? (a) u (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 523506 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3601 at most as big as 3601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 2093*t**6\/120 - 761*t**3\/6 - 129*t**2 - 3. What is the derivative of c(a) wrt a?\nAnswer: 6279*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45333473 (base 8) in base 5?\nAnswer: -10002434041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -221*c - 659*c - 315*c - 11*c - 7344 + 3*c**2 + 0*c**2 = 0. Calculate c.\nAnswer: -6, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55*c**3*q**2 - 27*c**3*q - 6*c*q + 91742*q**2 wrt c.\nAnswer: 330*c*q**2 - 162*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1920 is divided by 1658?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2300 - -2731. Calculate the remainder when b is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144 - 144 - 125*g.\nAnswer: -125*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/5)\/(((-108)\/(-211635))\/(-12)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11185236, -22370475, -33555714?\n\"Answer: -11185239*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 2:14 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from szszszz.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6984 (base 11) in base 8?\nAnswer: 21717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5624 and 314944.\nAnswer: 314944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 6*n - 5. Let c be w(-5). Suppose 4*x = -x + c. Let s be (-15)\/(-10) - x\/(-2). Let g(q) = q**2 - 4. Determine g(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -1b083?\nAnswer: 1b085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*v = -97*v + 3*x + 25, 3*v - 5*x = 27 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 78\/(-52) + (-1)\/(-4)*22. Let n be -6*(-2 + 5\/2). Put -1, n, c, 1 in decreasing order.\nAnswer: c, 1, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3301 and -3253777.01?\nAnswer: 3250476.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/27 and (25\/275)\/((-12)\/46)?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -400193*t**3 - 24811964*t**2 - 384585349*t + 1922 = 0.\nAnswer: -31, 2\/400193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (147 - 147 + 265*r**2)*(-2*r + 3*r + 7*r).\nAnswer: 2120*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-44)\/(-3) - 0)*3. Suppose 10*j - 6*j = -5*t + 28, 0 = -7*j - 2*t + 76. What is the highest common divisor of j and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 = 2*i - 142 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/7)\/((-163)\/1141).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2198 at least as big as -2202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 10. Let w(g) be the second derivative of g**3 + 51*g**2\/2 - 2*g. Let v(a) = 11*b(a) - 2*w(a). Give v(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxxtrtxxx. What is prob of sequence rrt?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -3. Let i = m + -10. Suppose 2*u + 8 - 2 = -i*h, 0 = 2*u + 3*h + 11. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1580 - 1844 = -33*p. Solve 129*g + 3 = n + 128*g, 2*n - g = p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 + 241. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678161137 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -9, 4, 233, -0.5 in descending order.\nAnswer: 233, 4, 2\/3, -0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.36 + -0.04. Suppose -16*y = -39*y. Let g be 4 - y - (1 + 12 + -3). Put 1, a, 3\/5, g in decreasing order.\nAnswer: 1, 3\/5, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -614992, -614990, -614988, -614986?\nAnswer: -614984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4882 - -9078. Suppose -5*g - 3*r = -10494, 2*g - 4*g = 2*r - n. Let q = g + -323. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*2.6122.\nAnswer: -101.8758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 68930*g**4 - 96541?\nAnswer: 275720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 12 = 6*q - 7*q, 3*q - 3 = i. Solve 0*h - 5*h + 4*r = -19, q = -4*h + r + 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 233 and 0.043?\nAnswer: 10.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210 and 12113898?\nAnswer: 423986430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n - 3. Let x(r) = -56 - 4*r**2 + r + 56. Let k(y) = y**2 - y - 1. Let a(t) = n*x(t) + k(t). Find the first derivative of a(u) wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(5) + -5) + ((sqrt(405) + sqrt(5))**2 + sqrt(5))*4 - -2*(-1*(sqrt(5) + 1) + 4).\nAnswer: -sqrt(5) + 2021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -223\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -95, -13 in descending order.\nAnswer: 3, 0, -13, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (44\/(-297))\/(4\/18). Let f be (-3 + -2)*4\/10. Sort 3, 0.1, f, r in decreasing order.\nAnswer: 3, 0.1, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -679, 36, 6.87?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20049 and 0.6.\nAnswer: 12029.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -6*f**5\/7 + 366*f**4\/7 + 2334*f**3\/7 + 5154*f**2\/7 + 4800*f\/7 + 1608\/7 = 0.\nAnswer: -2, -1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1048487297 to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3888 = 1140*y - 1131*y. Calculate the remainder when y is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2815 - 1144. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 10. Suppose 5*n = 4*n. Solve -w*c + n*c = 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/110 and -17\/7557?\nAnswer: 75570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -27280554 divided by -4?\nAnswer: 13640277\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2 - m**3 - 33 + 2*m**3 - m + 94 - 32 - 31. Let f = -13 - -18. Suppose f*g + 6 = -9. What is c(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23220031 (base 4) to base 2\nAnswer: 1011101000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - k = 2*k + 17, 13 = -n - 5*k. Suppose 10*v - n = 8. Let o be (-5 - 20\/(-8))\/(v\/(-2)). Solve -o*s + s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 272 + -258. Let m(o) be the first derivative of -f - 3\/2*o**2 + 3\/4*o**4 + 0*o + 0*o**3. Factor m(h).\nAnswer: 3*h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96278 by 13.\nAnswer: 7406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, g: 4, k: 3}. Give prob of sequence kpk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4144 (b) -0.4 (c) 0.1 (d) -1\/7 (e) 5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43 - -14231204?\nAnswer: 14231111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 216 - 214.76. Let t = 0.2 - 0. Let g = t - o. What is g rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**5\/30 + 5*s**4\/24 - 5*s**3\/6 + 22*s**2 - 1. Let v(x) = -x**2 + 2*x - 2. Let m = 3 + -6. Calculate m*j(o) + 7*v(o).\nAnswer: -o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30102*w - 21785*w + 14943*w - 21476*w.\nAnswer: -58420*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/4)\/(-4)*18. Let h be (-96)\/j + 2\/(-3). Let d(z) = -z**2 - 5*z - 3. Determine d(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -7.4 (b) 2 (c) 0 (d) 1\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 21 + 7. Let n be (-7)\/(-2)*16\/p. Let -4*v**4 - 6*v**3 + 2*v + 6*v**3 + 4*v**2 - n*v**5 = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, -289, -3, 55, -1.\nAnswer: -289, -3, -1, 5, 8, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*((sqrt(1100) + 1)*3 + sqrt(1100)))**2.\nAnswer: 160*sqrt(11) + 17604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19839, 39856, 59857, 79836, 99787, 119704?\nAnswer: 139581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 - 2*u**2 - 4*u - 3. Let b be y(-2). Suppose -n + b = -76. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7497, -7502, -7507, -7512, -7517, -7522?\nAnswer: -7527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 275, 403, 515, 605, 667, 695, 683?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45455752481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*n**3 - 1 + (0*n**2 + 5*n**2 - 3*n**2)*(n - n - 2*n) - 6*n**3 + n**3 + 3*n**3 + 0*n**3 + 5*n**3 - 7*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1920543443?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 1. Let x(t) = -12*t - 15. Let d(k) = 15*l(k) - x(k). Let u(j) = -2*j - 2. Let p be u(-2). Let w(v) = 5 - p*v - 5. Give w(d(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 3*z - 39. Let t = z - 587\/13. What is the nearest to 2 in -0.3, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 768 and 320?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6*o. Let m(z) = 108532262*z**2. Give m(v(d)).\nAnswer: 3907161432*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90683233.\nAnswer: 1237, 73309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -20*w - 129 - 127 + 252. List the prime factors of i(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 3 = -9*s. Calculate the remainder when s is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2728 (b) 1\/23 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 181527374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 0*d + 10\/9*d**3 - 2 + 2\/15*d**5 - 1\/180*d**6 + 2*d**2 - 7\/12*d**4. Find f, given that z(f) = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 16*i**2 + 2*i - 11. Determine j(-16).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((285\/(-190))\/((-9)\/(-4)))\/((-7)\/231)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*d + 258*d - 363*d.\nAnswer: 281*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -662406, -662407, -662408, -662409, -662410?\n\"Answer: -j - 662405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - 2) + 13 + (-1 - 0)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -37. Which is bigger: y or 10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a kilogram in grams?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1756978 - 11) + 9 + -20. What is z rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*w**3 - 168156*w**2 + 41472*w = 0. What is w?\nAnswer: -1152, 0, 18\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543*d - 560*d + 1450 = -1714*d + 553*d for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4 = l - 16, 12 = 4*n. Let w be (6\/(-4))\/(19\/38). Let f be w*8\/(-96) - 31\/(-4). Solve 3*o = 2*z + 5*o - f, -4*z = 5*o - l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 330d0f?\nAnswer: 330d0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -732 divided by 6.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 9. Let v be s(-12). Which is the nearest to 0? (a) -2\/9 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 337 + -306. Calculate the remainder when 59\/2*(3 - 1) is divided by w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1824 = -4*l + 1108, 0 = -2*h - l + 2929. Suppose 8*u - h = 3272. Is u a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2 + 1 - 7*a + 2. Suppose -4*j - 47 = 1. Let q be (-4)\/3 - j\/36. What is u(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 225*v**4 + 28*v**3 - 3133 wrt v.\nAnswer: 900*v**3 + 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16, 17, 18, 19, 20?\n\"Answer: o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 23*y - 215. Calculate n(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 8*i + 108. What is q(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**4 + 12432*a**3 - 766818*a**2 + 11343768*a + 12123015 = 0. What is a?\nAnswer: -4205, -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -293 + 314. Suppose p*l - 2181 = -501. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543*j**3 - 117 + 540*j**3 + 117 - 23248*j.\nAnswer: -3*j**3 - 23248*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -1124*f**3 + 2*f**2. Let s be p(-2). Round s to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*c = 5, -3*c = 4*w - 2*c - 8. Put w, -2, 0 in descending order.\nAnswer: w, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 6*j**5 + 3*j + (217*j**4 + 691*j - 691*j)*(4*j + j - 2*j + (2 + 3 - 4)*(-2*j + j + 0*j)).\nAnswer: 440*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1504 and 118071144?\nAnswer: 472284576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + z + 4*z = -14, 4*z = 24. Let j(t) be the second derivative of t**4\/6 - 2*t**3 + t**2 + t. What is the hundreds digit of j(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58758656?\nAnswer: 2, 11, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4 + 1016220*c**3 - 172124294352*c**2 + 9719571729477188*c - 204035108916036174.\nAnswer: -2*(c - 169363)**3*(c - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -240*w**4 - 212*w**2 - 2*w wrt w.\nAnswer: -5760*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1\/4)*w)\/w**(1\/4))\/(w\/w**(-1)*w*w**2*w*w))**(2\/11) assuming w is positive.\nAnswer: w**(-13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 943198152 divided by -84759?\nAnswer: -11128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/452298 and -139\/21894.\nAnswer: 18544218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 1:54 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2, -259, 0.067 in increasing order.\nAnswer: -259, -2, -1\/2, 0.067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -2684.\nAnswer: -1\/671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 2268*z - 2 - 2831*z.\nAnswer: -5099*z + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 32 = -2*v, -4*v + 13881120 - 13881072 = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*d + 15, 0 = 5*v + d - 1343603. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 2*g**4\/3 - 5*g. Let z(r) = r**2. Give u(z(m)).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 3*s - 4, -3*s - 196*n + 199*n - 24 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -298, -2366, -8014, -19036, -37226, -64378?\nAnswer: -102286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z + 12 = 3*r - 30*z, -16 = -6*r - 4*z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 13*w**2 - 379*w + 32. Give t(27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58800151 at most 58800151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, l: 2, b: 8, p: 2, k: 2}. What is prob of sequence ly?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 2*m**2 + 4*m**2 - 4*m**2. Let f(z) = 2*z**2. Calculate f(v(o)).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f. Let c(b) = 1816*b**2 - 33. Let n(m) = 454*m**2 - 9. Let d(t) = -6*c(t) + 22*n(t). Give s(d(z)).\nAnswer: -1816*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8110*p**5 + 25*p**2 + 5042566*p.\nAnswer: 162200*p**3 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wswsswswwwwswwwswww. What is prob of sequence wwss?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggg. Give prob of sequence ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 87 = 3*a - 673, -3*a - 2*d = -571. Let o be 13\/(-11) - -1 - (-139536)\/a. Let l = o + 333. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkz when three letters picked without replacement from gggngggkgkkkszskgg?\nAnswer: 5\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 13833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3033111 + 22102?\nAnswer: -3011004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 0.26 (c) 0.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 i when three letters picked without replacement from {i: 1, f: 3, g: 5, v: 6, p: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 - 26*r + 33 + 2 + 84.\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90288774*p**4 - 886*p - 35864.\nAnswer: 1083465288*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*n = 32, -5*n = -3*f + 3 + 13. Suppose -w = w - 5*c - 44, -4*w - 5*c = -88. Calculate the remainder when w is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 - 1. Let h(d) = 11*d**2 - 12*d + 6. Calculate h(p) + 5*z(p).\nAnswer: p**2 - 12*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*d - 4*p - 670, d - 339 = 4*p. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-19 + (-4 - -1)). Suppose g = -g + z. What is the greatest common factor of g and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -60969 * -0.15\nAnswer: 9145.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2226461693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h**4 - 16*h**3 - 4*h**2 + 16*h - 10. Let i(z) = -2*z**4 - 5*z**3 - z**2 + 5*z - 3. Let f(a) = -20*i(a) + 6*v(a). Let f(l) = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = -6. Let w = 2 - b. Let s = -6 + 10. Solve -2*z + s*r - 5 = -w*z, -5*z + 25 = -3*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8056 and 42474253.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -496366\/27 + 18386. Find the common denominator of w and -149\/612.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1844831099?\nAnswer: 229, 541, 14891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830 = 101*b + 5*b - 654 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c - 13. Suppose 1 = x + 10. Let u be m(x). Let t(f) = f**2 - 4*f. Let z be t(5). Solve 3*o - u = v + 3*v, z*v + o = -5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 862, 1522, 3286, 6706, 12334, 20722, 32422?\n\"Answer: 92*v**3 + 16*v + 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 31 + 6)*(-2*d - 2*d + 3*d)*(-7*d**4 + d**4 + 13*d**4).\nAnswer: -252*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1198)\/440 + -4 + 136\/32. Let r = 36\/11 + g. Determine i, given that -144\/5 - r*i**2 + 48\/5*i = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19\/18 + -4999\/4770. Which is smaller: -2\/7 or u?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3752362 by -4.\nAnswer: 1876181\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 + 5 + -1 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3, 4, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 4*l)*(-39 - 27 + 76) + 0*l + 2*l + 6*l as i*l + y and give i.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 47 and 45480.\nAnswer: 45527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1 = -3. Let g = -3 + 3. Put u, g, -4 in decreasing order.\nAnswer: g, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134489062*-2\nAnswer: 268978124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 18*h**2 - 111*h - 223. Give x(-2).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 1\/4*j**4 + 2 - 6*j + 0*j**3 + 0*j**2. Let s(y) = -y**3 - y. Let m be s(0). Determine w(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*k**2 + 21*k.\nAnswer: -3*k*(5*k - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3395 by -7.\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/20314 and -31\/40.\nAnswer: 406280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 0*y**3 + 5*y**3 - 2*y**3 - 2*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a second in microseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -362*c**2*g*r*s**3 - 188*c**2*r**2*s + c*g*r**2*s**2 + c*r**2*s**2 - 319*g*s**2 + 8*r**2*s**3 + 3*s**2 wrt c.\nAnswer: -724*g*r*s**3 - 376*r**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3 + 744*z**2 - 3682*z + 4404 = 0. Calculate z.\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9088, -9077, -9058, -9031?\nAnswer: -8996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 1841?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -3, 17\/2, -1511?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -5*s - 0*h + 2*h, s = -3*h - 14. Let i be ((-36)\/10)\/(s\/40). What is the remainder when (-2 - -1) + (i - 0) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 10. Let l = t - -5.2. Let k = -12 + 7. Which is the second biggest value? (a) l (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/80772 and 76\/20193?\nAnswer: 80772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*i = i - 183, 4*s + 4*i = 372. Find the common denominator of 131\/6 and s\/33 + (2 - 0).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 819075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 577 = 3*r - 50. Suppose 53 = 13*w + 1. Suppose m - 3*c = 29, w*m + m + c = r. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/217714 and -65\/653142?\nAnswer: 653142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001200002 (base 3) to base 14.\nAnswer: 788c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/8)*u\/(u\/(u*u*u**(-1))))\/(u*u**(1\/17)*(u\/(u\/(u\/(u*u**(4\/5)))))\/u) assuming u is positive.\nAnswer: u**(929\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -10. What is the remainder when 2 - t - 0 - -25 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(((-2)\/(16\/6)*-1)\/(318\/(-848)))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 < 140\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17.1692 and -1451782.\nAnswer: -1451799.1692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430\/(-429)*((-18)\/(-21))\/((-12)\/231)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 19499*o**3 - 1 + 12*o**2 - 1 + 6.\nAnswer: -19499*o**3 + 12*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 + 13*c**2 - 1 - 1 - 2*c. Let r be a(2). Is r\/1 - (-3)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.31.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/17 - 961338*r\/17.\nAnswer: 2*r*(r - 480669)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 14*s + 33. Let b be h(10). Let p(a) = a**3 + 8*a**2 + 7*a - 12. What is p(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3*u**4 + 2*d**3 - 155*d*u**4 + 12*d*u**2 + 4*u**3 + u**2 - 5*u wrt u?\nAnswer: 48*d**3*u - 3720*d*u + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l - 8 = 0. Suppose 120 = -l*b + 3*b. What is the common denominator of -27\/14 and 268\/b + (-1)\/4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22265526 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 10*v**2 + v. Calculate i(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h = 0. Suppose -3*c + h*l - 10 = 4*l, -5*c = 4*l + 6. Let o be c\/(-2) + 2 + -1. Solve 2*x - 4 = o, 1 + 3 = n + 2*x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-18))\/((-7)\/21)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 divided by 1830.\nAnswer: 26\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 23*f**2 - 18*f + 10. Let x be w(-17). Suppose -4*n = -x + 1563. What is n rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - 21. Let y = w + 60. Calculate the remainder when y is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 88*k**2 - 5*k + 49. Let m be y(-14). Let u = m - 6170. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -61*w + 548. Let v be o(9). Let g be 3\/(-2)*6\/9. Let u(p) = -3. Let f(a) = -a + 1. Determine g*f(z) + v*u(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 2.58.\nAnswer: -0.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 377\/3239 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-644))\/((-501)\/12). Which is greater: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43427, 87448, 131469, 175490, 219511, 263532?\nAnswer: 307553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43189102 a multiple of 5080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*z + 5 = 0. Let h be (1 + -5 - z) + 4\/(-3). Which is the nearest to h? (a) 2\/5 (b) 2\/21 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*u - 16 = -17, 0 = -2*t + 5*u - 11. Let x(l) = l**3 - 2*l**2 - 4*l - 1. Let q be x(4). Suppose 0 = 2*k + k - q. Sort 3, k, t in ascending order.\nAnswer: t, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23794378 and 1516.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*d + 5376. Suppose -d + 164 = -4*f. Suppose 2*o = 3*a - 173, 0*o - 3*o + f = 3*a. What are the prime factors of a?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 335065916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.8, -23\/4, 16?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3778631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -8 - 6*q**2 - q**3 - 3 - 2*q + 12. Let f = -4 - -2. What is k(f)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, o: 1, u: 1, z: 1, d: 1, b: 2}. Give prob of picking 1 o and 3 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6701, 13399, 20097, 26795, 33493, 40191?\n\"Answer: 6698*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n = 12. Suppose n*x + 0*x = 15. Solve -3*a = -x*k - 4*a + 24, 19 = 4*k + a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -551220*p**4 + 399*p**2 - 229*p.\nAnswer: -13229280*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9 + (-60)\/(-12) + 0 + 10. Solve -5 = t*q - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -15. Let f be (w + (-15)\/3)\/(-26). What is the second biggest value in f, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1320 - 505 = 130*x - 1525 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -71b312 (base 12) to base 10\nAnswer: -1782014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2002 (base 3) to base 13.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 407 and 1073?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45129 and 441.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 3*z**2 + 2*z - 6. Suppose 16 = 4*w - w - 4*j, 3*w = 3*j + 12. Suppose w = 5*h - 5 - 15. What is the remainder when d(h) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 4) to base 10.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/55 + ((-744)\/66 - -11)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 306\/714 - (-540)\/(-84)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27\/(-33) + (-2)\/11. Let z(t) = -2*t - 1. Let f be z(m). Let p be 96\/56 - 2\/(-7). Sort p, f, -1 in descending order.\nAnswer: p, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 47.1. Let i = 13 + q. Let v = -0.1014 - i. What is v rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/(-42)*-1)\/(8\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -170?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31121 is divided by 266.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d + 5 = 0. Let b(h) = 14*h**3 + 3*h**3 - 1 + 29*h**3. Let q be b(1). What is the greatest common factor of q and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 4*x**2 + 4*x**2)*(-93 - 43*x + 93)*(5 - 4*x - 5).\nAnswer: 344*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57656174 - 57656174 - 172*j**3.\nAnswer: -172*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3631*a - 3637*a = -12. Let g(k) be the second derivative of -7\/6*k**4 + 1\/2*k**a + 0*k**3 + 0 - 12*k. Give g(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7451356 to the nearest integer?\nAnswer: 2730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.322 - -0.028. Let t = -0.25 + k. Which is the closest to 1? (a) t (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -461495*a**3 + 170*a**2 - 1182*a + 1?\nAnswer: -2768970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14181774 by 10.\nAnswer: -7090887\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5259777333.\nAnswer: 3, 23, 76228657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, l: 1, z: 3, v: 3, g: 2}. What is prob of sequence zgu?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.0471.\nAnswer: 0.1413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*m**2 - 20 - 106184*m + 106184*m)*(-2 - 4 + 2).\nAnswer: -308*m**2 + 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.27 - -0.02. Let l = -0.05 - -0.05. Let r = d + l. What is r rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1443*y - 1420*y - 184 = 0 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 60*s + 260. What is the nearest to 2 in -4, 2, -0.3, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/3, -18, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7553 + 5?\nAnswer: 7558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -118.\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**2 + 122*n - 27*n**2 - 150*n wrt n.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 + 77 + 11*o + 9*o - 21*o - 2*o**3 + 158*o**2 - 158*o**2 in the form b*o**4 + l + u*o**3 + m*o + a*o**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2596*g*q**4 + 7626*g*q**2 - 8252179*g with respect to q.\nAnswer: 10384*g*q**3 + 15252*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531 a factor of 14158657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/12*(95 - 54431\/553).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 26572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 57 = 4*x. Let c = x - 10. Is (3\/c)\/((-3)\/(-126)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/248 and 6\/403?\nAnswer: 3224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42001 (base 10) in base 3?\nAnswer: 2010121121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 >= 0.10728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 2:10 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -8*w - 2391. Suppose -w = 3*m - 5*b, -2*m - 789 = m + 3*b. What is m rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by (-2 + -1)\/3*-16*1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18151 less than or equal to 1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * -0.5.\nAnswer: -14.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4690, 8401, 12112?\nAnswer: 15823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/sqrt(45))\/(((sqrt(50) - -2*sqrt(50)) + sqrt(50))\/sqrt(10)).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-21) + (-4 - 1024\/(-252)). Is 1\/9 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1257 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2720 + 2732. Calculate the lowest common multiple of t and 840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: c96d9 (base 15) to base 13\nAnswer: 19507b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23456134 to the power of 1\/2, to the nearest integer?\nAnswer: 4843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**3 + 13*o - 1. Let p(d) = -2*d**3 + 6*d - 1. Give -4*c(u) + 9*p(u).\nAnswer: 2*u**3 + 2*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from poppiippoooip?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 10 + 0 + -1. Let t = 42 - m. Let n = 151 - t. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**3*r**3 + 512352764*g**3*r**2 + 12682948*g**3*r*z + 11*g**2*r**3*z wrt z?\nAnswer: 12682948*g**3*r + 11*g**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -7. Solve 2*b**3 - 8*b**3 + 2*b**w - 3*b**4 + b**2 + 6*b = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 + -1294.84377?\nAnswer: -1296.04377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*t**5 - 3*t + 10*t**5 + 13*t**5 + (-1 + 1 - 2*t**2)*(2*t + 2*t**3 - 2*t).\nAnswer: -11*t**5 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3865 - 1005. What is the greatest common divisor of 55 and u?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -v - x - 58, 0*v - 6*x = 3*v + 75 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -972\/5 - -194. What is the closest to -1 in 0, v, -48?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 41 = 3*h + 4*l, 0 = h + 5*l - 10. Let p be (-6)\/12 - (-482)\/4. What is the greatest common divisor of p and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3100 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*i + 11395, 4*v = -2*i - 1166 + 5700. What are the prime factors of i?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*h**2 + h**2 - 475*h + 29*h**2 to the form j + f*h**2 + y*h and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (822\/(-3) - -3). Let y be x\/(-18) - (-2)\/(-9). Is 24 a factor of (3 - (-27)\/y)*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + t - 11 = -2*t, 5*x + 4*t - 11 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2222404 (base 5) to base 3\nAnswer: -1222122022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in -213, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 2:13 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 220.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 9:11 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38053.89l in millilitres?\nAnswer: 38053890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (443*b**3 - 129*b**4 - 443*b**3)*(-3 + 2 - 2).\nAnswer: 387*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2*11\/(374\/85)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 6*k + 5. Let n be j(5). Put 1, n, -4 in decreasing order.\nAnswer: 1, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-44))\/(36\/48)*(-2)\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -14*t - 91. Let j be r(-6). Let s(f) = -29*f + 6. Is 11 a factor of s(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 246 + 207*f**2 - 161 + 952*f**3 + 533 - 207*f**2 wrt f?\nAnswer: 2856*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 - 4742347*t + 4742347*t.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -48371*q + 193498. Determine h(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w - 1174670 - 333532 = 0. Is -1*1\/(-1)*w\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774065369?\nAnswer: 7, 11, 17, 591341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 49378 (base 10) to base 2\nAnswer: 1100000011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.1 - 20.43387163.\nAnswer: -7.33387163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**4 + 401560*p**3 + 18*p**2 - 466*p + 292442.\nAnswer: -12*p**2 + 2409360*p + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**4 - 49*v + 2 + 856*v**2 - 1706*v**2 - 1 + 851*v**2 to the form g + o*v**4 + q*v**3 + t*v**2 + c*v and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 28. Let w be v(10). Let l = 19 + w. Suppose 5*a + 9 = 5*b - l, -b + 26 = 5*a. Let g(d) = 7*d. Let u(n) = 13*n. Calculate b*u(h) - 11*g(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*r - 130 - 109 = 49. Let m(w) be the third derivative of -w**4\/24 - w**3\/6 - 2*w**2. Let z(h) = -h**2 - 5*h - 5. What is r*z(j) + 15*m(j)?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 1:41 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 748500 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -3788, -23.\nAnswer: -3788, -23, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9 = 3*i, i - 2*r + 0 = 3. Suppose -5*a + 63 = 5*z - 67, -2*a + 82 = i*z. Suppose 2*j - z = -3*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, p: 5, j: 6, h: 2, n: 1}. What is prob of picking 3 p?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.71669 hours to seconds.\nAnswer: 175380.084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygyyygyygyygyyyyyyg. Give prob of picking 2 y.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 3*q**2 - 2*q + 2. Let f be o(-2). Solve -3*z - 17 = f*z - u, -2*u = -3*z - 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*k - 21*w + 289 = 0, 35 + 4 = -5*k + 2*k + 3*w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 2*h - 1, -3*l - 9*h + 5*h + 11 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 12 = 3*w + f, 12 = -4*f. Suppose 8*r - 5*r = -3, -4*r = -5*c + 14. Solve x - w*h = c*x, 5*x = -5*h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21414688 is divided by 75?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 5, q: 2, c: 6}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 39 = 9*x. Let p = x - -43. Let o(h) = h**2 + 3*h + 4. Calculate the remainder when o(-5) is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -2*f - 49 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 10:35 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(1 - -7) + 1. Let k(d) = d**2 - 9*d. Let r be k(n). Let s be (-2)\/8*r + 13. What is s rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 4*j**2 - 5*j + 3. Let p be y(-5). Let a = -6.3 + 8.3. What is the nearest to -1\/2 in 0, p, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*-501171\nAnswer: 25058.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y**3 + 4*y**3 - 2*y**3)*(43 - 717780*y + 34 + 717943*y) to the form s + k*y**3 + m*y**4 + u*y**2 + w*y and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 48895253 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 12:43 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 2*r**2 + 19*r + 77. Suppose 0 = 4*s - t - 1114, 146 + 122 = s + 5*t. Calculate the remainder when s is divided by u(0).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 3. Let q be z(2). Let x(w) = -4*w**3 + 2*w**2 + w. Let s be x(q). Factor -s*r**3 + r + 5*r**3 + 45*r**2 - 1 - r**3 - 44*r**2.\nAnswer: -(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -61. Let h = -21 - r. What is the second derivative of 869 - h*b**2 + 8*b - 869 wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 28. What is the third smallest value in o, -0.1, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1. Let u(q) = 9*q - 76. Let k be u(9). Suppose h + k = 2, -h = 5*n - 12. Solve a = -d - n - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*v**3*w**2 - 56*v**3 - 3*v*w + 3*w**2 wrt w.\nAnswer: 12*v**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0, -0.1369, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 56*k - 757. Calculate p(0).\nAnswer: -757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 minus -0.1?\nAnswer: -142.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -11675 = 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4930230886?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 4*a - 289. What are the prime factors of a?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -568334 divided by -170\nAnswer: 284167\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 3. Let v(q) = q + 33. Calculate -3*c(d) - v(d).\nAnswer: 2*d - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -10487*m + 9710961. Give d(926).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -38. Suppose 3*u - d*u = -2. Solve -2*r - 2*k - u - 5 = 0, -5*r + 9 = -k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 - 2*c**2 + 2. Let v be o(2). Let d = 11 - v. Suppose g + 3*f - 10 = 0, 0 = -5*f + 13 + 2. Calculate the highest common factor of g and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 518 - -56. Suppose 1748 = 3*u - 4*d, 5*u + 3*d - r = 4*u. What are the prime factors of u?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42.99027 - -0.38.\nAnswer: -42.61027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -494 or -45081\/91?\nAnswer: -45081\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 3:29 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-192)\/224)\/(4\/(-14)). Solve -y*m = -6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -3*s**5\/70 - 5*s**4\/42 + 2*s**3\/21 + 6*s. Determine j so that m(j) = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5 - -8)\/3)\/(-5)*-10. Is y less than or equal to 8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 287 + -152. Suppose 10*t - v = -5. Solve 2*k = -2*j - 3 + t, 0 = -4*j - 3*k + 19 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7459.\nAnswer: 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/6*(-1 - (-2)\/10). Does 9 divide (-3966)\/(-45) + v\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tgtztztggttgtztz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 11)\/(8\/24*-6). Solve u*o + 8 = -4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 0*l + 4*l - 7966 - l.\nAnswer: l - 7966","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 361*z - 133 wrt z.\nAnswer: 361","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1982515989 to the power of 1\/2, to the nearest integer?\nAnswer: 44525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 - 38025*r - 11481750.\nAnswer: -5*(r + 315)*(r + 7290)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 968000?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4 = 5*f, -11 = 4*c + f + 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 0 - 10. Let p be (84\/16)\/7 - -1. Solve -1\/2 + 7\/2*c**3 - 7\/4*c - p*c**5 - 1\/2*c**4 + c**f = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3 - 1 = 0. Let q be 18*(4 - (s - -4)). Let g = -7 + q. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -13 - -15 - (-1)\/(1\/45).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {w: 4, f: 1, p: 5, q: 3}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + j - 13, 4*j = -0*s + 5*s - 33. Suppose 0 = 2*l - 5*v - 13790, 2*v + 34537 = s*l + 5*v. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 w when three letters picked without replacement from {n: 2, i: 14, w: 1}.\nAnswer: 91\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -3 - (-1 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -4. Let q be 1 + (-2 - (-6 - g)). Suppose 2*x - q - 8 = 0. What is the smallest common multiple of 6 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 10.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 149275 not equal to 149283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 31 and -11688607612.\nAnswer: -11688607581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1126 + 2358. Does 22 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.94 + 2. Let v = -0.04 - j. Which is the closest to 0? (a) -0.7 (b) 1\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1019712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.1.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 30. Suppose 3*t + z = t + 12, -2*t + 4*z + s = 0. Let x = 1.5 + -1. Which is the biggest value? (a) t (b) x (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -21*c + 1. Let i(a) = 63*a - 2. Give 17*b(k) + 6*i(k).\nAnswer: 21*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**4 + 245*f**3 - 1640*f**2 = 0.\nAnswer: 0, 8, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45817526 to the power of 1\/2, to the nearest integer?\nAnswer: 6769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.8 + 11. Let m = 53\/4 + -55\/4. Which is bigger: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**2 - 7*g - 4. Let q(m) = -2*m + 2*m - 4*m + 3*m + 11. Let l be q(6). Give b(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 2. Let l(w) = 4 - 14 - 3 + 2*w + w. Let d be l(6). Suppose -n = -d*n - 24. Determine p(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2. Let r(u) = -108*u. Determine a(r(c)).\nAnswer: -23328*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**2\/2 - 4*g - 86. Let y be q(1). Which is the smallest value? (a) y (b) 0.06 (c) -0.3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*c + c = -1671, -2*z = 2*c - 1122. Suppose -2*s + 4*o = -466, -2*s = -3*o + 95 - z. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -12, 2\/3, 2\/5 in increasing order.\nAnswer: -12, -5, 2\/5, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 - 2.99. What is the closest to h in 3, -0.5, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -4. Suppose o*u + 2*u = 0. Suppose u = -3*x - 2*x + 5*q + 65, 0 = 2*x + 2*q - 18. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - 568*u**2 + 0*u + 4183*u**2.\nAnswer: 3615*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-10)*(-2)\/(16\/1780). Let i = 136 - j. Let a = 259 + i. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**3 - 250*k**2 + 3185*k - 7440 = 0?\nAnswer: 3, 16, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 6*r + 8 = 0, 64*i + 70 + 678 = -r - 1810 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + b4b6?\nAnswer: b4b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 282?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/8 and 62\/65611.\nAnswer: 524888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i - 1. Suppose y = 3*u + 22, -5*y + 2*u + 19 = -26. Let g = y + 1. Let x(t) = -6 + 5*t + 6*t + g. Calculate -7*r(w) - 3*x(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -13. Let q = -3 + 4. Sort -4, w, q in ascending order.\nAnswer: -4, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -46 (b) -1\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -4 + -4 + 9 + -2 - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/((-116)\/174*(-6)\/(-5))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1100121 (base 3) to base 2\nAnswer: -1111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + x**2 + x. Let s(r) = 125*r**2 - 229*r**2 - 2 + 5*r + 109*r**2. Give -5*q(f) + s(f).\nAnswer: -5*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*n = -14933 - 2427. Let g be ((-2)\/(-2))\/(2\/4). Suppose 5*z - g*j - n = z, -2*j = -3*z + 233. Calculate the greatest common factor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-324)\/(-36)*50\/(-1125)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(27\/81*-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**8\/80640 - k**7\/4032 + k**5\/10 + 12*k**2. Let j(m) be the third derivative of y(m). Factor j(s).\nAnswer: s*(s - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01117407 to 6 dps.\nAnswer: 0.011174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.13, 3\/8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8498)\/(-28) + -4)\/(1\/2). Suppose u = 5*r + 7*f - 5*f, 4*f - 365 = -3*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1517472 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29.6 + -20. Let n = 9.694 - m. Round n to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 7*h - 7. Let c be l(6). Let g(r) = -21*r - 18. Let f be g(c). Solve f*d - 2*n - 6 = 2*d, -n - 3 = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 0 - 1\/2*s**2 + 0*s**4 + 0*s**3 - 1\/15*s**5 + s. Let z(h) be the first derivative of q(h). Let v(p) = -3*p. What is z(v(n))?\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-204) + 70\/(-17). Let c be -1 + 0 - (-38 - t). Let s = 43 - c. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 12. Let o(d) = 2452*d - 28. Let w be o(p). What is w rounded to the nearest 1000?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 - -110101111100?\nAnswer: 110101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 74*d + 1. Let o(q) = 3*q**2 + 375*q - 335. Determine o(l) + 5*v(l).\nAnswer: -2*l**2 + 5*l - 330","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5896 divide 1392328608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-12))\/((15\/24)\/(-1))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + -18 - 6) + -57 + 58 + 5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + 236. Let r = p + -262.9144. Let f = 91.2856 - r. Round f to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/115024 and 57\/728?\nAnswer: 115024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 11 = -2*z, 4*z - 3 - 1 = -4*m. Suppose m*v + 5 = 4*v. Suppose -3*h + v*h = 16. Let c(a) = a**2 - 7*a - 10. Calculate c(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -4.6. Let q = 28 - 23. Which is the third biggest value? (a) h (b) 1\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + sqrt(1377) + sqrt(1377)*2)**2*5 + 1 + -5 + -2*sqrt(17).\nAnswer: -2*sqrt(17) + 110156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 8\/5 (c) 0.4 (d) 2 (e) -2112 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25b - -4?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11389 is divided by 1035.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -12*j**2 + 15*j - 6. Let l(f) = -5*f**2 - 4*f + 1. Give d(a) + 4*l(a).\nAnswer: -32*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.340154 decades to months.\nAnswer: 880.81848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/25, -37\/2, -2, -9\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -3, -i + 3*v - 56 = -49 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 15 - 17*q - 15.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -275*g**6\/24 - 19*g**5 + 61*g**4\/16 + 77*g**3\/6 - 5*g**2\/2 - 2*g + 37. Let r(m) = 0. Calculate m.\nAnswer: -1, -2\/11, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 11 = 5*z, -3*z + 12 = -h - 2*h. Suppose v - 7 = -5*w, -3*w + 22 = -5*v + 1. Put v, -2, 1, h in ascending order.\nAnswer: v, -2, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -363*(-28)\/(-1260) - 3\/(-45). Let f(x) be the first derivative of -x**4\/4 - 8*x**3\/3 - x**2 + 6*x + 1. Determine f(n).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 - 86. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 6:41 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, b: 2, q: 1, z: 1, i: 3}. Give prob of picking 2 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(15\/8)*v**(-3)*(v*v\/((v*v\/v**(-2\/7))\/v*v))**(1\/17))**10 assuming v is positive.\nAnswer: v**(-675\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 594 - 586. Suppose t + p = w, t + 12 + 10 = 5*p. Solve u + 7 = t*h, h - 9 = 5*u - 3*u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-12)*((-28)\/21)\/(4\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203 plus 5?\nAnswer: -1198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1949\/305? (a) -6\/11 (b) -2 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y + 2*y**2 - y**3 + 0*y + 0*y**2 + 5 + 5*y - 6*y. Let a be 15*((-5)\/(-35) - 10\/21). Let g(p) = p + 1. Give a*g(i) + b(i).\nAnswer: -i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252939641 and 11?\nAnswer: 2782336051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9\/1025 + -10312\/109675. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 4869.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 + d**2 - 3*d + 1. Let u(x) = 22*x**3 + 3*x**2 + 25*x + 17. Let o(k) = -7*s(k) - u(k). Calculate o(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/12 and -25\/11781.\nAnswer: 47124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrz when three letters picked without replacement from rxtztzxd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 7*t + 2 - 6.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*m + 50, -3*m + 5*l + 8 = -35. Suppose 5*r = -c + 15, 0 = 2*c - 4*r + 6*r - m. Solve 0 = -c*q - 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/5)\/((-4)\/10). Suppose 4*x - o*x + 8 = 0, 0 = -4*d - x + 76. Suppose 5*r + d = 50. Solve -r + 1 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -160*f**6\/3 + f**3\/3 + 513*f**2\/2 + 701. Find the second derivative of g(b) wrt b.\nAnswer: -6400*b**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(885\/(-1475))\/(12\/55)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 37 = -12*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3685665, 3685270, 3684875, 3684480?\nAnswer: 3684085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b559 + -513?\nAnswer: b046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 6 (b) 4 (c) -2\/164417\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -169\/490 + -1\/196. What is the common denominator of t and (-752)\/1320*6\/4?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 111*p**5\/20 - 135*p**2\/2 + 108*p + 103. Let i(x) be the first derivative of g(x). What is the derivative of i(h) wrt h?\nAnswer: 333*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*h - 1831 + 2*h**2 + 821 + 781 wrt h.\nAnswer: 4*h + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 227428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93299 divided by 72.\nAnswer: 93299\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 61\/4 of a microgram?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 65\/(-26)*(-24)\/30. Determine k, given that 0 + 4\/7*k**3 + 0*k**2 + 10\/7*k**5 - l*k**4 + 0*k = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 425\/1048 + -4\/131. Let m = 45 + -45.3. Let n = m + -0.2. Which is the closest to -1? (a) -2\/7 (b) n (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*m - 27. What is the smallest common multiple of 12 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21807 is divided by 7120.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-180)\/72*8\/50. Which is bigger: 3\/80 or h?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 11 + 3. Let s(h) = -13*h**2 + h - 235. Let m(g) = -24*g**2 + 2*g - 436. Let o(v) = 7*m(v) - 13*s(v). What is o(b)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 128.5 and -3191.\nAnswer: -410043.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -70141, -140342, -210543, -280744, -350945?\n\"Answer: -70201*a + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5 - 114*w**4 - 804*w**3 + 5922*w**2 + 6615*w = 0. What is w?\nAnswer: -21, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*y + 4119 - 8757 + 4414. Suppose x = 2*v - 0*x - 9, -5*x = -5*v + 35. Solve 6*p = v*p - 4, 3*o - y = p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 11.5. Let o = -0.5 - 48.5. Let r = -49 - o. Which is the closest to r? (a) 11 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 296, 294, 298, 314, 348, 406, 494, 618?\n\"Answer: s**3 - 3*s**2 + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.08 (b) 2 (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17913 is divided by 1990.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(-1*sqrt(4)) - (sqrt(2) + sqrt(22)\/sqrt(1100)) - (5 + sqrt(128))*-1.\nAnswer: 5 + 59*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20, -30, -44, -62?\n\"Answer: -2*q**2 - 4*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*i - 16*i - 19*i + 9*i to the form a + b*i and give b.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131805738?\nAnswer: 2, 3, 31, 78737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -170 - -197.3. Let u = -27.111 + z. What is u rounded to 2 dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(0 - -4)*2. Let f = s + -22. Suppose -7 = -f*j + j. Calculate the remainder when j is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 88, -66.327, -1, 4\/7?\nAnswer: -66.327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1680, 3, 0, 1 in decreasing order.\nAnswer: 1680, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 8*h - 4*h = -6, 2*h + 12 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7776 divided by -1944?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/3)\/(10\/(-45)). Suppose -2*d + 4 = 0, -2*p + 10 = i*d - d. Solve 5*t = -l - 29, -l = -p*t - 2*t - 21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 8:26 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*h + 1, -3*h - 10 = -2*y + 11. Suppose 4*z - 59 = -3*k, 2*z - y*k - 2*k = 49. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -3 (c) 0.4 (d) 0.08 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.14 - 2.86. Which is the closest to -1? (a) -2 (b) 1\/11 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -651, -1344, -2047, -2766, -3507?\nAnswer: -4276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 11*f**2 - 14*f - 8. Let c be m(-12). Suppose -3 = -19*p + c*p. What is the units digit of p*-44*(-4)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26110, 52219, 78328, 104437, 130546?\n\"Answer: 26109*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*f - 3*f**2 + 2*f**2 + 38*f + 78 - f**2.\nAnswer: -2*f**2 + 65*f + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2 + 2.9. Let x = 0.4 + g. Which is the smallest value? (a) -0.2 (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.52 - -2.82. What is the nearest to 2\/3 in g, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 3*h - 3. Let o be (-4)\/(-18) + 100\/(-531). Let v = -100\/531 - o. Which is greater: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 286632 (b) -1\/52 (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -73509, -73507, -73505, -73503, -73501, -73499?\n\"Answer: 2*n - 73511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (8 - 3)) + 5 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + 6\/(-4 - 2). Suppose -106 = -w*r - 101. Let p be 83\/33 - (-2)\/(-11). Is p >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 + 4*t**3 - 2*t**3)*(22 - 5 + 2)*(-t - t + t).\nAnswer: -38*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, p: 1, v: 11, t: 4, l: 1, h: 2}. What is prob of picking 1 q, 1 h, and 1 l?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 45, 2, 5, -13, -43, 1 in decreasing order.\nAnswer: 45, 5, 2, 1, -4, -13, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165395850?\nAnswer: 2, 3, 5, 31, 35569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 4*l**2 - 12*l + 11. Give y(-8).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 6. Let u = -49.949 + -0.051. Let w = -50 - u. Which is smaller: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29.8103 - -29.99. What is z rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 18 = 2*c, -3*v + 2*c = -2*v + 10. Let z(d) = d + 14. What is the units digit of z(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 696\/406 - 1431\/(-378).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50262.7 rounded to the nearest 100?\nAnswer: 50300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1822, 1818, 1814?\nAnswer: 1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41650, -41647, -41640, -41629?\nAnswer: -41614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -98 (b) 0.5 (c) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4231 is divided by 381.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l - 1. Let d be y(-2). Let a = 8 + -4. Solve -d - a = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k + 16. Let g(o) be the third derivative of o**4\/8 + 687*o**2. What is g(f(v))?\nAnswer: -6*v + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t. Let s be 18\/4*2\/3. Let n(v) = -v**2 - s + 3 + 0. Calculate n(u(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/4*6\/(-16))\/(4237\/372856).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2239*w. Let j(r) = -6*r - 1741. What is p(j(i))?\nAnswer: 13434*i + 3898099","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-7))\/((-44)\/77))\/(6\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 + 1016\/(-124))*(-16)\/48. Let y = 3.6 + -4. Which is the second smallest value? (a) -5 (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00728197232 rounded to 4 dps?\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 18*y**2 + 4*y + 3. Let k(r) be the first derivative of 12*r**3 + 7*r**2\/2 + 5*r - 530. What is 4*k(h) - 7*q(h)?\nAnswer: 18*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 404 - 245. Let p = 230 - u. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34.8 + 67. Let r = -32 + x. What is the closest to -2\/5 in r, 4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 10) in base 6?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 13 = -u, u + u - 2*a - 2 = 0. Let o be (-1013)\/84*-3*u. Let v = o - 145. Sort 13, -1\/3, v in ascending order.\nAnswer: -1\/3, v, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1229522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 9) + (56 - 52)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/(-12))\/((-29256)\/3392 + (-8)\/(-1)). Let x = 1 - 0. What is the second biggest value in 0.063, x, j, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 i when four letters picked without replacement from {l: 15, i: 5}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p - 5104 = -534*p + 6204 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 58. What is the closest to -2 in g, 1\/6, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 4*z - 16 = 0, -5*z = g - 3 - 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - 22. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*s - 27, -4*n = 4*s + n + 9. Suppose -s*q = -q. Suppose w - 19 - 6 = q. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2263691 + -5436309. What is g rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**1)\/k*k)**(-34)*(k*k**(1\/5)*k*k*k*k)**(8\/17))**(1\/21) assuming k is positive.\nAnswer: k**(208\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 351 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5\/6, 11, -0.5, 0.3, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 516355 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -l. Suppose 3*m - 540 = -l*m. Suppose 3*d - 36 = m. What is the greatest common divisor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -2*k - a, 3*k + 4 + 29 = 4*a. Let v be k*44\/(-12) - 0. Is 54 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.005 - -1.277. Let l = -1.272 + z. Let p = -3.2 + 20.2. What is the smallest value in p, -2\/17, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2513606 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqbqabpqbqbbqbbqiaa. Give prob of sequence pqb.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2267*z - 10. Let s be r(-3). Let b = s + -3165. Suppose b - 394 = 16*m. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -498192? (a) 4\/11 (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2859732, 5719489, 8579246, 11439003, 14298760?\n\"Answer: 2859757*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -406 - -2062\/5. Let -8\/5 - 14\/5*p**2 - r*p = 0. Calculate p.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 7*y**3 + (-1 + 2*y + 1)*(0*y**2 - y**2 - y**2) - y**3 + 2*y**3 + 0*y**3 - 31*y + 31*y + 19*y**3)*(-2*y + y + 2*y)*(1 - 1 - 1).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 + -82. Suppose 93 + 152 + 60*z + p*z**2 + 10*z = 0. What is z?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83763584 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*-12*(-42 - (-12191)\/292)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 263, 524, 785, 1046?\n\"Answer: 261*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4075042436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1558 and 328?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*p - 108*p**3 - 106*p + 110*p**3 - 100*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23\/3 - 8. Suppose -3*a + 6 = 3*y, y = 65*a - 68*a + 4. Put o, 0, a, -2 in ascending order.\nAnswer: -2, o, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*j = -179 + 17. Solve 0 = 6*v + j + 27 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1*6)\/(((-168)\/320)\/21). Sort 2\/5, p, 2\/7.\nAnswer: 2\/7, 2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/12 and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1010)\/(-40) - 3\/12. Suppose -j*w = -54*w + 24*w. Let l = 7 + -4. Solve 0 = 4*i - l*p - 2*p - 1, 5*i + 2*p - 26 = w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3679 - 3121. Is 93 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 941*o - 11143. What is b(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(132)\/sqrt(3) + 3 - (1 + -4*5*sqrt(176))**2).\nAnswer: -162*sqrt(11) + 70396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 121*c + 22. Let y(m) = -2*m + 38. Let t be y(18). Is 8 a factor of k(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x - 13 + 2*x + 11 + (-6 + 2*x + 6)*(-3 + 2 + 0))*(-2030*x**3 + 107402*x**2 - 107402*x**2).\nAnswer: 18270*x**4 + 4060*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252444460 is divided by 66?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 0.1, 0, -0.02?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 699, 694, 687, 678, 667?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -268376*x + 1125697 wrt x.\nAnswer: -268376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (16 - -4)) + 18\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -z + 10, 4*p + 2*z + 16 = 0. Let n = 17\/13 + -233\/39. Which is smaller: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nr when two letters picked without replacement from uubnngugur?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 16*t**2 + 34*t + 7. What is the lowest common multiple of 68 and q(-11)?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -144 + 145.24. Let p = l - 1.239885. What is p rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -28*w**5 + 1356*w**4\/5 - 344*w**3 - 304*w**2 + 288*w - 256\/5 = 0?\nAnswer: -1, 2\/7, 2\/5, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 97 + 191)*(2*v**2 + 0*v**2 - v**2).\nAnswer: 275*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -1. Suppose 0 = -w*k - 2*k + 5*j - 64740, j + 64752 = -5*k. Let y = 5850 + k. What is y rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4)*((-3 - -5) + -6). Let o(j) = -3*j + 2. Let q be o(-12). Suppose 2*v + 53 = -4*x + 5*x, 4*x = -2*v - q. Which is greater: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*l**3*y - 75*l**3 + 10*l**2*y - 2*l*y - y - 11891 wrt l.\nAnswer: 318*l*y - 450*l + 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 287137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -105.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 - 4719*h + 1 + 3128*h**4 + 1709*h - 1 wrt h?\nAnswer: 37536*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 3*x + 78, -41084*o - 4*x - 80 = -41072*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 296, 176, -18, -286?\n\"Answer: -37*l**2 - 9*l + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.56 + -1.44. What is the nearest to -1 in -2\/3, 0.5, 5, r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(-3*f - 16*f + f)*(-3*f**3 - 3*f**3 + 3*f**3).\nAnswer: -54*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -3 - 2\/(-2). Suppose -5*j + 4*t + 250 = 0, 5*j + 2*t = -a*j + 250. Let z = 26 + 99. What is the highest common factor of z and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9427.827 meters?\nAnswer: 9427827000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70098?\nAnswer: 2, 3, 7, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -3307?\nAnswer: 3307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*j**3 - 38548*j**2 + 4457056*j - 134832144.\nAnswer: 4*(j - 62)**2*(7*j - 8769)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -15. Let w(j) = 2*j + j + 4 - 2*j - j**3 - 2*j**p - 2. Calculate w(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 596182766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 886486.9 litres?\nAnswer: 886486900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 308 divided by -154\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 745225 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -20 + 17 + (11 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r - 8. Suppose y + r = 11. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mawpmwpy. Give prob of sequence mmy.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y = -18. Suppose y = -2*r + 5*r. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-450)\/8)\/3*(-2 + 6). Let n = k + 78. Let x(f) = 46*f + 4. What are the prime factors of x(n)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7714921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/60*5\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 4*w. Suppose 4*g = -b + 13, -b = -4*g + 18 + 1. What is the remainder when 28 is divided by m(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-13\/4)*w*w**(-5\/7)*w assuming w is positive.\nAnswer: w**(-55\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 59416.43ug?\nAnswer: 59.41643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -4 (c) 4\/3 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 3*d**2 + 3*d**2)*(-6 - 1 + 6*d**3 + 9) + 0*d**5 - d**5 - 2*d**5 + 3*d**4 - 3*d**4 - 2*d**5.\nAnswer: 13*d**5 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 + 113 = 11*k. Suppose -12*u + k = -3. Solve -20 = -5*b, -j = -4*j + u*b - 23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2 - (-78 + 102)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i - 1. Let g be b(8). Let u = -30 - g. Solve -6*j**2 + u*j**2 - 14*j + 20*j - 3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 87734*r + 1316025. Give b(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -151.4, -7, -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3064007551.\nAnswer: 11, 233, 1195477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1594\/5 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26859 or 559?\nAnswer: -26859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -183, -1\/3, -396, -1\/5, -1\/7, -1, 19?\nAnswer: -396","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -12*o - 22 - 57 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -308*o**2 + 57*o**2 + 9*o**2 - 7*o as r*o + k*o**2 + m and give k.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 248430 (base 10) in base 4?\nAnswer: 330221232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*n*o**2*s**2 - 27*n*o**2*s - n*o*s**3 - n*s**2 - 33*o**2*s**3 + 2*o*s**4 + o wrt s?\nAnswer: -6*n*o - 198*o**2 + 48*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i - 13. Let v be f(4). What is t in 0*t**3 - 3*t + v*t - 8*t**2 + 0*t + 4*t**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 - 12*i**2 + 11*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/15 - 21544*j**2\/15 - 21381944*j\/15 - 5083187648\/15.\nAnswer: 2*(j - 11704)*(j + 466)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 17365 (base 8) to base 3\nAnswer: 101212112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/25 of a hour?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 - 331*z**2 - 494*z - 328. Let o be n(-164). Determine i, given that o - 24\/17*i**2 + 0*i**3 + 32\/17*i + 2\/17*i**4 = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 275644821?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 16*g**2 - g + 20. Let a be r(16). Solve -a*d + d - 3 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 383 - 1313. What is y rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 8:16 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - s + 1. Let d(w) = w**3 + 6*w**2 - 6*w + 6. What is -d(v) + 6*p(v)?\nAnswer: -v**3 - 12*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*d + 13104, 205 = -d + 4*g + 4590. List the prime factors of d.\nAnswer: 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 + 127 - 68 - 59.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1000112122111 (base 3) to base 6\nAnswer: -15341451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -596, -1292, -2266, -3518, -5048, -6856?\nAnswer: -8942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10932756.\nAnswer: 2, 3, 911063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 5. Suppose -4*m - 9 = d. Which is the third smallest value? (a) 6\/11 (b) m (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13934853, 13934867, 13934907, 13934985, 13935113, 13935303, 13935567?\nAnswer: 13935917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24442098 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*x**3*z + 5*x**3 - 52*x**2*z**2 - 8669640*x*z**2 wrt x?\nAnswer: 210*x*z + 30*x - 104*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 1 - 2 - 1. Let z be (2 + (-14)\/2)\/i. Suppose -4*p - 1 = -d - 21, -z = -p - d. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n**5 - 4262*n**4 + 129604*n**3 - 1332356*n**2 + 4719798*n - 1429974 = 0 for n.\nAnswer: 1\/3, 9, 13, 679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -31. Suppose -8 + 47 = d*n - 5*q, n = 3*q + 15. Which is greater: n or 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-five quarters of a meter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*k**3 - 24*k**3 - 7*k**2 + 3*k**2 + (2*k**2 + 0*k + 0*k)*(1 - 1 + 3*k) to the form n*k**3 + s + r*k**2 + f*k and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -13*a**3\/3 - a**2\/2 - 2*a + 1252. Let h(u) = -6*u**2 - u - 1. Give -5*h(b) + 2*m(b).\nAnswer: 4*b**2 + 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6387257 is divided by 624?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - j. Let h(g) = -90*g**2 - g - 32. Let y(n) = 3*d(n) - h(n). What is the second derivative of y(p) wrt p?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 3*f - 157 + 165, -3*f - 3*l = 18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -85\/2*x**2 + 0*x**4 - 122 + 1\/5*x**5 - 1\/3*x**3 + 0*x. What is the third derivative of k(b) wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 6 = -2*g + 6, -h = 5*g - 52. Let k be (3\/2)\/(1\/g). List the prime factors of (3\/(-2))\/(k\/(-100)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 64 + -320?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156216 and 36.\nAnswer: 468648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*50.36752\nAnswer: 1.0073504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397 + 379 = -113*l + 1225 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 187689 + -276689. Round y to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 863679 + 330127 = 59*i. Calculate the remainder when i is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*r - 90*r + 3*r)*(4 + 0 - 3)*(-25 - 2 + 13).\nAnswer: 1876*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -306 - -305. Which is smaller: d or 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 24, 40, 56, 66, 64?\n\"Answer: -u**3 + 9*u**2 - 10*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 2140?\nAnswer: -2136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*m = -570, 4*m + 241 + 323 = 4*d. What is the highest common divisor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*z - 2423502 - 2066501, i + 2245003 = 3*z. What is i rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52315, -52290, -52267, -52246, -52227?\nAnswer: -52210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1693\/3 - -564. Let c = -0.204 - -0.104. What is the nearest to c in 0, 1\/6, -3, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((84\/45)\/7)\/(34\/(-340))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282 + 154 + 2*k**3 + 148.\nAnswer: 2*k**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 454*z**2 - 61*z - 126. What is the units digit of u(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 + 8911215*i + 4*i**3 - 8911215*i + 4*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.0851, -22, -1 in descending order.\nAnswer: -0.0851, -1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.03580739 + -0.03581039. Let m = -6 + l. What is m rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5505 - 4400. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 770694 to the power of 1\/2, to the nearest integer?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(((p**0\/p)\/p*p*p)\/p)*p*p\/(p*p**(2\/5))*p**(-2\/9)\/p**(-3)*((p*p\/p**(1\/6))\/p**(-1))**(-6\/19) assuming p is positive.\nAnswer: p**(3833\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 211\/22 - 19\/2. Let m = 0.2 - 0.3. Suppose 14 = -7*l + 7. Which is the nearest to m? (a) l (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86221, -86226, -86231, -86236, -86241?\nAnswer: -86246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4 - 9*b**3 - 13*b**2 + 9*b + 14 = 0. What is b?\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 10*s + 4. Let t be g(-10). Suppose 0 = -t*o + 6*u - 3*u + 1987, -5*o = -3*u - 2486. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -233602776 divided by -5309154.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 0 + 1\/8*f**4 + 1\/40*f**5 + 1\/84*f**7 - 6*f + 0*f**2 - 1\/20*f**6 - 1\/6*f**3. What is q in s(q) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6*r**2 - r + 4. Let d(h) = -5*h**2 + 8060 + 4*h**2 - 3*h**2 - h**2 - 8057. Calculate -3*d(n) + 2*w(n).\nAnswer: 3*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2826 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -77090, -77001, -76912?\n\"Answer: 89*j - 77179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.039, 1, -0.5, -2\/17, 2.44?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and -1 + 1 + (0 + 3 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 10. Let j be d(-3). Let k be (j\/2)\/((-7)\/(-56)). Calculate the highest common factor of 128 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -131*h + 124*h - 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u**2 + 614*u + 88 = 0. Calculate u.\nAnswer: -1\/7, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43147.0000050843 - 43147. What is y rounded to 7 dps?\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-3\/8)*u)\/u)\/u)**(-44\/7)\/(u\/((u**11*u)\/u)*u*u\/(u**(-13)*u)))**(-2\/13) assuming u is positive.\nAnswer: u**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(-2)\/(-5)*-6. Suppose 12 = -3*o - o, -2*j - 17 = 5*o. Find the common denominator of j + 189\/f - -1 and -9\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 28 = -2. Let x = 6 + m. Let v(f) = -f + 5. What is v(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/33405 and 119\/4716.\nAnswer: 400860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 7, y: 3}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6137 - 6202.66. Let b = q + 5.66. Sort 0.3, b, -4 in decreasing order.\nAnswer: 0.3, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 5:36 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(539) + 4 + -5 + (4 + sqrt(539) - sqrt(539) - sqrt(539)) + -2))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -2*z**2 - 5. Let h be (252\/(-15))\/(-3)*(-25)\/10. What is the tens digit of q(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 27*a. Let h(t) = 78*t. Give h(u(o)).\nAnswer: 2106*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffpfwbpfg. Give prob of sequence fwb.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**0*j*((j\/(j*j**7))\/j)\/j)\/((j\/(j\/((j*j*j\/j**2*j)\/j)))\/((j**(1\/4)*j)\/j)) assuming j is positive.\nAnswer: j**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-5) - 1075508951\/20. Let b = u - -53750003. Let v = b + 25438. Find the common denominator of 11\/6 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6282092302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(10\/3)\/v)\/v*v**(1\/19)*(v**(-8))**(1\/4) assuming v is positive.\nAnswer: v**(-35\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68827\/5 - -13718. Let c = 47 + r. Which is smaller: -0.3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 11, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10494 + -209817\/20. What is the common denominator of 121\/24 and k?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thooohtotw. Give prob of picking 1 o and 1 t.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.512506 to two decimal places.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**2 + 13804272*p + 23819740681248 = 0?\nAnswer: -3451068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t**2 + 6*t. Let q(v) = 4*v - 69. Let x(d) = d - 23. Let y(s) = q(s) - 3*x(s). Determine h(y(f)).\nAnswer: 6*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96897040?\nAnswer: 2, 5, 947, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.90189446 and 0.5?\nAnswer: 0.95094723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + o + 5, 4*o - 12 + 15 = -3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, q: 3}. Give prob of picking 2 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 12:54 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.6 + 1745?\nAnswer: 1672.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.8\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2736) + sqrt(2736) + 0 + sqrt(152)\/sqrt(8) + 0)**2 + (sqrt(171)*1*-1 + 0)**2.\nAnswer: 12048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 106228 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -182 divided by 3\nAnswer: -182\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*y - 175, -5*y + 2*y - 377 = 4*t. Let d = -645\/7 - t. Sort 2\/7, d, -0.3.\nAnswer: -0.3, d, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 2\/7 (c) 0.4 (d) -12 (e) -13.14 (f) 4 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 3*s - 9 = 0. Let u(d) = -d**3 + 6*d**2 - 2*d - 4. What is the remainder when u(s) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 131*p + 104*p + 593*p + 345*p to i*p + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 5*n - 133. Suppose -6*u - 2534 = -n*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*o - 20531 = 107*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q - 2*b + 54567 = -10*q, 0 = 5*q - 6*b - 90917. List the prime factors of q.\nAnswer: 13, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(55)\/sqrt(5) - sqrt(11))**2 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9038 a factor of 723410558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -0.3 (b) 3 (c) 0.064\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 4*t - 6*t. Let y = -98 + t. Is (-3678)\/(-22) - (-12)\/y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 5*s - 5, -s - 86*h = -83*h - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15756707 divided by -56.\nAnswer: 15756707\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by (-5 + 180\/28)\/(3\/21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2006*x - 14445 = 27935 + 31842 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -6155\/12 and -512 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7088496 divided by 147677?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 4)\/(1*-1). Let m be 0 - (0 - (2 - u)). Suppose -4*w + 18 = h, -m*h - 3*w + 2*w = -43. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, g: 1, t: 1}. Give prob of picking 1 g, 1 t, and 1 e.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26433249.\nAnswer: 3, 17, 518299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5659 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence voo when three letters picked without replacement from {w: 1, v: 1, o: 7}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7*3\/(-6)*2. Let c(j) = j**2 + 6*j + 1. Let x be c(v). Suppose -f + x + 9 = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - u**4 + (-191*u**4 + 455*u**4 + 534*u**4)*(-6 - 1 + 3) as q + s*u**4 + o*u**3 + m*u**2 + v*u and give s.\nAnswer: -3193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 10. Suppose -2*u = s - 3, -3*s - 7 + 8 = -r*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3046, -3037, -3028?\n\"Answer: 9*z - 3055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x**2 - 9*x**2 + 4*x + 9 - 2*x. What are the prime factors of h(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3283, -6575, -9867, -13159, -16451?\n\"Answer: -3292*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 711144 and 49385.\nAnswer: 3555720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**7\/70 - 7*p**6\/20 + 2*p**4\/3 - p**3 - 375*p**2. What is the second derivative of d(m) wrt m?\nAnswer: -36*m**2 - 252*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*y - 1605, 3*y + 3573 = -5*i - 4392. Round i to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 253 + -248.064. Let k = -0.064 - h. Suppose 0 = 5*y + 88 - 103. Which is the second smallest value? (a) k (b) 0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 527 and 46250013.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (4 - ((-1 - -5) + -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-26) + (-623)\/(-91). Suppose 2*l + 2*w - m = -l, -5*l = 2*w - 13. Solve 0 = -l*t - 16 + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 7421\nAnswer: -4\/7421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-3 - -3) - -4. Suppose -4 - 12 = q*y. Put y, 5, 4 in decreasing order.\nAnswer: 5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207897239 to the power of 1\/2, to the nearest integer?\nAnswer: 14419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a microgram in nanograms?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, b: 9}. What is prob of sequence oboo?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1649.9045 - -421123\nAnswer: 419473.0955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55844*-3.\nAnswer: 167532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -854\/9, -4, -10, 3, -62, 0.4, -0.3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 11*n + 4. What is h(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13444 rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -86*x + 92*x - 270. Let k = -47 - -15. Let r = x + k. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3*t**3 + 20*g**3*t**2 - 75*g**3 - 2*g*t**3 + t wrt t?\nAnswer: -12*g**3*t + 40*g**3 - 12*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/40267 and -69\/4.\nAnswer: 161068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.872252763 to three decimal places.\nAnswer: 1.872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 211 in 5, 53\/4, -2\/15?\nAnswer: 53\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/(p\/(p*p**(-1)))))\/p)**(-4\/17)\/(p**(6\/7)*p**(2\/33)))\/(((p*p*p**(2\/7)*p*p)\/p**(1\/5))\/(p**7*p**(1\/5))) assuming p is positive.\nAnswer: p**(2537\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 813, 5820, 19437, 45978, 89757, 155088, 246285, 367662?\nAnswer: 523533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + 3*(sqrt(27)\/sqrt(3) - sqrt(9)))\/((sqrt(3) - (sqrt(108) - sqrt(27))) + sqrt(3)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a + 163 - 30*a + 26*a - 18*a to the form y*a + w and give w.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1024 + 1052. Which is bigger: p or 6.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-20))\/(1\/10). Suppose 3*z + 31 - 10 = 0. Let d be ((-3)\/4)\/(z\/28). Put l, d, -1 in descending order.\nAnswer: d, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4000623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11253.654 milliseconds to days.\nAnswer: 0.000130250625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 2)*(-y + 0*y - y) + 15*y - 28*y + 18*y - 1 to the form z*y + b and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w + 2*r - 4 = 0, 3*w + 2*r = 19. Let n = 6 + -4. What is the third derivative of y - y - n*y**2 + 2*y**w wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 5. Let w be k(-8). Suppose -b - 5*p + 171 = 196, 0 = -b - 2*p - 7. Solve -5 = -3*d + 2*j - 6*j, -w = b*d - 4*j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66565639\/6710 - 109126\/11. What is the common denominator of s and 7\/40?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 13. Calculate p(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g + 2. Let s(d) = -53*d - 126. Let x be s(-20). Let u = 946 - x. What is the least common multiple of u and n(-2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + -0.4. Let j be -1 - 3 - -1 - (-1 + 2). What is the third smallest value in j, -5\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20012009747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 27*l**2 - 18*l - 200. Determine z(26).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 93 = -68 + 18 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 + (-60 - -53) - -10 - 35.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**4 + 15*s**3 - 545*s**2 - 15*s + 540 = 0. Calculate s.\nAnswer: -12, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**4 - 152*k**3 + 4*k**2 + 152*k = 0.\nAnswer: -38, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1044795959 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tfqqqqffqgtqqqftgq. What is prob of picking 2 g and 1 t?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2778 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in years?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**(4\/3)*(d**(5\/8))**(1\/63) assuming d is positive.\nAnswer: d**(5\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 21*s - 10. Let d(y) = 49*y - 22. Let k(v) = 4*d(v) - 9*p(v). Let c(o) = -25*o. Calculate k(c(g)).\nAnswer: -175*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(1 - 1 - z + 0 + 0 + z + (-z + 1 - 1)*(-5 + 1 + 2) + 0 - z + 0).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = 4*u, 5*a - u + 3*u - 3 = 0. Which is smaller: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 27. Let h be (143 - z)\/((-15)\/(-35900)). Round h to the nearest 10000.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 4, 10, 18, 28?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 10*w**2 - 75*w - 20. Let l(n) = -24*n**2 + 151*n + 46. Give -2*l(m) - 5*y(m).\nAnswer: -2*m**2 + 73*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-37)\/(-4) + (-1)\/4. Suppose 0 = -6*m + 3*m + d. Suppose -3*i - 11 + 45 = -4*u, -m*u + 69 = 3*i. Calculate the least common multiple of i and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68603760 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*u - 10424 - 8506 + 5106 = 0 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, i: 12}. What is prob of sequence irr?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 142224583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/55926 and 133\/216.\nAnswer: 671112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3\/2, 5356 in decreasing order.\nAnswer: 5356, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28011 or 18383?\nAnswer: 18383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = p, -y + 78 - 65 = p. Let m = -1 + 3. Solve -w = m*w - p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 581 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*n - 3 - 1)*(-2 + 0 - 3).\nAnswer: -10*n - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*b + 11 - 11)*(-7 + 2 + 3) - 713*b + 1299*b - 666*b to the form j + z*b and give z.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q**2\/7 - 4930827*q\/7 + 986166\/7 = 0 for q.\nAnswer: -328722, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (14 - 5 - 3 - 10) - -8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 978 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 20 = -4, -5*n - 5*c + 70 = 0. Suppose 52 = 3*q - 5. Calculate the remainder when 4\/n - (-1815)\/25 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-21)\/1*275604\/(-196)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*x + 212*x = -32. Suppose -f = -4*l + x*f + 13, 0 = -3*f + 9. Let u(r) = r**2 + 46. Calculate the remainder when u(0) is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = f + f. Suppose l + 2*l = -z + f, -z + 53 = 5*l. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 7. Which is the nearest to k? (a) 6 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75078239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57.092 and -5.\nAnswer: 285.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 121 and 20789175?\nAnswer: 228680925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3049 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1314050320 divided by -182710\nAnswer: -7192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66840 - 7874. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45.975 + -0.025. Let k = z + 46.1. Let r(c) = c**2 - 1. Let v be r(2). Put v, -2, k in descending order.\nAnswer: v, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 1. Let w(n) = 10*n - 2. Calculate -2*g(u) - w(u).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 - y**5 + 0*y**4 + y**2 - 4 + (2*y + y**2 - 2*y)*(-2*y**3 - 2*y**3 + 3*y**3).\nAnswer: -2*y**5 + y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*h = -102*h - 486. Calculate the lowest common multiple of 5 and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14074, 13787, 13522, 13291, 13106, 12979, 12922?\n\"Answer: 2*c**3 - c**2 - 298*c + 14371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -59. Let v be 8\/10*(-60)\/t. Suppose -36*u = -35*u - v. Solve 6*p - u*p + 12 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208996?\nAnswer: 2, 52249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -351*w + 51166. Calculate h(146).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 9:26 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2 = 6*g - 5*i, 4*i = -4*g - 8. What is the third biggest value in -69, g, -5?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 14*n - 12. Suppose 5*p = -2*x + 4*p + 277, n*x - 4*p = 292. Let v be (x\/8)\/(-7)*-2. Solve 0 = -v*d + 4*s + 13, -3 = -2*d + d + s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 980\/21 - (-2)\/(-3). Let k = 97 - 27. Let v = k - o. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1155\/(-275)*60\/(-42) - 10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.28 - -0.08. Suppose 2*c - 5 = -15. What is the third smallest value in -4\/7, n, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 times 0.3\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -79? (a) -38.5 (b) -5 (c) -154 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14914013903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n**2*o - 7*n**2*p - 209*n**2*v + 4*n*o + 2*n*v + 878*o*p + 2*o*v wrt n.\nAnswer: 6*o - 14*p - 418*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 26*s**3 - 3*s**2 - 3*s - 3. Let a(n) = -989*n**3 + 115*n**2 + 115*n + 115. Let o be (1150\/20)\/(5\/20*-2). Determine o*j(m) - 3*a(m).\nAnswer: -23*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4\/9, -86, -8, -4, 4 in descending order.\nAnswer: 4, 0.5, -4\/9, -4, -8, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43736 + -43736.045334. Let g = l - -0.0439. What is g rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1457 is divided by 484.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-21)*(231\/(-54))\/11\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(9) + sqrt(225)))\/(sqrt(5)*2*-4) + ((sqrt(18) - (-2*sqrt(108) - sqrt(108) - sqrt(108) - sqrt(108))\/sqrt(6)) + sqrt(18))*-6 + 1.\nAnswer: -6049*sqrt(2)\/48 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3)*(-1 - 2 + 5)*(83*n - 21*n - 25*n).\nAnswer: -222*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 16*g**2 + 11*g**2 + 5*g**2 - 9*g**2. Let x(n) = 2*n**2. Give x(j(h)).\nAnswer: 1058*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 4*m + 15. Suppose -13 = -m*d + b, -9 = d + 4*b + 4. Suppose -2 = -h - 0*h. Solve 0 = -q - d*q + 2*c + 6, -2*c - h = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 851*d - 3 + 210*d + (-3 - 3 + 7)*(d - 5*d + 2*d).\nAnswer: -643*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 207184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*s + 424 = 0, s = -3*y + 310 - 56. What is the remainder when 195 is divided by y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, b: 6}. What is prob of sequence aaab?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 2888*x**2 + 36956*x + 62392.\nAnswer: 4*(x + 2)*(x + 11)*(x + 709)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00052995 to six decimal places.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 6*f**2 - 36)*(-2*f**2 - 3*f**2 + 3*f**2) + f + 3*f**4 - f + (2*f + 2*f - 2*f)*(-2*f**3 + 5 - 5) + 3*f**4 - 3*f**3 + 3*f**3.\nAnswer: 14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 3*c + 3, -2*b + 5*c + 91 = 85 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(35)\/(-4*sqrt(30)\/sqrt(6)) + ((sqrt(1008)*2 + 4)**2 - (sqrt(1008) + -2)*-2).\nAnswer: 433*sqrt(7)\/2 + 4044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**8\/84 - o**6\/10 - 97*o**5\/60 - 5*o**2. What is the third derivative of j(l) wrt l?\nAnswer: -240*l**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -2*t - 12. Solve -t*n + 2*d - 1 = 3, -2*n + 8 = -4*d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/12*(-1)\/(-20)*4\/(-6)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -42 + 0*f**3 + 0*f + 39\/4*f**4 + 29\/2*f**2. Find the second derivative of k(t) wrt t.\nAnswer: 234*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 145369 and 1.8.\nAnswer: 261664.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -34*k. Let z(u) = -20640*u**2 - 12*u. Calculate g(z(f)).\nAnswer: 701760*f**2 + 408*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 divided by -222822?\nAnswer: -181\/222822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + n = 4*x - 2, 3*x + 3*n = -18. Let t(k) = 1. Let b(r) = 8*r - 20. Let m(h) = x*b(h) - 5*t(h). Is m(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -18. Suppose -w - 15 = 2*w, -3*c + 23790020 = -a*w. Round c to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -107 + 51 - 18*c**2 - 2*c + 50 in the form m*c**2 + i + f*c and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011000101 (base 2) to base 11.\nAnswer: -1336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15478767 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 74722*y - 44. Is f(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-735)\/25 + 5)\/(616\/(-20) - -31).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 121, 1, -601, -1925, -4211, -7699?\n\"Answer: -40*y**3 - y**2 + 163*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 0.4, 4, 2, -1\/3 in descending order.\nAnswer: 4, 2, 0.4, -0.01, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 - (30 + -31).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79452 + 21941. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7262 + 1722. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10258 is divided by 2557?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -958284\nAnswer: 383313.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 93*62\/(-1922)*(-16)\/(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2122 + -200?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -851\/492260 or 1?\nAnswer: -851\/492260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 4:41 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*u - 5129 + 2749 - 4240 = 0 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2994364805?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1 - -7) + (-277 - -33 - -211).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + f + f)*(47*f - 3*f**2 - 1 - 47*f) to the form p + n*f**2 + q*f + j*f**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 2:03 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 65? (a) 1\/2 (b) -89.394 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (28\/12*3)\/1. Solve -4*y - o = -19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = 4*w - 2*s, -292 = -2*w - 2*w + 3*s. Let n(k) = 4*k - 12. Let d be (2 - 5) + (-33)\/(-3). Calculate the remainder when w is divided by n(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-21) - (-23)\/(-7). Let h = 1 + -0.8. Let w = -0.0795 + -0.1205. What is the smallest value in 4, x, h, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2 + x**2 + 0*x**2 - 116*x + 120*x. Suppose -v = 4*v + 20. Is b(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 58 - 45 + 115 + 150)*(-7*z**4 + 37*z**4 + 15*z**4) in the form t*z + n*z**3 + a + y*z**4 + v*z**2 and give y.\nAnswer: 11250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22664.\nAnswer: 2, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85193168 or -2?\nAnswer: -85193168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 158375593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/((-12)\/24000009) + -3. What is v rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from rzpiiptww.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from ebxkbqx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9952 + 9956. Solve -g*h = -4*j - 14 + 6, -3*h - 3 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5012, -9894, -14776?\n\"Answer: -4882*f - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -26. Let w be (2 + -1)*(-1 - -2). Let d = w - o. Solve 4*f = -4*k - 4, 3*k = -4*f + d*k - 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 154 + 34. What is the common denominator of (i + 12\/(-4))*39\/(-72) and 1 - ((-4686)\/(-168))\/11?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 495 and 715.\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/576 and 56\/11.\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40404\/114660 + (256\/(-60) - -4)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/((-30)\/(-200)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 110 = -9*p. List the prime factors of p.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.1, 2, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61464.\nAnswer: 2, 3, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4213 + 5013?\nAnswer: 13230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160 + -155. Suppose 4*w = y*w - 2. Let k = -43 + 43.2. Which is the fourth biggest value? (a) k (b) w (c) -0.1 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 143*p - 137*p - 12. Let i be p*(-3)\/4 - 403\/62. Is 6 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432875.\nAnswer: 5, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 86808 (b) -0.2 (c) -2 (d) -4 (e) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 3*a - 43*a**2 - 3*a.\nAnswer: -43*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**3\/3 + 2*g**2 - 2*g + 2. Let d(f) = -3*f - 5. Determine -3*d(u) - 4*m(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 7*x + 1. Let v(p) = -2*p**2 - 14*p + 2. Let z(q) = 9*t(q) - 4*v(q). Calculate z(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o. Let z be q(-12). Suppose -3*y = -5*r - 10, 2*y + r + r = z. Solve y*n = -0*u - 5*u, 2*n - 15 = -5*u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2785*c**3 - 14*c**2 + 66029?\nAnswer: 8355*c**2 - 28*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 158058.\nAnswer: 4\/79029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m. Suppose 0 = -0*v + 5*v - 25. Suppose -v*j + 8 = -j. Suppose r + 1 = 3*r - 5*s, -j*s = 2*r - 8. Calculate z(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 72, 199, 398, 657, 964?\n\"Answer: -2*p**3 + 48*p**2 - 3*p + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 w when three letters picked without replacement from llglwhlhw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -812? (a) -2\/11 (b) -0.4 (c) 0.162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520081280.\nAnswer: 2, 5, 812627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((5 + 5*sqrt(112)*-1 - ((sqrt(112) - 1*(sqrt(112) + sqrt(112)*-1 + sqrt(112))) + -4)) + -3))**2 + 4.\nAnswer: -3840*sqrt(7) + 45380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13867117 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1 (b) -183 (c) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-543)\/(-6) + (-1)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -288 + 28. Let d = o + -42. Suppose -4*q - d + 95 = 0. Solve 2*n + 3*m + 2 - q = 0, 5*n + 3*m - 31 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 3*c + 2, 2*c - 1252*r + 4 = -1248*r for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 30, -2\/15, 6, 0, 196\/71?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**3 - 24*y**2 - 57*y - 36 = 0.\nAnswer: -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-140)\/(-16))\/(117\/(-104)). Let s = d + 76\/9. Factor 10\/3*o - s*o**2 - 2 - 2\/3*o**3.\nAnswer: -2*(o - 1)**2*(o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 13483, 2 in decreasing order.\nAnswer: 13483, 2, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 178186088?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i - 79. Let g be d(19). Suppose -g = -24*b + 66. Solve 3*q = 5*k + 31, b*k + 4*q = 2*q - 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 6*s - 2. Let u(g) = g**3 + 2*g**2 - 6*g + 2. Let w(c) = -2*u(c) - 3*y(c). Let x(q) = -2*q + 1. Let o be x(-2). Determine w(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 515.1 and -0.7.\nAnswer: -360.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 3) + 0*1\/(-3). Suppose g = l - 8*l + 28. Suppose -4*a = -2*v - 202, l*v + 52 = a + 3*v. Calculate the remainder when a is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(5 + -19))\/2. Let i be (1\/3)\/(10\/3). Which is the biggest value? (a) i (b) 6 (c) -2\/5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3.456348s?\nAnswer: 0.0576058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + 9 - -7) + -34.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -1.97642?\nAnswer: -0.02358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 24 = r + l, 4*r - 3*l + 124 = 0. Let a be (-4)\/14 - 120\/r. Suppose 2*s + 4*i - a = 0, 8*i = -5*s + 3*i + 20. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = 71*v - 28*v + 3*z, -77*z + 72*z = 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18, 20, 22?\n\"Answer: 2*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -1 + (135 - 120) + (-1 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 19*h + 26. Let b(o) be the first derivative of 1\/4*o**2 - 17\/8*o**h + 4\/3*o**6 - 1\/3*o + 17\/9*o**3 + 2 - 16\/15*o**5. Find i, given that b(i) = 0.\nAnswer: -1, -1\/4, 1\/4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291261?\nAnswer: 3, 17, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 99760 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 0*l + 2 - 12 + 10*l. Let h(v) = v - 1. Let b(i) = -i**2 + 3*i + 9. Let m be b(4). Suppose -m*f = 3 + 7. Give f*c(t) + 22*h(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - (-6)\/2)\/1. Suppose v = 2*j - 20, -8 = -4*v - q. Let a(r) = 3*r**2 + 2*r - 2. Calculate the remainder when j is divided by a(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.347 + 2.3. What is b rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c - 1. Let d = -11 + 6. Let a be n(d). Let b = a - -53. What is the remainder when 79 is divided by b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*w = 53*w - 158324 + 159584 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -1, 0.05, -9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 7) + 0 - (3 - (-3 - -13))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16161\/14 + 1146. Suppose 0 = 2*z - d - 5 + 2, 3*d = 4*z - 11. Calculate the common denominator of u and (-26)\/16 + 1\/z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -5*f**6\/192 + 53*f**5\/480 - 31*f**4\/192 + f**3\/16 - 1800*f**2. Factor d(m).\nAnswer: -(m - 1)**2*(25*m - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 6*k - 6. Let u be j(4). Suppose u*a = -0*a + 12. Suppose 2*c + 4 - a = 4*o, c - 1 = -o. Solve 4 = -4*l - o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 325198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 181191098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 6:06 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.866 - 0.044. What is g rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314822 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o - 17. Let q(t) = -14*t - 35. What is -6*q(b) + 11*r(b)?\nAnswer: -4*b + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92058203?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 5) + 2 + 2. What is the third derivative of -n**2 - n**2 + n**3 + n**t wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4 - f + 15 - 7. Calculate g(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - -280?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 4:17 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 5, 4*i = -4*p + i - 63. Is -22*6\/(-2)*p\/(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2. Let n(q) = 3*q + q**2 + 3 - 12*q**2 + 31*q**2. Let r be n(-1). Solve -6*l + l + r = p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2310\/56 + (-3)\/(-4). Suppose -42*z + 45*z = k. Suppose -2668 = -z*l + 1014. What are the prime factors of l?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -313 at least as big as -73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016882 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*b**4 - 2*b + 2*b**3 - 2 + 3\/2*b**2.\nAnswer: (b - 1)*(b + 1)*(b + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*i = -458456 - 95515. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4388, 17400, 39032, 69284?\nAnswer: 108156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -49704408.\nAnswer: -49704408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edgqsqgeiiiied. Give prob of sequence iisd.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 + 110. Let y = 249 - 287.2. Let a = i + y. Round a to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2*r - 4 = -7, 0 = 3*y + 3*r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r + 2*d - 10 = -29*r, 0 = 3*r + 3*d - 21. Calculate the least common multiple of 74 and r.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 4:33 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 2*b**6\/3 - 8*b**3\/3 + 68*b**2 - 132. What is the second derivative of g(l) wrt l?\nAnswer: 80*l**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3. Let y = -3 - u. Suppose 0 = -2570*b + 2588*b - 36. Sort -1, y, b, 0.\nAnswer: y, -1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(-62)*1*(-3)\/(-12)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018211 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5\/5 - 22*o**4\/5 - 342*o**3\/5 - 752*o**2\/5 + 1877*o\/5 + 462 = 0. What is o?\nAnswer: -7, -5, -1, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven quarters of a micrometer in nanometers?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -118510*l**3 + 7*l**2 + 0 + 5 - 4 + 20*l + 118512*l**3 + l**4 as t*l + m + d*l**4 + s*l**2 + k*l**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + n**2 - n - 9. Let i be v(0). Let o be ((-3)\/i)\/((-1)\/9). Let y = 36 - o. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 1\/43, 11, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*g + 28 = -33*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 33. Suppose 0 = j - 6 - 0. Let z = j + q. Solve w = 2*w - z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 3840?\nAnswer: 3836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*k + 4. Suppose -k*s = -5*s + 42. Let l = -2 + s. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3182.6 and -18?\nAnswer: 57286.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2113187 * 0.59\nAnswer: 1246780.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -2. Suppose 3*c + 66 + 51 = 3*k, -y*k + 10 = 0. Do -35 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*k**2 - 30*k**2 + 27*k**2 - 59*k**3 - 25*k**2 wrt k.\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -171505?\nAnswer: -17150.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2. Let g = 114 - 214. Let m = g - -104. Let a(p) = -3 + 3 - m*p + 3. Determine a(j(b)).\nAnswer: -8*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 5*h**2 + 3*h - 3. Let a be s(-4). Let y be (-5)\/(-5) + 669999*a. Round y to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**3 + 7*m**2 + 9*m - 7. Let v(f) = 16*f**3 - 34*f**2 - 45*f + 34. Let b(j) = 11*n(j) + 2*v(j). Calculate b(10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*w = -94*w + 70. Let j = 0 + 2. Suppose -108 = -2*g - w*t, 3*g + 2*t + j*t = 167. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.0002 rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f**3 - 26*f**3 - f**3 + 10*f**3.\nAnswer: -39*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72417.\nAnswer: 3, 101, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 - 86. Let l be 14\/h + (-4)\/10. Solve 3*g + 0*d + 2*d + 8 = l, -6 = -3*d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 9*x**5 - 3*x**4 + 24*x**2 + 3*x. Let i(m) = -m**4 + m**2 + m. Let t(g) = 2*a(g) - 6*i(g). What is the third derivative of t(q) wrt q?\nAnswer: 1080*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/6)\/((-4)\/(-6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*(-2*(0 + sqrt(243)))**2 - -4*(-3*sqrt(243)*2)**2).\nAnswer: 33046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**14*u**(-2)*u\/(u*u*u**5))\/((u*u**(4\/3)\/u)\/(u\/((u*u**(1\/2))\/u))*(u*(u**(1\/5)\/u)\/u*u*u)\/(u\/u**5)) assuming u is positive.\nAnswer: u**(-1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33132 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25706.42l?\nAnswer: 25706420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -6. Let f = -1 - -3. Solve 11 = -5*t - i*g - g, -2*g = -2*t + f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 - -c3c73?\nAnswer: c3c60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 j, and 1 q when four letters picked without replacement from {j: 1, q: 1, g: 6, s: 1, d: 3, z: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -95425 (base 11) to base 16\nAnswer: -21eb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17488147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - 350\/(-20))*14.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 2, m: 2}. What is prob of sequence md?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 34*a**2 - 149*a + 1686. What is w(31)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/7680 and -179\/660.\nAnswer: 84480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -34, -50, -66?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2516, 2513, 2508, 2501, 2492?\nAnswer: 2481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.145 - 3.345. Which is smaller: t or 0.502?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + ((sqrt(425) + sqrt(425) + sqrt(425) + (sqrt(425) + sqrt(425) + sqrt(425) + 1)*4)**2 - sqrt(68)\/(sqrt(40)\/(-2*sqrt(10)) + sqrt(4))).\nAnswer: 598*sqrt(17) + 95640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)*-2)\/sqrt(5) - sqrt(16)) + sqrt(16) + 1*sqrt(256) + sqrt(16))\/(3*(sqrt(392)*-2 + sqrt(392))).\nAnswer: -sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5126 and 204182.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, z: 4, r: 6}. What is prob of picking 4 r?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**5\/30 - y**4\/4 - y**3 - 166*y**2. Let l(t) = -2*t**2 + 7*t + 7. Give -7*i(d) - 6*l(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66809018.117981 + 66809049. Let k = 0.067281 + p. Let i = k - 31. Round i to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77493*x**5 + 2999*x**4 + 14781*x - 8851 wrt x?\nAnswer: 1549860*x**3 + 35988*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -151?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/((sqrt(6)\/sqrt(2) - sqrt(3))*1 + sqrt(3)))\/((sqrt(2) + -5*(sqrt(2) + sqrt(6)\/sqrt(3)))*3).\nAnswer: -sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 10 = 5*j, -j - 4*q - 2 = -3*q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 14 + 21967*s + 2 - 21965*s. Let q(f) = -f - 8. Give 4*h(m) + 9*q(m).\nAnswer: -m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 1. Suppose -u - 4*l - 5 = -3, -3*u - 6 = 5*l. Suppose 273*g - 5323 = 826*g + 7949. Put u, j, g in descending order.\nAnswer: u, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 34. Let j be l(-14). Suppose -j*h - 120 = -12*h. Solve 7 = 5*i - q + h, 2*i + 3*q = 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 z when three letters picked without replacement from {l: 1, i: 3, s: 4, z: 2, f: 1, b: 4}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*y = 3*y - 5, -5*y - 21 = x. Solve 0 = -0*n - x*n - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 10:15 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3420 = 113*w + 6923 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*t**3 + 3*t**3 + 6*t**3.\nAnswer: -22*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -75367?\nAnswer: -602936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 3*f - 20, -532*b = -535*b + 4*f - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*c - 3*c - h - 8, 134*h - 4*h + 264 = -2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -9 (b) -0.2 (c) 0 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1053\/(-90))\/9 - (-1)\/2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12102 (base 3) in base 10?\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -33500 (base 9) in base 2?\nAnswer: -101011100000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8399.764 meters?\nAnswer: 8399764000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + m + 14. Suppose 3*i = 6*i. Let x = i + 0. Solve x = -m*b + 2*b - 5*r - 25, 5 = -3*b - r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164175 or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 274998 divided by -91666\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -12) + (-4)\/((-12)\/(-15))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5912*a**2 + 6651*a - 13302. Let u(j) = j**2 + j - 2. What is -2*i(v) + 13302*u(v)?\nAnswer: 1478*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -8*j - 3. Let g be (1 - 2\/8) + (-38)\/8. Let h = g - -2. What is the remainder when p(h) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8056211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*o + 70077*o**2 + 42 - 9 - 70020*o**2.\nAnswer: 57*o**2 + 17*o + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 124 + -116.7. Let q = 816086 + -816078.69926. Let i = q - c. What is i rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -23, 4, -5.\nAnswer: -23, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 695756.9 millilitres?\nAnswer: 695.7569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6.4, 187, 4, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12461 times 9?\nAnswer: 1.12149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1014*p**2 + 7 - 1907*p - 369*p**2 - 3 + 2772*p wrt p.\nAnswer: 1290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-994)\/(-84) - (-1)\/6. Factor 54*v**2 + j*v**4 - 30*v**2 + 65*v**3 - 9*v + 9*v**4 - 9*v**4 - 20*v**3.\nAnswer: 3*v*(v + 1)*(v + 3)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 12*l - 4*l. Let i be 2\/(0 + 2) - -4. Suppose -x - q + 51 = -0*x, -l*q + 246 = i*x. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 412 = -6*t. Let w be ((-2)\/4)\/((-2)\/188). Suppose -3*c + w = -t. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10912 - 11583.9. Let n = h + 672. Put -4, 3, n, 1 in ascending order.\nAnswer: -4, n, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241046 + -4?\nAnswer: -241050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12469000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 154052 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z**3 - 2*z**3 + 0*z**3)*(-1 - 2 + z + 5) as f + h*z**4 + m*z**3 + n*z**2 + k*z and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*y**4 + 8*y**4 + 5*y**5 + (-3*y**2 + 6*y**2 - y - 2*y**2)*(-780*y**3 - 83616*y**2 + 83616*y**2).\nAnswer: -775*y**5 + 780*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**6*d**(1\/19))\/((d*d\/((d\/d**(3\/7))\/d))\/(d\/(d*d*d**13))))**14 assuming d is positive.\nAnswer: d**(-2760\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6 - (6\/(-15))\/(6\/62). Factor 268\/5*y**2 + a*y**4 + 144\/5 + 114\/5*y**3 + 2\/5*y**5 + 312\/5*y.\nAnswer: 2*(y + 2)**3*(y + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 136562 + -136442.799. Let t = w + -119. What is t rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d + 65. Let y(z) = -64*z + 184*z - 63*z - 60*z. Calculate y(m(n)).\nAnswer: 6*n - 195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c*q**2 - 9*c*q + 673*c - 30*q**2 + 20 wrt q?\nAnswer: 2*c*q - 9*c - 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/67 + -73\/201. Let i = 1\/6 - -1\/6. What is the second biggest value in -5, i, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 0 - a**3 + 0*a**2 + 4*a - 5\/12*a**4. Find the second derivative of u(r) wrt r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/8)*u**(-3)\/u)\/((u\/u**(10\/9))\/((u*u\/((u**11\/u)\/u))\/u)) assuming u is positive.\nAnswer: u**(-793\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*p + 118*p - 612*p - 22584 - 8424 = 0 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, 8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1717428 and 1002?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1366, -137, 3680, 10085, 19078, 30659?\n\"Answer: 1294*a**2 - 2653*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*((m**7\/m)\/m)\/m)**(-33))**(6\/17) assuming m is positive.\nAnswer: m**(-990\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (316 + 8\/4) - -3. Let q be 4\/22 + o\/44. Let g(v) = 2*v**2 + 2*v - 2. Let l(j) = -4*j**2 - 4*j + 3. What is q*g(w) - 4*l(w)?\nAnswer: 2*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 0 (c) -0.4 (d) 5.8 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 13 - 5. Suppose -3*b = -2*t - 15, 0 = b - 3*t + w*t - 5. Differentiate -6*m**3 + 6 + 7*m**3 + b*m**3 wrt m.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 41. Which is the second biggest value? (a) s (b) 4 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -23*v**2 - v + 3 - 5 + 2. Let m be t(1). Let x be -2 + ((-3)\/m - -2). Is x greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4274 + -1230923\/288. What is the common denominator of w and 21\/16?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96 - 65. Let c be 0\/(-3 - 0) + 10. Suppose 6*x = c*x - 64. Calculate the remainder when f is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, 773, 567 in descending order.\nAnswer: 773, 567, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.083 take away 6324.64861?\nAnswer: -6324.56561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5) + (-3)\/(-15)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-25)\/3*(-9)\/(-4). Let g = o - -19. Suppose 0 = -2*j - 1 - 1. Which is bigger: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i - 5*i - 5*i + 25*i - 4*i + 1389 in the form r*i + c and give c.\nAnswer: 1389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -2*l + 7*l. Suppose -6*r - l*r + 299 = 0. Calculate the remainder when r is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 9*n**2 - 14*n. Let o be g(7). Let y = 10335 - 82579\/8. Calculate the common denominator of y and -1 - 465\/50 - (0 + o).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21032959.827 minus 6975?\nAnswer: 21025984.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4\/16)\/(513\/(-18) + (-9)\/24)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -3. Let r = 45 - b. What is the third derivative of 25*v**2 + r*v**2 - 146*v**3 + 169*v**3 wrt v?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 + -6151253?\nAnswer: -6150900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00104769567 rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -6*m + 131. Let b = m + 1. Suppose 0 = -4*u + 12, -17 = h - u - 238. What is the greatest common factor of h and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.12 - 54.12. Let x = 28 - g. Let o = x - 74. What is the second smallest value in -2, 3, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/28)\/((-6)\/(-28)). Which is the closest to -2\/9? (a) 0.1 (b) h (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/5 - 7*q**2\/10 - 3*q\/10.\nAnswer: -q*(q + 3)*(2*q + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3)\/c)\/c)**(-2\/23)\/((c\/c**(-3\/2))\/(c**8\/c)) assuming c is positive.\nAnswer: c**(227\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1164*p**2 + 1810*p**3 - 1171*p**2 - 1171*p**2 - 1809*p**3 + 4671*p**2 - 1165*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrr when three letters picked without replacement from {y: 3, j: 1, q: 6, a: 4, b: 2, r: 2}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**2 - 3*l + 4. Let a(x) be the second derivative of x**4\/4 + x**3\/3 - 3*x**2\/2 + 399*x + 2. Determine -6*a(g) - 5*v(g).\nAnswer: 2*g**2 + 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + sqrt(833))**2 + (-1*sqrt(833))**2 + 4 + -5.\nAnswer: 14*sqrt(17) + 1661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.024 and 1.3?\nAnswer: 0.0312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2070713, -5, -3?\nAnswer: 2070713","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 81501 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-14)*(-539)\/154?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4098147971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7226*p**4 - p**3 + 2*p**2 + 253853?\nAnswer: 28904*p**3 - 3*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10841506 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 24, -2, -2\/23?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, r: 12}. Give prob of picking 3 r.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (1580346\/10 - 4) + (-232)\/145 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-28)\/(-8) - 3)\/(3\/18). Suppose -5*a - 183 = -o, 0 = -k*o - a + 5*a + 505. What are the prime factors of o?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 16. Let k = 11 + -9. Calculate the smallest common multiple of k and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -4.44.\nAnswer: 1.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*d - 155, 3*d = -4*t - 51 + 140. Let s(k) = -23*k**2 - 1. Let p be s(1). Let a = -15 - p. What is the remainder when d is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44081442 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -12699\/40 - -1628\/5. What is the common denominator of (6\/(-8))\/(6\/(-17)) and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15035 and 78182?\nAnswer: 390910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2398 divide 85474756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -3*a**5\/160 + 3*a**3\/16 + 3*a**2\/8 + 15*a. Suppose y(h) = 0. Calculate h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, i: 10}. What is prob of sequence hihh?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 + 141. Suppose -37*g = -u*g - 44. Calculate the highest common divisor of 176 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 7:15 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 2*v**2 + 173273*v + 5*v**2 - 173273*v - 2*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*9161.\nAnswer: 274.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -97 < -101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 397550631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -30.6. Sort -0.2, -5, f.\nAnswer: -5, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58650 + 118859. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -19*h - 88. Determine w(-2).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -112326456 divided by 6\nAnswer: -18721076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((-440)\/4)*1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 63\/2. Let m(z) be the second derivative of y*z**4 + 0 + 0*z**3 - 6*z + 5\/2*z**2. What is the first derivative of m(v) wrt v?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 23. Suppose -3*z = 9, -2*y - z = -r - 0. Solve -y*k - 2*k = 0, -2*k = 4*m + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -43.7. Let u = 1.2 + w. Let k = -3.91 + u. Round k to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by -223119.\nAnswer: 9\/24791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94268.61l to millilitres.\nAnswer: 94268610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 271670741 to the power of 1\/2, to the nearest integer?\nAnswer: 16482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1147605382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -67 (b) -0.07 (c) 0.39 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61200 divided by 6120.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n*t + 23*n - 122*t with respect to n.\nAnswer: t + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37.82 + 37.32. Sort 6, 4\/19, i in ascending order.\nAnswer: i, 4\/19, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2061044 by -4.\nAnswer: 515261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from {n: 6, y: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002012200101 (base 3) to base 14.\nAnswer: 10d75a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -1.2\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528*f + 106 - 4 = 531*f + 16*w - 3*w, 2*f + 8 = 4*w for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3. Let d(m) be the first derivative of -5*m**4\/4 + m**3\/3 + 3*m**2\/2 + 10. Let q be (-84)\/56*(-8 - -4). Calculate q*p(j) - d(j).\nAnswer: -j**3 - j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 9*c**8\/56 - 7*c**4\/12 + c. Find the third derivative of p(m) wrt m.\nAnswer: 1080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 h, and 1 b when three letters picked without replacement from qjzbzzzzbzzxzqh?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - i + 4*i + 4)*(-3 - 11 + 0)*(-3*i + 5*i + 2*i) as a*i**2 + o + l*i and give a.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.099502 litres to millilitres.\nAnswer: 3099.502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 1)*(-2)\/(-6). Suppose 3*z - 781 = -4*l, x = -4*l + z - 341 + 1142. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v. Let r(a) be the third derivative of a**4\/12 - a**3\/6 + 3*a**2. Let b(i) = 4*p(i) - 3*r(i). Let o be b(2). Sort o, -4, -5, 3.\nAnswer: -5, -4, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18085103 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*g + 7 = 46, 2*g + 58 = 4*f. Let a(l) = -2*l**2 + 4*l - 1. Let i be a(3). Let u = f + i. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by -2*(-11 - (1 - 2))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i**2 + 0*i**3 + 3*i + 2*i**3 + 762 - 759 + 11*i**2 as c*i**2 + s + w*i + u*i**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*k + 3. Suppose 4*d - 126 = k*d. Calculate the remainder when 31 is divided by d\/(-8) - 1\/(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, n: 3, b: 3, v: 4}. Give prob of sequence bnrn.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -13946*o - 15483. What is the hundreds digit of p(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -315\/68 + -19\/17. Let h = 15901\/28 + -567. Find the common denominator of h and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -10*b**7\/49 + 52*b**6\/105 + 27*b**5\/35 - 34*b**4\/21 - 8*b**3\/7 + 16*b**2\/7 - b + 504. Solve r(v) = 0 for v.\nAnswer: -1, -2\/3, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218, 218, 232, 266, 326?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 15 = 3*j, j - 9 = 2*f - 0*f. Let m = 1 - 0.8. Let r = -0.1 + m. What is the nearest to r in 3\/8, f, -3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3588.3 + -3588. Which is the third biggest value? (a) -3 (b) -40 (c) i (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m = -24*m + 4*s - 4, 2*s - 2 = -2*m. Solve -2*f - 4*a = 2 + 6, 2*f + 2*a + 6 = m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -2480b?\nAnswer: 24806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 2136*j - 228982. Let c(k) = -3*k**2 - 2*k + 1. Let i(m) = -2*c(m) - y(m). Factor i(g).\nAnswer: 5*(g + 214)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 32*o + 9*o = -9449680000. Round o to the nearest one million.\nAnswer: -230000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3485614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8421, -3, -1\/3 in decreasing order.\nAnswer: -1\/3, -3, -8421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/5 - 11*q**3\/5 - q**2 + 47*q\/5 - 6 = 0. What is q?\nAnswer: -10, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 29. Let p = m - -16. Let d(i) = 4*i**2 + i**2 - 6*i**2 + i**3 + p. Give d(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1611762 and 12246.\nAnswer: 20952906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8231952 and 8231952.\nAnswer: 8231952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 54572, 54573, 54588, 54623, 54684, 54777?\n\"Answer: f**3 + f**2 - 9*f + 54579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 - n**4 + 3*n**3 + (2*n - n + n)*(2*n**2 - 2*n**2 + 2*n**3) + n - 6*n**4 + 877*n**2 - 1773*n**2 + 874*n**2.\nAnswer: -3*n**4 - 22*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/133 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 1196.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(1\/(-30)*-2). Calculate the common denominator of -36\/7 and u\/14*(-44)\/(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000028231242 to 6 dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-9)*-93*4\/(-4). Suppose -224 + 56 = -3*w. Let a = w + x. Is 16 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4\/9, 202, -2, 0.2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 120 * -3.16\nAnswer: -379.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10ab23 (base 13) in base 9?\nAnswer: -662036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = h - 7. Suppose -4*t + 3 = -3*t. Suppose 4*l - 5*k = -0*l + 32, 0 = t*l - 2*k - 17. Solve -6*q - 4*n - l = -h*q, q - 4*n = -17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4)\/((-3)\/(-4)). Let p be (4\/10)\/(1\/5). Is p bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + sqrt(63)*3)**2.\nAnswer: -576 - 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.74786 rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -102, -111, -134, -177, -246?\n\"Answer: -c**3 - c**2 + c - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2227862*n**5 + 65*n**2 - 1961*n + 3.\nAnswer: -133671720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -47460 divided by -452?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38746 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 30*u**2 - u - 5. What is the remainder when 122 is divided by d(-30)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 13*m**2 + 20*m - 1070. Determine l(-8).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = y + 4*h - 4, -y - 7 = -5*h. What is the common denominator of 127\/18 and 1\/y - (-1068)\/(-72)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 161*b**3*t**4 - 2*b**3*t**3 - 37*b**3 - 20*b**2 with respect to t.\nAnswer: 644*b**3*t**3 - 6*b**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 + 78. Suppose 689 = -a*i + 11*i - 3*w, 5 = w. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3249 + 0.0751. Which is the closest to -0.4? (a) 0.07 (b) 1\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(98)*-2 + (-2 + sqrt(98))**2 + 0.\nAnswer: -42*sqrt(2) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 10 + 15 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -55, -189, -403, -691, -1047, -1465?\n\"Answer: z**3 - 46*z**2 - 3*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1 = -10*l + 5*l, -2*l = -m - 1. Suppose -m*h + 7 = -20. Let n(i) = i - 10. Let w be n(h). Put -4, 8, w, -3 in decreasing order.\nAnswer: 8, w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 6468*h + 2866910.\nAnswer: -2*(h - 395)*(h + 3629)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -3. Let t = -63074 + 63073.3. Which is the third biggest value? (a) 4 (b) v (c) t (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23058)\/549*(6\/28)\/((-3)\/4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 16*x**2 - 28*x + 183. Give c(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -5, 249, -1 in decreasing order.\nAnswer: 249, 5, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, 1, 0.1 in decreasing order.\nAnswer: 1, 0.1, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 300\/561803?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 2:25 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 25239254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**20\/h*h*h**23\/h)**(-44) assuming h is positive.\nAnswer: h**(-1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.45 - 0.55. Let d = -6.3 - m. Which is the closest to -0.1? (a) 7 (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**8\/336 + g**6\/60 + g**3 - 3*g**2. Let h(t) be the first derivative of f(t). Find the third derivative of h(m) wrt m.\nAnswer: -120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysz when three letters picked without replacement from oyszzzzzz.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 2*j**6\/21 - 2*j**5\/7 + 3*j**4\/14 + 2*j**3\/21 - j**2\/7 - 1. Factor z(u).\nAnswer: 2*u*(u - 1)**3*(2*u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -221\/2502426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*n + 2*q = 30*n + 2091, 16*n - 11169 = -5*q. What is the remainder when n is divided by 118?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 2.8, 0.01, -26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*(2\/(-3))\/1. Suppose 0 = 4*m - 2*g + 42, -m - g - 18 = -q*g. Let l(t) = -t**3 - 10*t**2 - 9*t + 4. What are the prime factors of l(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 16 - f**2 + 6*f - 10*f**2 - 5. Let p = -100 + 66. Let g(n) = 2*n**2 - n - 2. Calculate p*g(q) - 6*c(q).\nAnswer: -2*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iittt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0.6. Let p be (4 + (2 - 3))\/(-1). Let j be (-30)\/35*1\/p. What is the second biggest value in -1\/5, j, x?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142171 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-5) + (-78625)\/(-625)*(-7 - -2 - -4)?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 7631 + 7618 = 3*j, 3*j + 53 = -19*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 6 - 3 - 13) + (1 - 1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8080 (base 12) to base 8.\nAnswer: -33140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29302 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 18*h - 22*h + 16, 0 = h - n - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 362 - 359. Let z be (d - 2) + 0*1\/2. Solve -9*m + 8*m = -z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b + 2. Let f be h(0). Let l be 98\/4 + f\/4 + -1. Suppose -8*i + 48 = -4*i. What is the highest common factor of i and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 31*i**2 + 3*i - 355. Let x(s) = 25*s**2. Determine j(x(y)).\nAnswer: 19375*y**4 + 75*y**2 - 355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -609835.01 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p**3 - 4*p**2 - 3*p. Let r be b(-2). Let s = 29 + r. Let x = s + 56. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (420\/(-192))\/((-931)\/1064)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 - 27*v**2 - 57*v + 177. Let q be r(15). Which is the closest to 1\/2? (a) 1 (b) -1\/3 (c) q (d) 285\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) -0.4 (c) 19 (d) -85 (e) 94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**4 + 1368*g**3 + 11120*g**2 + 27936*g + 22400 = 0 for g.\nAnswer: -4, -2, 350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/20 in 44, 0.1, -0.2, -2, -4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 78*j - 2011. Calculate k(27).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -141 + 9?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -132280*m**2 + 132940*m**2 + 1308 + 2*m**3 + 1806*m + 160*m.\nAnswer: 2*(m + 1)*(m + 2)*(m + 327)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*k + 16 = -53*k. Let l(a) = k + 1 + 17*a**3 - a**2 - 6 - 2*a. Suppose 0 = -5*w + w - 4, -2*u - 3*w = 5. Give l(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151315019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 10:00 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.2 + -11.2. Which is the nearest to 0.2? (a) w (b) -0.6 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2)\/f)**(-19\/5)*f\/(f\/f**(1\/6))*f*(f\/f**(-7))\/f)\/(f**(-5\/4)*f*f*f**(-2\/11)*f*f*f\/f**(4\/5)*f*f*f**(-2\/3)) assuming f is positive.\nAnswer: f**(1289\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100021201012 (base 4) to base 5.\nAnswer: 2040431121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/697, -4, 2\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -1882, -2\/3, -0.2 in descending order.\nAnswer: 0.8, -0.2, -2\/3, -1882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266597 (base 10) to base 6.\nAnswer: 5414125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 65624 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 2:22 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5))**(-1\/44)\/(t**6*t**5)*(t\/(t\/(t\/t**6))*t)\/(t*t**(3\/8)*t)*(t*t**1)\/((t\/(t*t**(-1\/7)))\/t) assuming t is positive.\nAnswer: t**(-44743\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27300 and 5388.\nAnswer: 12257700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92299*h**2 + 10*h + 588127 with respect to h.\nAnswer: 184598*h + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 9. Let m = a - -9. Let y be ((-1)\/2 - -1)*2. Sort y, -2, m in ascending order.\nAnswer: -2, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o + 12. Let f be h(5). Let w(s) = s**2 - 9*s + 7*s**f + 8*s. Let t be w(2). What is the greatest common factor of t and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69457867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, g: 2}. What is prob of picking 2 e?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 632 divide 1329836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-52))\/((5\/(-8))\/(-1))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**3 + g. Let c be u(1). Let n be (-40)\/(-2) - (-3 - 0). Let j be (-4)\/14 - 116\/(-14). Solve c*k = n - j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 541843?\nAnswer: -541838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6488?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, 540, 796, 1052, 1308?\nAnswer: 1564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5820, 5821, 5822, 5823, 5824, 5825?\nAnswer: 5826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746034643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejxj when four letters picked without replacement from jjvgrxe?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/5 - 2\/(-10). Suppose 0 = -7*h + u*h + 4. Let p be h\/(-2)*0 - -3. Solve 0 = -i - 1 - p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) + (-199)\/(-12). Let s = m + -187\/12. Let n be (-1)\/9*(10 + -7). Sort n, s, 1\/10 in increasing order.\nAnswer: n, 1\/10, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, -17, -26, -33, -38?\n\"Answer: a**2 - 14*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m - 10. Let x be z(-7). Suppose -x = 2*s - 44. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -218*24\nAnswer: -5232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 488a2b (base 13) to base 6\nAnswer: 101050551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21101208 and 255852147?\nAnswer: 2046817176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**3 + 7*n + 20*n**2 - 20*n**2 - 6*n. Let w be g(-10). What is the highest common divisor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/42 and 46\/15.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846660163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10122661.\nAnswer: 1877, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 13. Let v be -1*2 + -8 + 4. What is the tens digit of t(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 256 and 576?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 12*s - 2. Let y(j) = j**2 + j + 12. Calculate the remainder when f(3) is divided by y(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 6. Suppose 0 = -q - y + 7. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 1, c: 1}. Give prob of picking 1 c and 1 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a + 47. Let h be o(5). Calculate the remainder when -3*(h\/(-1) - -7) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y - 30. Let z(a) = -30*a - 180. Let k(i) = 25*w(i) - 4*z(i). Let u be k(-9). Round u to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 252\/(-216)*(3\/3)\/((-4)\/24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**3 + 2*d**2 + 21*d + 60. Let f be n(-3). What is the highest common factor of f and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1188 and 29\/2772.\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**3\/5 + 125658*o**2\/5 - 7250319*o + 524733540 = 0. Calculate o.\nAnswer: 145, 41596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6255 rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15015 and 2457?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-153)\/2040)\/((-1)\/(-5))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 3 - 3 + (-1085 + 1085 - 10*b)*(-21 + 38 - 22))*(-1 + 3 + 0) as p*b + t and give p.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3 = k, 5*b - 4*k + 18 = 6. Let q = 46 - 46.2. Put q, 5, b in descending order.\nAnswer: 5, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 5*u + 7. Let h = 6 + -12. Let r be j(h). Let x be r\/5 - 297\/(-15). What is x rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**24)**(6\/7) assuming k is positive.\nAnswer: k**(144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*p**2*y**4 + p**2*y**3 - 7*p**2*y**2 + 39*p**2 + 2*y**4 wrt y?\nAnswer: -312*p**2*y + 6*p**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -69, 603, -54, 4 in decreasing order.\nAnswer: 603, 4, 2, -54, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1078610 + -91679667\/85. Let x = 5843\/40 - 1375\/8. Let r = x + f. What is the biggest value in 0.2, -2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*g*z**3 + 6*g*z**2 + 24*g*z + 6*g - z**3 - 1849*z**2 - 90*z with respect to g.\nAnswer: -16*z**3 + 6*z**2 + 24*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 5016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**6 + k**5 - k**4 + k**2. Let m(c) = 13*c**6 - 6*c**5 + 6*c**4 - 9*c**2. Let w(f) = m(f) + 6*o(f). What is the third derivative of w(t) wrt t?\nAnswer: 840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v = 6*v + 19*v - 5*v - 1120 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 218, 317, 504, 809, 1262?\nAnswer: 1893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*j**2 - 6*j**2 + 2*j**2)*(0 + 1 + 2)*(-1 + 1 - 2*j) in the form l*j**2 + b + x*j + a*j**3 and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18115? (a) 2\/9 (b) 1\/13 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 63.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*j**3 + 3*j - 4*j + j.\nAnswer: 42*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c64 (base 16) to base 4.\nAnswer: -3301210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 4632552*j**2 + 259413504*j + 3631745152.\nAnswer: 4*(j + 28)**2*(j + 1158082)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c + 123. Let i = -26 + 42. Calculate the smallest common multiple of 7 and d(i).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/8 (b) 1 (c) -2 (d) -4 (e) -0.059\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -9, -2*j + 21 = -z - 30. Let y be 3\/2*j\/6. Suppose -3*g + v + 44 = 0, -4*v - v = 10. Solve -2*f + g - y = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*f - 3*g - 1, 5*g - 18 = -4*f. Let x = 38 - -34. Suppose p + x = 9*p. Which is smaller: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278303?\nAnswer: 53, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.3. Let v = 15 - 10. Suppose -z = z + 5*h - 23, 0 = -v*h + 15. Sort z, j, 0.4 in increasing order.\nAnswer: j, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9770 and 3015122?\nAnswer: 3024892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 777 or 66249?\nAnswer: 66249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/50 + 46339\/(-7450) and -33\/350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00179716022 rounded to six decimal places?\nAnswer: 0.001797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410 a factor of 388024307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -211*q**2*w**2 - q**2 + q - 55*w**3 + w - 1463 wrt w.\nAnswer: -422*q**2*w - 165*w**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5d1 + 0?\nAnswer: -5d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 13. Suppose u = -7 + q. Suppose 0*y + 2*y = 5*s + 7, 0 = -u*y + 2*s + 4. Are -2\/111 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 0 - 1 + 2*l + 4 - 4. Let o be d(2). Let p(a) = 297 - 297 + 12*a. Give p(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8550 and 28302975.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b + 4. Let p be f(2). Let r(w) = -w - 10. Let h(l) = -1. What is p*r(i) + 18*h(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138481054 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3 + 2 = 0. Let p be 16\/(-6)*(g - 16). Round p to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7790 - -5?\nAnswer: -7787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*p + 3. Let d = 4 - p. Suppose 13*q = 8*q + 10. Solve h + 4*t - 10 = 6, 0 = d*h + q*t + 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(1 - 2 + 0)*(0*t - 3*t + 5*t + (-2*t + 3 - 3)*(-2 + 2 + 1) - 3*t + 4*t - 2*t - 4*t + 2*t - t + 3*t - 4*t + 3*t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + -28. Let u = -19 - p. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((5 + 0 + sqrt(112) - (sqrt(112) + 0 + sqrt(112) + 1))*-2 + 2)*-6 + 3)**2.\nAnswer: -3360*sqrt(7) + 17353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 13*j**2 + 12*j. Let v = -23 - -11. Let t be p(v). Solve o + 3 = -t*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence juka when four letters picked without replacement from {a: 1, u: 1, k: 1, x: 5, j: 2}.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -30, 2\/5, 47, 27.73 in increasing order.\nAnswer: -30, -0.4, 2\/5, 27.73, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12662 + -383?\nAnswer: -13045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427370 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19 and 33237?\nAnswer: 631503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6 - ((7 - 10) + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - m - m + 12, 4*l - 5*m - 9 = 0. Suppose -2*k - 3 = -3*j - 12, 0 = -2*j - 4*k - l. List the prime factors of (-1)\/3 + (-121)\/j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5912 divided by 4655.\nAnswer: -5912\/4655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 3850.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -168741216 and 5.\nAnswer: -843706080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (328\/(-246))\/(4\/(-42))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3774461 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 2. Let j = s + 7. Calculate the remainder when 2 + (-22)\/12 - 6622\/(-516) is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3362*z = -38712 - 58786 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((6*(sqrt(117) - sqrt(117)*2))\/(sqrt(1296)*-2) + -2 + -2*sqrt(13) + sqrt(13) + (sqrt(1300) - (sqrt(1300) + -1)) + sqrt(1300) + sqrt(1300))*4)**2.\nAnswer: -2464*sqrt(13) + 308372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 13. Let b be g(-10). Suppose -2*n - 9 = 3*d, 4*n - b*d - 2*d = 15. Solve n = 2*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5482 = 3*b - n - 23091, n + 38097 = 4*b. List the prime factors of b.\nAnswer: 2, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 4*o - 5*o)*(-68*o + 841 - 1689 + 841 + 356*o).\nAnswer: -288*o**2 + 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1416 and 2124?\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 - 9*l - 54 + 10*l + 125.\nAnswer: l + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Let p = 3.9 + -4.2. Which is the closest to -1\/3? (a) p (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 247 (base 9) to base 6\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2361259*y**2 + 2361257*y**2 - 4722502*y**2.\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 10. Suppose 4*u + 8 = -0*n + 2*n, -4*n + 3*u = -31. What is the lowest common multiple of n and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -35. Let h = -8 - w. Suppose 0 = -b - 2*u - 2*u + h, u = 0. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 4280370072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -9 + (4 - 2) - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/2 - 242*v**2 - 57293*v\/2 + 58265 = 0.\nAnswer: -271, -215, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9603860?\nAnswer: 2, 5, 7, 181, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6*-16*(-1128)\/188\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -1\/12*g**4 + 13\/120*g**6 + 3\/10*g**5 + 0 - 8*g + 0*g**2 + 0*g**3. Suppose r(m) = 0. Calculate m.\nAnswer: -2, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 274, 1350, 2456, 3592, 4758?\n\"Answer: 15*t**2 + 1031*t - 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 8*f**2 - 9*f + 3. Let m be p(-9). Suppose 7*b = m*b - 8. Is -5 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 3*r**2 + 5. Let g be a(-4). Let t = g - 11. Suppose -2*h - t = 0, -4*q + 65 = -2*q + 3*h. Round q to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.3147 minutes in weeks?\nAnswer: 0.004793125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/4 (b) -4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 309 and 824?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 324594449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4875070 or -4875071?\nAnswer: -4875071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -r + 6*r, s + 4*r = -43. Suppose -118 - 7 = 5*g. Let k = g - s. Solve -4*f = 4*z + 42 - k, 0 = 3*z - 5*f - 19 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 2*b, -197*g = -192*g + 4*b - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40058, -80037, -120016, -159995?\nAnswer: -199974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -56*g + 30. Solve -m + 2 = -g*b - 3*m, -4*b - 10 = 2*m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*t - 22465 = 0, 0 = 5*q - 9*t + 3*t - 22464. Does 107 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 10:01 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*v**3\/7 - 14139*v**2\/7 + 336930*v\/7 - 2016 = 0.\nAnswer: -49, 6\/143, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084484 smaller than 1084485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 929799 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from eopcy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-40))\/(4 + (-195)\/48) - 360\/(-29)\nAnswer: 12\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2 - 5*b + 2. Let i(a) = -8*a**2 + 11*a - 4. Calculate 4*i(k) + 9*x(k).\nAnswer: 4*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.61, 0, 16 in descending order.\nAnswer: 16, 3, 0.61, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 193995 and 1076313?\nAnswer: 145302255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15399)\/(-17110))\/((-6)\/(-4)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, 9, 19?\n\"Answer: 10*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -135, -268, -401, -534?\n\"Answer: -133*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -13*u**2 + 2*u - 37. What is g(4)?\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82.4 + 82. Sort -4, u, -2 in increasing order.\nAnswer: -4, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*p - 111456 = 0, -3*u - 33*p + 32*p - 167188 = 0. What is u rounded to the nearest 1000?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.76564 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 405773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 100 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13059232 + -23079232. What is z rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/4)\/(-18)*-4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + (22 - (2 - -3)) + 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 80*n + 816. Let q be h(68). Factor -2\/7*u**2 + q*u**4 + 1\/7*u**5 - 4\/7*u**3 + 2\/7 + 3\/7*u.\nAnswer: (u - 2)*(u - 1)*(u + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**4 - 38*t**3 + 2*t**2 + t + 35960 wrt t?\nAnswer: 12*t**2 - 228*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -227 (base 10) to base 7.\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 2 - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 454 - 2138. Let r = t - -2559. List the prime factors of r.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u + 1. Let q(x) = 4*x. Let n(j) = -3*q(j) + 4*w(j). Let b be n(0). Suppose -20 = b*y - 76. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 6 = -7*a. Put 7, 0, a in ascending order.\nAnswer: 0, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-6)*(0 - -3). Let m(k) = -k**2 + 8*k - 2. Let x be m(t). Solve x*r = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-4) - (-2562)\/12?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + w**2 - w. Let q(a) = 16*a**4 - 7*a**3 - 16*a**2 + 9*a - 1. Let i be 2\/3*18\/(-4). Let l(v) = i*f(v) - 3*q(v). Suppose l(h) = 0. Calculate h.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 863c + 951?\nAnswer: 918d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjgjnztgjgjn. What is prob of sequence gnzj?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-23)\/(-65) + (-25)\/125.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 75 = -102. Suppose 7*z - 248 = -4*n + 5*z, 3*z + y = 3*n. What are the prime factors of n?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52033 to the power of 1\/2, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a factor of 65054853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6471695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 260*p**4 + 426 wrt p.\nAnswer: 1040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 188, 367, 588, 839?\nAnswer: 1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + 2*(sqrt(252) + 1*(1 + sqrt(252) - sqrt(252)))))**2.\nAnswer: 2592*sqrt(7) + 36612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -1. What is the units digit of -2 - 2\/x*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 5) to base 16\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.0252, 24, -1.5, -4?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 566*r - 17. Let b be s(10). Suppose 11*g - 22*g + b = 0. Suppose -5*n + g + 187 = 0. Is 20 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7252, -14544, -21834, -29122, -36408?\n\"Answer: y**2 - 7295*y + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212313 - 244201?\nAnswer: -1012014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 1:47 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1556, -1528, -1498, -1466, -1432, -1396, -1358?\nAnswer: -1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 34 - 3*(0 - -1). Let j = -11 + f. Solve -d - 5*s = -j, -3*s = d - 7*s + 16 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -5. Let h(v) = -2*v - 8. Let q be h(j). Find the third derivative of 9*a - 9*a + 3*a**2 - q*a**3 wrt a.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Suppose -c*z = 3*z. Let f(p) be the second derivative of p**5\/20 - p**4\/12 + p**2 - 9*p. Give f(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27608 and 41278832?\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/6)\/(6\/9). Let l = 0 - a. What is the third smallest value in -3\/4, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10944 and 8220?\nAnswer: 7496640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 + (-79 - -173) - (-48 + (-2 - 0)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -2*o**3\/3 + 40*o. Let q(v) = v**2. Calculate q(d(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-442)\/(-520) - (-2)\/(-20).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.929311868 to five decimal places.\nAnswer: -0.92931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**5\/120 - 79*n**4\/24 - 53*n**3\/4 - 852*n**2. Factor w(i).\nAnswer: (i - 159)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - r - 3*r - 2)*(5*r**2 + 3 + 1 - 3*r**2).\nAnswer: 2*r**3 - 4*r**2 + 4*r - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7040839*t + 7040837*t - 3504 - 5837 + (4 - 4 + 1)*(3*t + 0*t - 4*t) - 2*t + 2 - 2.\nAnswer: -5*t - 9341","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20575 rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240131?\nAnswer: 240131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 99*g**2 + 55*g + 5912. What is j(-99)?\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10)*((-572)\/(-130))\/22.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -1. Let o(y) = -4*y + 4 - 4*y**2 + 2 - y**3 - 8*y**2 - y. What is the remainder when o(r) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 - (2 + 2 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 32*g + 1839. What is k(-58)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -276 - -279. Suppose 0 = -a*y - 3*w + 1299, -w + 410 - 1729 = -3*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/8 - (-2)\/(-8). Let z = w + 8. Suppose -a + 15 = z*k, 2*k - 17 = 6*k - 5*a. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 3:05 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 11. Let p = -14 + 14. Let u = 0 - 0.1. What is the third smallest value in y, p, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5))**14*(g\/(g*g**5)*g)**40 assuming g is positive.\nAnswer: g**(-230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**4 + 0*t**4 + 8*t**4)*(-8 - 9 - 10 + (4 - 1 - 1)*(1 - 4 + 1) + 1 + 1 - 1 - 1 + 3 - 3 + (-1 + 3 - 1)*(-3 + 3 + 1) - 1 - 2 + 2)*(5 - 2 - 2).\nAnswer: -62*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -3. Let q be 19\/(-15) + (-22)\/(-33). Suppose -5 = -z - 4*z. What is the third smallest value in z, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102\/306*114)\/(1*2\/1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0391 + -2482250942.736?\nAnswer: -2482250942.6969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 14*s**2 + 23*s - 10. Calculate n(12).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**2 - 131996*k + 4355736004 = 0.\nAnswer: 65998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d + 80. Let p be w(8). Calculate the highest common divisor of 288 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2\/15 (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -60. Suppose 3*m + 0*m - 126 = 0. Calculate the highest common divisor of y and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.95 + -0.05. Let t = 338 - 336. What is the nearest to n in -1, t, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -416, -928, -1644?\nAnswer: -2564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 0 + (10 - 4 - 8 - -6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -201*n**3 - 5*n**2 - 50*n - 394. Let r(w) = 200*w**3 + 4*w**2 + 40*w + 394. Let o(l) = -4*j(l) - 5*r(l). What is the derivative of o(f) wrt f?\nAnswer: -588*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from apxaaaphxahipai?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/12*-1)\/(-1)*-484. Suppose 3*y - d = 4*h + 70, 0 = -3*y - 2*h + 215. What are the prime factors of y?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 4*l + 1. Let h be c(8). Let f = h - -79. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3 + 154\/240)*18081\/6027.\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 136*d**3 + 217 with respect to d.\nAnswer: 408*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03755 and 536034690.\nAnswer: 536034690.03755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(6\/8)\/(9\/(-6)). Suppose c + 5*x - 22 - 35 = o, -5*x + 198 = 4*c. Let t = c - 24. Calculate the remainder when t is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/9, 0.5, -2\/39, 1.\nAnswer: -2\/9, -2\/39, 0.5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -161 + 161.4. Put 1, -6.2, k in increasing order.\nAnswer: -6.2, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(0 - 2\/9). Let l(n) = 44*n**2 - 2*n - 1. Let k(y) = -3*y + 14. Let z be k(5). Let d be l(z). What is the greatest common factor of a and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39977?\nAnswer: 7, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -30752*j**5 + 6304656*j**4 - 72153618*j**3 + 161411210*j**2 - 2589342*j + 10422 = 0?\nAnswer: 1\/124, 3, 9, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 322.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -38555, -154235, -347035, -616955, -963995, -1388155, -1889435?\n\"Answer: -38560*j**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*z - 65 - 83. Solve -5*i = -4*i + z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 6*f - 395. Let a be q(0). Let t = 323 - a. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3 + 6*l**2 + 2 - 5*l**2. Let i = -17 - -40. What is the remainder when i is divided by g(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + 4)*(-72)\/(0 - -4). Let c be 12\/15*585\/b. What is the highest common factor of 52 and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13365 = 1485*f + 13365 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g = 31*g - 2*q + 4, 4*g + 3*q = -16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 193407, 193185, 192953, 192711?\n\"Answer: -5*s**2 - 207*s + 193619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 1:34 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23322 by 47550.\nAnswer: -3887\/7925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, 19, 48, 99, 178, 291, 444?\n\"Answer: x**3 + 2*x**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 3. Let b be (i\/(-1))\/(7\/(-7)). Let c be 0 + 6\/(-10) - -1. Which is greater: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*(-5*sqrt(162)*2*-6)\/(5*(sqrt(9) - (sqrt(9)*2 - sqrt(9))*6)))**2.\nAnswer: 23403\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 46*180\/22080*120\/(-2)\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 + 51*w + 249. Let i(q) = 5*q**2 - 52*q - 251. Let u(m) = 7*h(m) + 6*i(m). Find the first derivative of u(t) wrt t.\nAnswer: 4*t + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 1015 + 831 - 2808.\nAnswer: -2*n - 2992","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 6. Let v = s - 7. Suppose 0 = -3*c - 3*a + 3, -v*a + 0*a - 37 = -5*c. Solve 0 = 5*f + 2 + 13, 15 = -c*q - 5*f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*o - 821 - 978 = 941 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127 + 127 + 5*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 69a (base 12) to base 7\nAnswer: 2602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2305722 is divided by 110.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -2146043\nAnswer: -2146043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ed3 + -1?\nAnswer: 2ed2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 - 0.1. Suppose 4*c + 31 = -19*o + 20*o, -99 = 2*o + 15*c. What is the nearest to 3\/5 in -5\/2, d, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11637, 11455, 11143, 10701?\nAnswer: 10129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, 24 in ascending order.\nAnswer: -5, 14, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 + 64. Suppose 4*c + 8*p - 46 = h*p, 2*c - 35 = -5*p. Suppose 0*s = c*s - 1830. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1805540 - 1806172 = 79*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by 2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, n: 7, a: 2, q: 1, s: 2}. What is prob of picking 1 n and 2 i?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.49998581 + 21.5. Round n to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) 1904 (c) -2\/9 (d) 1.9 (e) 6 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let d(b) = b**2. Let x(z) = -20*z**2. Let f be 18\/(-3) - (0 + 0)\/2. Let y(r) = f*d(r) + x(r). Calculate y(t(l)).\nAnswer: -26*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - 248*q**3 + 19239*q**2 - 429012*q - 1466964.\nAnswer: (q - 102)**2*(q - 47)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -109*o**3 + 106*o**3 - 3 - 2 wrt o?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38315*s**2 - 38451*s**2 + 52*s**3 + 97*s**3.\nAnswer: 149*s**3 - 136*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 - 5*s + 5*s + 0*s.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -176*f**3 - 1385*f**2*z - 423*z + 28 wrt f?\nAnswer: -528*f**2 - 2770*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - -7 - 12578\/1406. Which is bigger: 13.2 or r?\nAnswer: 13.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 - -0.21. Let i = 113.6 - 113.65. Sort 0.1, a, 5, i in decreasing order.\nAnswer: 5, a, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-10 - (-66)\/(-22)) + ((-1362)\/(-150) - -3)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 223 + -271. Let j be b\/(-9)*1\/(-6). Which is greater: j or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u - 102. What is b(14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 0*m**2 + 0 + 295*m + 1\/20*m**5 + 1\/6*m**3 + 0*m**4. Let s(k) = 6*k**3 + 5*k. Let l = 8 + -12. Determine l*s(n) + 20*d(n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**4\/12 - 7*g**3\/6 - 3*g**2 - 2*g. Let f be h(-5). Solve -2*i = -f*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -560*v**5 + 11*v**2 - 17*v wrt v.\nAnswer: -33600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c (base 14) in base 4?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003448403 to six dps.\nAnswer: 0.003448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 0. Suppose 4*a - a = -q. Let g be 2\/7 - (-4)\/(-14). Which is greater: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*sqrt(27)*-6)**2 + (sqrt(144)\/(sqrt(24)\/sqrt(2)))**2).\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15830107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-46)\/6*(-6 + 0). Let q = -15 + 5. Let p = q + i. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-15) + (-8 - (-190)\/25). Let p(j) be the second derivative of 1\/10*j**5 + 0 + 0*j**3 + l*j**2 + 10*j + 0*j**4 + 1\/15*j**6. Factor p(g).\nAnswer: 2*g**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -215 - 425520?\nAnswer: -430135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 48956 = 3*i + 2*j, -12234 = i - 2*j. Let f = -5838 - i. Round f to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 445, 0, 49 in decreasing order.\nAnswer: 445, 49, 25, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.7, 0, 2\/9, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 0.04073?\nAnswer: 0.04073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(-102))\/(((-3)\/9)\/((-7)\/(-63)))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 35, 55, -4, -1, 1 in ascending order.\nAnswer: -4, -1, 1, 2, 5, 35, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2010 (base 3) to base 2\nAnswer: 111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -10, 5, 6 in ascending order.\nAnswer: -10, -4, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6666, -6731, -6846, -7017, -7250?\nAnswer: -7551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195358*18.\nAnswer: 3516444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1530*t + 4619*t**2 + 3954 - 7910 + 3956 wrt t.\nAnswer: 9238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 4369039.\nAnswer: -3\/4369039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96 - -113. Let q = -12 + h. Suppose 9 = 5*y + 4*a - 26, -3*a = -q*y. Let r(u) = u**3 - 2*u**2 - 4. Give r(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 290511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1360033 (base 9) to base 7\nAnswer: -6233466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*u + 224 - 284. Sort u, -1, -41 in increasing order.\nAnswer: -41, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, -20, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 + 0.022\nAnswer: -1.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, x: 4, b: 2, t: 2}. What is prob of sequence bbg?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 625733\/45 + -13906. Find the common denominator of n and 109\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.69 and 908.\nAnswer: 1534.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -80, -2\/7, -26 in increasing order.\nAnswer: -80, -26, -2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 - 221*d\/3 - 146.\nAnswer: -(d + 2)*(d + 219)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*y - 5*y + 3*y + (-2 + 2 - 2*y)*(1 - 2 - 1) - 3*y + 5*y + 2*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 - -75. Solve 0 = -0*b - b + s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.441438 micrograms in milligrams?\nAnswer: 0.005441438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*l - 38*l + 7 + 89 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 13. Let j be (-2)\/w + (-306)\/(-15). Suppose 0*b + 5*b = 700. Calculate the highest common divisor of j and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 4 - 4)*(7*v**3 - 34*v**3 - 198*v**3) as a*v**3 + n + o*v**2 + h*v**4 + c*v and give h.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 11*h - 33. Let m(q) = -5*q + 16. Let v(r) = 9*m(r) + 4*y(r). Is v(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*x**6 + 51*x**5 - 8*x**3 + x**2 + 23090*x wrt x?\nAnswer: -480*x**3 + 3060*x**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -2*r**3 - 25. Let m(q) = 8*q**2. What is z(m(p))?\nAnswer: -384*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8233244?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmnw when four letters picked without replacement from wdmwtwdtwtwnwdmmtw?\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 1395590225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q - 7*a - 24 = 29*q - 8*q - 3*a, -31 = -19*a + 7 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15974 is divided by 5322.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 19 = -1. Suppose -m*a + 9 = k, 4 + 5 = a - 2*k. Suppose -a*x - r + 52 = 0, -5*r + 13 = 38. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9219996.2822987 - 9219997. Let c = s + 0.797711. Let n = -0.08 + c. Round n to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**1)**7*(f**(-2))**5)\/((f\/f**(-2))\/f**(-5)*(f**(1\/2))**(1\/5)) assuming f is positive.\nAnswer: f**(-41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20015, 80053, 180115, 320201, 500311?\nAnswer: 720445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 2\/3*u**3 + 2*u - 3\/2*u**4 + 135 + 1\/2*u**2. Give z(2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-703)\/(-19) + -31 + 230\/(-38).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 4*c**2 - 3*c - 5. Let s be i(-5). Let t = -17 - s. Is ((-52)\/(-5))\/(t\/(-5)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 12:32 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5332?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -38503899300 to the nearest 1000000.\nAnswer: -38504000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - 83) + 36 + -1 - 30\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1815, 3629, 5443, 7257, 9071, 10885?\nAnswer: 12699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120 + -11?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/20 (b) -1 (c) 12\/5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/23 at least as big as -2672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 7.0600004546?\nAnswer: -6.5600004546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/(-924)*156\/(-455).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from yygyggoivvy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1296 and 208080.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.8 + 0.8. What is the nearest to w in 3, -3\/7, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1395\/13 + 1008\/65. Let r = 440 + -531. Is c bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iynnnhyrayiy. Give prob of picking 1 n and 1 a.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 11*b + 11. Determine g(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1635\/7 + 234. Let n = 5\/6 + -1\/3. Sort h, -4, 1\/4, n in increasing order.\nAnswer: -4, 1\/4, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afai when four letters picked without replacement from iiaaf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1654*u**2 + 661*u**2 + 30*u**2.\nAnswer: 2345*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 1, e: 1, k: 1, n: 2, v: 1, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = 3*y - 6*y + 3*k, y + 4*k = 80. Suppose -y*m + 12 = -56*m. Sort 4, -1, m, 13 in ascending order.\nAnswer: -1, m, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.1, -0.053, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8842856 divided by 136?\nAnswer: 65021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 30 + 74 = 4*o, 4*q = o - 33. Let y = -21 + o. Calculate the highest common factor of 6 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjs when three letters picked without replacement from sjsjsssss.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*g**2 - g - 3*g - 11*g**2 + 6*g**2 as a*g**2 + x + q*g and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**6\/480 - t**5\/80 - t**3\/2 - 9*t. Let c(h) be the second derivative of p(h). Factor c(q).\nAnswer: 3*q*(q - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*q = -0*g - 16, 2*g + 3 = -q. Let s = -2.88 - -2.68. Sort s, 0.4, 2\/13, g in decreasing order.\nAnswer: g, 0.4, 2\/13, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/34 (b) 1\/4 (c) -152 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6*(-1260)\/2730)\/(9\/(-3))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 12:04 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1053949, 1053953, 1053957?\nAnswer: 1053961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -315 + -3?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4 = -5*y - 0*l, 3*y + 2 = -2*l. Does 10 divide (23 + 1 - 3) + y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7558 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -1.29\nAnswer: -0.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/359 >= 3\/195784?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2832*q**2 - 3 + 3 + 2824*q**2. Let u(m) = 2*m. Let z(j) = -j. Let f(g) = -3*u(g) - 4*z(g). Give c(f(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*1*7\/((-133)\/(-19)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/855 and -67\/12.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 4 - -4) + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 13*j**2 + 58*j + 20. What is the remainder when c(7) is divided by 49?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 69305100 to the nearest 100000.\nAnswer: 69300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 54 = 2*v, -6157*w + 6155*w + 13 = -v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -170159 - -170195.99872. Let c = -23 - 14. Let k = d + c. What is k rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*y**3*z**4 - y**3*z**3 + 123*y**3*z - 8*y**2*z**2 + 28*z**5 wrt z.\nAnswer: 96*y**3*z - 6*y**3 + 1680*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6) + 39\/9. Suppose -5 = -k*l + 7. Let f = -6 - -12. Calculate the remainder when f is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -29.5. What is the nearest to -1 in p, 2, 6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 55a + -d?\nAnswer: 54c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 3 + 3 - 7 + 4*z + 7 + (6 - 3 - 2)*(3*z - 2*z + z) + 3*z - 3*z + z - 2*z + 6*z - 2*z to the form x*z + y and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -42, -106, -188, -282?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 35. What is the common denominator of 77\/8 - -1 - 0 and (-92)\/66*21\/q?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1847*m + 10469. Give z(-7).\nAnswer: -2460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 37. Which is the smallest value? (a) 2\/7 (b) -4 (c) o (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4 - (0\/3 + -82)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**3\/4 - 160476435*z**2\/4 - 320952861*z\/4 - 160476429\/4 = 0.\nAnswer: -53492143, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 3:08 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1917 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/28)\/((-2*18\/336)\/((-67)\/134)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i + 6. Calculate the remainder when f(-10) is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*b + 2*b**3 - 20 + 11*b - 23*b**4 - 1 - 9*b wrt b.\nAnswer: -276*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6 - -30.4. Let y = t - 24. Which is the third smallest value? (a) 0.1 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37\/40 - 19\/24. Put -4, 1.5, c in increasing order.\nAnswer: -4, c, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -745928.486 rounded to the nearest one hundred?\nAnswer: -745900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 4*l**2 - 10*l - 10. Give u(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.07785 - 39.07445. Let d = 37 + o. What is d rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 450 = -20. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10746 or -10747?\nAnswer: -10746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 388*i**2 - 3*i - 2. Let k be w(-1). Let x = k + 251. What is x rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - 4*i**2 - i**2 + (2*i + 2*i - i)*(-4 + 4 - 2*i) + (-2*i - 2 + 2)*(-2 + i + 2) + 3*i**2 - 6 + 6.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 + 13)*(-10 + 0 + 23*o - 26*o).\nAnswer: -57*o - 190","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.971 + -152.741. What is z rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 10*r = 6*r - 10, 5*r + 20 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504*g - 491*g - 6266 = 0. Calculate the smallest common multiple of 7 and g.\nAnswer: 3374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.3, 16, 0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pno when three letters picked without replacement from oopoopjnonjpnno?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 2, 0, -6\/11, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + -3. Let p be (-2)\/(-8) - 500\/16. Let s = 27 + p. Which is the second biggest value? (a) s (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -2.102, 32.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrxoxoo. Give prob of sequence xo.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25244, -97711, -217396, -384299, -598420?\nAnswer: -859759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)*b**(-1\/4))\/(b**5\/(b**0\/b))*(b*b**(1\/4)*b)**15\/(((b\/(b\/(b\/((b*b*b**(-5))\/b*b))))\/b)\/((b*b**4\/b)\/b*b)) assuming b is positive.\nAnswer: b**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l*w**3 - 5*l*w**2 - l*w + 10575*l - 7*w**3 + 14*w**2 - 2 wrt w.\nAnswer: -6*l*w - 10*l - 42*w + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4455938 and 196598.\nAnswer: 4652536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3740 divided by 2?\nAnswer: -1870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 542994179?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*m**2 - 86*m**2 + 27*m**2 + 31*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**14\/(r**(-22)\/(r*r\/((r\/r**(-2))\/r*r)*r)) assuming r is positive.\nAnswer: r**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + 1 + (-897)\/(-13).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-80)\/(-12)) + (-160)\/30.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 22087?\nAnswer: -22083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -25. Suppose 34 = -0*w + f*w. Find the common denominator of 53\/8 and 84\/(-18)*w\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74 + 83. Does 56 divide 2519\/h + 2\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/9 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 15025?\nAnswer: -15033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 27188\/(-54376)*((-81)\/30)\/(1\/5*2)\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1385431 - -9670214\/7. Let m = s - -2112931\/532. Let v = m + 3\/76. Put -3, -2, v, -1.2 in decreasing order.\nAnswer: v, -1.2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04371 less than -66906334?\nAnswer: -66906334.04371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (6\/3 - 3). Let y = 0 + 2. Let c(t) = 3 - 5*t**2 + 5*t**2 + y*t - t**3. Determine c(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(119) + 6*(sqrt(119) - (((sqrt(119)*-1 + sqrt(119) - sqrt(119)) + sqrt(119) - sqrt(119)) + sqrt(119))))\/(-2*(2*sqrt(252) + sqrt(252))).\nAnswer: -11*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = w, 9*z = 4*z + 3*w + 9. Let r be z\/(-9) - 211\/(-3). Suppose r = 5*h - 10. Calculate the remainder when 46 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 9 = 3*j, -4*j - 8*h + 13 = -3*h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3024999 less than 3024999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12919*b + 2*w - 13 = -12922*b, -25 + 8 = 9*b - w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 52, 2.\nAnswer: -4, 2, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 282 - 280. Suppose -4*o = 3*v - o, -v - 5*o = 0. Suppose v = -n*g + 3*g - 2. Solve 2*t + g*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 2441 (b) -1 (c) 5 (d) -1\/5 (e) 4.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 499 + -501. Let o(b) = -8*b - 1. Calculate o(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 3*r + 7. Determine k(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**5 - 2425*g**4 - 727675*g**3 - 1443175*g**2 + 727670*g + 1445600 = 0. What is g?\nAnswer: -208, -2, -1, 1, 695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 490 = -18*b. Which is smaller: b or -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w + 2*h = -17, w + 4*h = 15. Suppose p - 2*f + 4 = -w*f, 5*p + 4*f = 64. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, e: 3}. What is prob of sequence ef?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, n: 2, b: 5}. Give prob of sequence bvnv.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 + 4*u**2 + 23 - 27 + 0*u**3 + u**3 as r*u**3 + q*u + v*u**2 + s and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from {d: 2, l: 3, i: 6, y: 5, c: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 117, 118, 119?\n\"Answer: s + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2423 - 2422.9996006. What is y rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26677345 is divided by 1050.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**7\/420 + a**6\/90 - a**4\/4 + 4*a**2. Let l(y) be the second derivative of o(y). Find the second derivative of l(k) wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 7) + 0 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-46 - 31*q + 46)*(3*q - 3*q - 3*q**2).\nAnswer: 93*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 3*d + 4*z, -3*d + 8*d - 13 = 3*z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71969689 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -84 (b) 27 (c) 2 (d) 4.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13783673, 13783602, 13783483, 13783316, 13783101, 13782838?\nAnswer: 13782527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -203 (base 4) to base 6\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 234903979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2)*w)\/(w**3*w*w)*(w**0*w)**6*w**(3\/7)*w*w**(1\/2)\/w*(w*w**(-1\/2)\/w*w)**34 assuming w is positive.\nAnswer: w**(136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14350 and 91840.\nAnswer: 459200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2381067 litres?\nAnswer: 238.1067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 145\/10 + 7\/14. Suppose -6*r - y = -11*r. Let o(k) = -3*k**2 + 2. Let i(n) = 4*n**2 - 3. Determine r*o(g) + 2*i(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -129 in ascending order.\nAnswer: -129, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -78, -164, -260, -366, -482?\n\"Answer: -5*s**2 - 71*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -2\/13 (c) -6 (d) 3\/7 (e) -1.44 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 - 4*a**2 + 5*a - 2. What is l(3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -363\/5 - -73. What is the second smallest value in 2\/13, 4, 6\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10075300 rounded to the nearest ten thousand?\nAnswer: -10080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*k**2 - 10*k**2 + 18*k**2.\nAnswer: 37*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 6:27 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -12 (c) -0.04 (d) 0.1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Suppose l = -x - 2*x + 6. Find the third derivative of 3*n**2 - 4*n**5 - n**x + 2*n**5 wrt n.\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23.1, -2\/2837, 58?\nAnswer: 23.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**4\/12 + w**2\/2 - 2*w. Let b(s) = 2*s**2 - 3*s - 6. Let n be 12 - (10354\/668 + 18\/(-4)). Give n*b(l) + 4*o(l).\nAnswer: -2*l**2 - 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24471876, -48943754, -73415632, -97887510, -122359388?\nAnswer: -146831266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 3*s + 34, -3*b + 4*s + 31 = -s. Let f = b - 4. Suppose -28 = -n - f*x - 11, x = 3*n - 31. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 11 + 1 = -2*z, 4*f - 8 = -5*z. Suppose -4*c + 5*t = -4, z*c - 2*c - t = -16. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43896400 is divided by 198?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 8643120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/2)\/((-6)\/444). Let r be 2\/6 + j\/9. Let f be (-3)\/9 - (-8)\/r. Is -1.1 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 12\/7 (c) -1 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 11 - 17. What is the first derivative of -711*i - 26*i**2 + 711*i - 8*i**b - 24 wrt i?\nAnswer: -68*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 9*s**2 - 10*s - 12. Let n be x(-8). Suppose 2*u + 4*a - 18 = 0, -n*a + 7 = 5*u - 56. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1407.43 + 66.57. Which is the biggest value? (a) -1\/2 (b) s (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - 4*t + 4. Determine g(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**1\/q))**20\/(q\/q**0*q**3) assuming q is positive.\nAnswer: q**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -76 * 5268130.\nAnswer: -400377880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Let q be 19\/7 - (-6)\/21. Let f be ((-3)\/q)\/(0 - 2). What is the second biggest value in 0.4, f, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-3\/2)\/r*r*r**(1\/13)*r)\/(r**(-2\/7))**(-7) assuming r is positive.\nAnswer: r**(-37\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.007 or -2\/5?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 21) + (20 - 21 - (24 + 3))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -474066, -948125, -1422180, -1896231, -2370278, -2844321?\n\"Answer: 2*y**2 - 474065*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20714462*c**4*g + 2*c**3*g**2 - 10*g**2 + 192599*g wrt c.\nAnswer: 82857848*c**3*g + 6*c**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (413\/(-295))\/(8\/(-80))*(-2)\/(-4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**3 - 2*o**2 - 2*o + 164. Let l(m) = -3*m**3 - 3*m**2 - 3*m + 166. Calculate 2*l(t) - 3*n(t).\nAnswer: 3*t**3 - 160","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**7\/1260 + j**6\/120 - j**5\/30 - j**4\/12 + 2*j**2. Let w(s) be the second derivative of m(s). Determine p so that w(p) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n + 3. Is k(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = i - 9337293. Let f = 5537293 + i. What is f rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-5)\/240*-488)\/4 and -45\/184.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -4*q + 65, q - 80 = 2*w - 8*q + 65 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or -134\/9?\nAnswer: -134\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (500\/(-70))\/((-40)\/140).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*q + 68*q + 70*q + 63*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**3 - 1\/2*a**4 + 0*a**2 + 0*a - 1. What is the third derivative of p(m) wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 996*d + 274904. Give g(-276).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(1900)*2 + sqrt(1900) + (sqrt(1900) + -2 + -5)**2.\nAnswer: -50*sqrt(19) + 1949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -190 - -193. Suppose -3*j + 811 = 5*l, -z*l + 2 - 5 = 0. Calculate the least common multiple of j and 18.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28188 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 + 3*c**2 + 1\/2*c**3 + 11\/2*c.\nAnswer: (c + 1)*(c + 2)*(c + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -12. Suppose 0 = o*a - 2*h - 802, -3 = -2*h - 1. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 26 + 29. Suppose -g + 10 = 5*b, 96 = 3*g + 2*g + 2*b. Let f = g + c. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**2 - 1 + 1 + (3 - 1 - 3)*(6*p - 6*p + 12*p**2) - 3*p**2 + 15*p**2 - 13*p**2 as x*p**2 + n*p + k and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (6 - -4 - 19).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830400 rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -83\/4, 0.01, 1\/4 in increasing order.\nAnswer: -83\/4, 0.01, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = -2*f. Let m be (2\/4)\/(1\/10). Let l = 63 + -63. Solve -3*a = -t - 1 - 0, -f*a - m*t - 5 = l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1592781310 to the nearest integer?\nAnswer: 39910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 20*q**2 + 17*q**2 + 11*q**2 - 60*q**2 + 13*q**2. Let b(x) = -x**2 + 49*x. Calculate b(w(a)).\nAnswer: -a**4 + 49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (281\/2)\/((-31)\/62)*-1. Let t = a + -273. Let i(s) = 18*s - 4. Let y be i(6). Calculate the greatest common factor of t and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 5*h**2 + 5*h - 2. Let v = -4 + -2. Let p be y(v). Suppose 0 = 4*z + p*l - 140, -5*l = -5*z + 193 + 2. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9522112529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11926, -11818, -11728, -11662, -11626, -11626, -11668, -11758?\nAnswer: -11902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 651421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1312 + 24?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365421833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 7 - 3 - 2 + n to a*n + r and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-567)\/(-63) - ((-1)\/(2\/119592) - -3).\nAnswer: 2, 3, 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 5*f**2 + 3*f - 4. Let k be u(-4). Suppose k = -2*g + 4*g + 6240. Let h = g - -21785\/7. What is the common denominator of h and 19\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -0.2, 4\/3, 3\/4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 12. Suppose 0 = 29*x - 1596 + 1538. What is the closest to x in -4, y, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**2 - 5 - 8 + 13.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.22 - 0.32. Let o(w) = -5*w**2 + 1. Let h be o(1). Which is the third biggest value? (a) -5\/4 (b) d (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/6*-12*(-8)\/(-64)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**2 - 10*u - 10. Let v(z) = -2 + z + z + z**2 - 6*z + 2*z. Calculate 2*i(f) - 11*v(f).\nAnswer: -f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + 5*i - 4*i + 5*i + 80 - 2*i + 0*i to the form w*i + x*i**2 + y and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 - 3*o**2 + o + 1. Let z be c(2). Let h = z - 3. Solve 0 = -5*u + 2*u, 4*b + h = 3*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1633 + -36?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 17*f**2 + 9*f - 9. Let v(y) = -4*y**2 - 2*y + 2. Let d(a) = -2*o(a) - 9*v(a). Let l(j) = 6*j**2. Calculate d(l(c)).\nAnswer: 72*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 330\/(-198) - 1\/3. Sort k, 1, -3079.\nAnswer: -3079, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.42105 to three decimal places.\nAnswer: 1.421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*z**3 - z**3 + 115 - 73 + 25*z**2 wrt z.\nAnswer: -3*z**2 + 50*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -44, -132, -262, -434, -648?\n\"Answer: -21*k**2 - 25*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58498887?\nAnswer: 3, 17, 29, 37, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(0 + sqrt(432)*-2) + (sqrt(162)*-2)\/(sqrt(6) + sqrt(96)*-2 + sqrt(6) + sqrt(6)).\nAnswer: -354*sqrt(3)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12290 is divided by 614?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280826560 and 38984?\nAnswer: 3089092160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 7*y. Let m be g(6). Suppose 6*q + 3*q - 135 = 0. Let b(u) = -u**3 + 11*u + u**2 - q*u - 7 + 8*u - 6*u**2. Give b(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 14. Suppose 4*o - 40 = -r*o. Calculate the highest common factor of o and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 140*y**2 - 13*y**2 + 7*y - 23*y + 16*y. Let v(w) = w**2. Give v(c(f)).\nAnswer: 16129*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*p**5 + 2141*p**4 + p**2 - 612733*p wrt p?\nAnswer: -200*p**3 + 25692*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 360105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -183 - -0.071.\nAnswer: -182.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52854, -211437, -475756, -845823, -1321650?\nAnswer: -1903249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.3 (b) -6 (c) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gffofgg. What is prob of sequence gofg?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + d - 12. Give q(-6).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.21 + 4.7086. What is p rounded to two decimal places?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110 + -100. Solve 3*p + u = 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.46236 and -0.841.\nAnswer: -1.22984476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.41575 and -5314927.\nAnswer: -5314926.58425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l**2 - 16. Let p(f) = -f**2 - 3. Let w(i) = 16*p(i) - 3*s(i). Let b(j) = 2 - 2*j + 0 - 2. Determine b(w(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = -468*w + 460*w + 3 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - -10. Let s = w - 26. Let l(t) = -t + 2. Let a be l(0). Solve 14 = 2*j - a*h, 2*j - 9 - s = 3*h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -106 + 3*f**2 + 3*f + 3*f**2 + 49 - 3*f**3 + 51 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9873 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4 + 65052*s**3 - 2209454*s**2 - 65052*s + 2209456 = 0. What is s?\nAnswer: -1, 1, 34, 32492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q. Let b(s) = 170*s**2. What is w(b(l))?\nAnswer: 170*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -20421 less than or equal to -20420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -808 greater than or equal to -10512\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5284 - 3394. What is the lowest common multiple of 60 and o?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1246?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7018 - -21215. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*z + 18*z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -24, -5, 0.3, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 7*i**2 + 12*i + 36. Let o be s(-6). What is the nearest to o in 2\/5, -2, -0.3, -18?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 949*n**3 + 10*n**2 - 16*n - 5. Let b(t) = -t**3 + 2*t**2 - 3*t - 1. Let r(z) = -5*b(z) + h(z). Let s(k) = -k + 1. Let q be s(0). Is r(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*y = -y - 4, -2*y = 5*d - 17. Let b = 17 - 12. Suppose m - 3*m + 17 = z, -b*z = m - 4. What is the highest common divisor of m and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -2*w**7\/21 - 58*w**6\/15 - 106*w**5\/5 - 154*w**4\/3 - 202*w**3\/3 - 50*w**2 + 7*w - 29. Suppose z(f) = 0. Calculate f.\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 19*s - 55. Let o be f(3). Suppose 5 = -o*m - 3*n, n = -6*m + 4*m + 1. What is the smallest common multiple of 990 and m?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4032) + sqrt(4032) + -2*sqrt(4032)*3 + sqrt(4032) - sqrt(4032))\/(1*4*sqrt(36)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -5 - 3) + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -27. Let q(h) = h**3 + 6*h**2 - 9*h - 10. What is the smallest common multiple of c and q(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 66 = 4*s - 59, -s = 2*m - 35. Solve 1 = o - 4, -s = -5*a - 5*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14852811.\nAnswer: 3, 4950937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -5\/108*r**4 + 0*r - 2\/45*r**5 - 2*r**2 - 1\/540*r**6 + 4\/945*r**7 + 2\/27*r**3 + 0. Solve y(t) = 0.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1368849465?\nAnswer: 3, 5, 101, 301177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*z**3 + 1 + (228*z - 228*z + 28*z**3)*(-4 - 1 - 3))*(-5*z - 2*z + 4*z) to the form g*z**2 + i*z**3 + v*z + d*z**4 + p and give d.\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(-4*b + 2*b + 23*b) + (5*b + 0*b + b)*(3 - 4 + 3).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1095 (b) -3 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34, 22, -68, -272, -626, -1166, -1928, -2948?\n\"Answer: -6*x**3 - 3*x**2 + 39*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4482030 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, r: 2, g: 2, u: 1, e: 1}. What is prob of sequence rk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q**5\/3 + 34*q**4\/3 + 32*q**3\/3 + 8*q**2\/3 = 0.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**0*g**(-3)*(g**(1\/4)\/g)**(-36)*g**(-1)\/(g\/((g*g**(6\/11)*g)\/g)*g)*g**(1\/8)*g\/g**7 assuming g is positive.\nAnswer: g**(1467\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25414907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k = -24*k - 205. Let w = k + -20. Find the second derivative of -24*y - 18*y**3 - w*y**3 + 37*y**3 wrt y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.6 + 0.0210635446.\nAnswer: -3.5789364554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*z + 27*z - 38*z)*(-6*z**3 - 4*z**3 - 2*z**3).\nAnswer: -852*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - w**3 + (0*w - 3*w + 2*w)*(4*w**2 - 6*w**2 + 4*w**2) + 0*w**3 - 4*w**3 + 6*w**3 + (22*w - 15 + 15)*(-58 + 58 - 32*w**2).\nAnswer: -705*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -993890384*d + 3 + 993890384*d + d**2.\nAnswer: d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1584)*3.\nAnswer: 1 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -163112 greater than or equal to -163111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99 - -106. Let x = 59 + r. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c + 12. Let g be (-21)\/c*3\/7. Let w = g + 5\/2. Sort -5, -4, w in increasing order.\nAnswer: -5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdz when three letters picked without replacement from cedcddczzteezccdddxc.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 1 - (-52 + (51 - -8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 5 - 2)*(1 - 4 + 1) - 1 - 2 + 2 - 3 + 3 + 2)*(-1 + 1 + 1)*(-q + 0*q + 0*q) to i + l*q and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0*b**5 + 0*b**4 - 1\/30*b**6 + 1\/3*b**3 + b + 0 + 0*b**2. Find the second derivative of w(o) wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and (-82233)\/(-189) - 6\/63.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 99 = -3*a. Let c = -67 - a. Let p = -8 - c. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 divided by 18402\nAnswer: -113\/18402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4855 - 4858. Which is the second smallest value? (a) k (b) -26 (c) 6 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/(-5*2\/6)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h + 30. Let m(p) = -4*p**2 + 126*p + 18. Calculate l(m(y)).\nAnswer: 16*y**2 - 504*y - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -128946 * -8965.\nAnswer: 1156000890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 0, 0 = -2*c - 10*w + 9*w + 4. Solve 6*z - z - 19 = c*x, 0 = -4*x - 2*z - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171414?\nAnswer: 2, 3, 89, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 4*f + 0*f)*(-79896 - 2288*f + 79896).\nAnswer: -4576*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 1009*h + 32 = -1012*h, -3*q = 3*h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/10 - 0 - 6\/10. Sort p, -14, 2, 12 in decreasing order.\nAnswer: 12, 2, p, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - bb4?\nAnswer: -bb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2232 times 0.5?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2336390, 4672782, 7009174?\nAnswer: 9345566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 + 16*y**2 - 6*y**3 - 16*y**2.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukukhkkuhd. What is prob of picking 1 k and 1 h?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90544 is divided by 90507.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/2615 - -149048\/18305. What is the common denominator of (-630)\/24 - 12\/(-16) and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/63 + (-47163)\/(-1659) + -32?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*c - 64673*p + 101 = -64670*p, 2*c - 5*p - 101 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 0 - (-7 + 8) - -17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 954 is divided by 758.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 181393 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 121*j + 1 - 7 + 5.\nAnswer: -121*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 39244551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -67313079 and 59.\nAnswer: -67313020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 158047 + 741116 = -3*f. Let a = f - -2684027\/9. Let h = -1491 - a. What is the common denominator of h and 16\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82681, 82676, 82667, 82654?\nAnswer: 82637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from oooooooovoovoooooo?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1454 (base 12) in base 13?\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5447740841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2043 - -7365. Let l = 8921 - f. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -30420a?\nAnswer: -304207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42585 or -42584?\nAnswer: -42585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/2*(-66 - -4). Let s = -225 - j. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**15*a))**(-13) assuming a is positive.\nAnswer: a**208","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 5*u + u)*(3*u**2 - 4*u**4 - 3*u**2 + 2*u**4 + 3*u**4 - 3*u**4 + (-3 - 2*u + 3)*(5*u**3 + 3*u**3 - 4*u**3)).\nAnswer: -10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*7\/(-6)*2. Let p(h) = 10*h**3 + h**2 + h. Let r be p(-1). Let c = k + r. Solve 4*b + 4*q + c = 0, -4*b - 28 = -4*q + 2*q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-3))\/((-11)\/33). Let r(m) = -m**2 - 2. Let c(s) = -3*s**2 - 25. Let x(h) = c(h) - 4*r(h). Let o be x(v). Which is greater: -4\/9 or o?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11244100 (base 6) to base 8\nAnswer: 1250104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, d: 2, k: 7}. What is prob of picking 2 k and 1 d?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 = -6*z + 98. Let o = -27 - z. Solve 7*y = 3*y + o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 123.\nAnswer: 5\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10258077 - 5?\nAnswer: -10258082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + -10 + (-15)\/(-4). What is the closest to g in 4, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -276523.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 16 + 2)*(-76*i + 195*i + 98*i).\nAnswer: -2387*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-3)\/(-18))\/(1\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2 - 9*d\/5 - 4\/5 = 0 for d.\nAnswer: -1, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100 - -1011?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119552?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**2 - 26*m - 33. Let y(w) = 3*w**2 - 15*w - 17. Determine -4*x(a) + 7*y(a).\nAnswer: a**2 - a + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(720))\/(2*(sqrt(9) + sqrt(36)\/sqrt(4))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11, -8, -3, 4, 13, 24?\n\"Answer: l**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -3)*(-66)\/(-12). Let k = x - 9. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -234 + 390. Let t = j + -151. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5\/4 + 7*u**4\/4 + 9*u**3\/2 + 5*u**2 + 2*u = 0. What is u?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**4\/24 - l**2. Let g(h) be the second derivative of -5*h + 7\/6*h**3 + 0 + 0*h**2. Calculate g(n(c)).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -1.3 (c) -7 (d) -5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2656 and 12118?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 - (-4)\/6. Suppose 4*z - 2*l - 8 = 0, 0 = z - 3*l - j + 8. Let q = -8 + 20. What is the least common multiple of q and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 98?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**3 - 14*k**2 - 6*k + 6*k**2 + 2 - 7 - 6*k**3 + 2*k**3. Give i(9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28882 + -4?\nAnswer: -28886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12a3 + -61?\nAnswer: -1354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -4)\/(((-4)\/10024)\/1). Calculate the highest common divisor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -124660464 - -2?\nAnswer: -124660462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-6\/11)*u**(1\/19)\/u*u*u*(u**(2\/3))**(-1\/3) assuming u is positive.\nAnswer: u**(4469\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -188 - -126.0906\nAnswer: -61.9094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 10 + 0 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gguwguugrvggv. What is prob of sequence urwu?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 182*q + 3463. Let i be o(-19). Solve 2*k + 5*c + 19 = 0, -2*k + 5 = -8*c + i*c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 210\/10)\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**6\/120 + p**5\/60 - p**2\/2 + 3. Let n(i) be the second derivative of h(i). What is the third derivative of n(o) wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q - 8. Let r(s) = 2*s + 4. Let p(w) = 4*k(w) + 9*r(w). Determine p(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -2 - 26399\/3*k**3 + 2*k**2 - 5*k. Let c be d(-5). Round c to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 12*r**2 + 10*r + 17. Calculate p(-13).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 10*r**2 - 5*r - 18. What is the units digit of w(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i - 16*i**2 + 5*i - i**2.\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.078 + 33.078. Let m = 32.999981 - q. What is m rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*(-126)\/1872*(-13)\/(-91).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 5:38 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**0)**48)**18)**(-2\/13) assuming j is positive.\nAnswer: j**(-3456\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-1 - 0) + (-20 - -15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 521 + 823. Suppose 4*o - 3608 - d = 0. Suppose 4*u - o = 5*a, u - a = -2*u + 755. Does 44 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267571735679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/17)\/h)\/h*h*h**6*h)\/((h*h**(-7)\/h)\/((h\/h**(-5))\/h)) assuming h is positive.\nAnswer: h**(307\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3020694 by 29.\nAnswer: 3020694\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(800) - sqrt(800)*-2)**2 + 4) + (sqrt(400)*-2*1)\/((sqrt(48)*2)\/sqrt(6)).\nAnswer: -5*sqrt(2) + 21612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/45 + 5\/105. Suppose 3*q = -2*v + 2*q - 4, 2*v + 2*q = 0. What is the nearest to g in v, 2\/7, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23624 = -18*l + 282698. What are the prime factors of l?\nAnswer: 37, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 39. Let o(v) = 11 - v**2 - 13 - v**3 - 2*v**2 - 407*v + 414*v. Determine o(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -4 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0 - 7) + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 3*a + 21. Let i be z(-13). Let k = i - -103. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 0*i**2 - 47 + 1\/12*i**3 + 41*i + 1\/6*i**4 + 3\/40*i**5. Let r(z) be the first derivative of h(z). Factor r(s).\nAnswer: s*(s + 1)*(3*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/312)\/((-25)\/(-45))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/10*11\/187.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -31*f**3 - 341*f**2 - 11*f - 279. What is l(-11)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0286571308661 and 4.\nAnswer: 3.9713428691339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 27*q**2 + 11*q. Suppose -67*k = 278 - 2154. What is the thousands digit of y(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -6)*((-308)\/(-49) + -6). Suppose -7*m = x - 2. Solve 4*s - 20 = -m*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 - 10) + 1792 + -77 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89 (base 12) to base 5.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**5\/20 + 13*u**4\/12 - u**3\/6 - 4*u**2 + 9*u. Let q be k(-13). Solve -q*x = -5*i + 5, x = 2*i - 2 - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o + 2 = 98. What is the third derivative of 9*y**3 + 19 - 1581*y**4 - o*y**2 - 1583*y**4 + 3167*y**4 wrt y?\nAnswer: 72*y + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 1415 = 1165. Suppose 3*i - h = -2*i. Calculate the remainder when i is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 4097 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120 - 62. Calculate the remainder when 279 is divided by p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26945821?\nAnswer: 7, 43, 89521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-24)*(-32)\/208 + 76\/120?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k + 7. What is o(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 925855297 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from {n: 1, s: 1, l: 2, p: 10, e: 3}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 22 - 212363*i**3 - 1.\nAnswer: -212363*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**4\/8 + v**3\/6 + v**2. Let h(p) = p**2 + p + 7. Let l be h(-3). Is i(l) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -4 (b) 10 (c) 3 (d) 2\/11 (e) -2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b + 0*b**2 + 2*b - 4*b**2 + 11*b**2 wrt b.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 264\/20*375\/(-150)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7155 + 6?\nAnswer: -714a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4 + n**3 - 4*n**2 + 0*n**2 - 2*n**3 - 4*n. Let f(z) = z**3 + z**2 + z + 1. Suppose -8 = 14*a + 6. What is a*j(l) - 4*f(l)?\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -1, 125, 6, 2 in descending order.\nAnswer: 125, 6, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136534472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 20, -2*k + z + 464 - 160 = 0. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.7, 2\/7, -1\/8, 1\/2.\nAnswer: -4, -1\/8, 2\/7, 1\/2, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306 and 2538?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7}. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14157*g = 14239*g - 1394 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**3 + t**2. Let w be i(1). Suppose 3*n + 4*j - 20 = w*j, -4*j = -5*n + 45. Suppose -2*m + 1 = -9. Calculate the least common multiple of n and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 422 - 0.027\nAnswer: 421.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -312 + 2180\/7. Sort 15, i, 0 in decreasing order.\nAnswer: 15, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdpppdpppddppd. What is prob of picking 2 p?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1428, -2789, -4160, -5547, -6956?\nAnswer: -8393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -1, 1, -345 in ascending order.\nAnswer: -345, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6 = -0*v. Let k = -0.3 + 0.4. Which is the closest to v? (a) -5 (b) k (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3528 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 440 - 329. What is the remainder when f is divided by 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 81*x**2*y**3 - 4*x**2 + 650*y**3 wrt x?\nAnswer: 162*x*y**3 - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -19.3. Let s be 488\/(-90) + 6 + -4. Let x = s + 38\/9. What is the smallest value in -2, i, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*w**2 - 3*w**2 + 4*w**2)*(4*w - 6*w + 4*w) - 4*w**3 + 5*w**3 - 2*w**3)*(4 - w + 3 - 2*w).\nAnswer: -15*w**4 + 35*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**2 + 3*y + 2. Let c(z) = -25*z**2 - 13*z - 9. Let v(r) = -9*b(r) - 2*c(r). What is the second derivative of v(a) wrt a?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -14*n - 27. Let y be x(12). Let w = y + 93. What are the prime factors of ((-90)\/4)\/(17\/w)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sscs when four letters picked without replacement from {g: 3, s: 3, c: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 181426*z**2 + 2293402.\nAnswer: 362852*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/(-6))\/1)\/(((-5436)\/(-27))\/(14\/(-21)))?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 2. Let u = 7.99999997 - r. What is u rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -270489, -541065, -811641?\nAnswer: -1082217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 28. Let h(s) = 10*s - 38*s + 24*s. What is n(h(i))?\nAnswer: 16*i**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18339524?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 15. Let b = 8 + x. Calculate the lowest common multiple of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 2430, 0.2, -8\/19, -3 in increasing order.\nAnswer: -3, -8\/19, 0.05, 0.2, 2430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 27. Give p(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 360\/55 - 30\/55. Let o be (-104)\/(-14) - v\/14. Solve 6*l = o*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2283.\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 47*x + 108. Let z be g(43). What is the hundreds digit of 8\/(z\/(-3192)) + 1*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 212680 = -3*r. Suppose -u = -9*u + r. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 15*w**2 - 10*w - 26. Let h be t(16). What is the greatest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 + 109 - 32 - 77. Let q(p) = 62*p + 7. Calculate b(q(j)).\nAnswer: 11532*j**2 + 2604*j + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1238, 2411, 3454, 4307, 4910?\n\"Answer: -10*v**3 - 5*v**2 + 1258*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n + 18. Let i be c(-14). Let w be (-8)\/18*45\/i. Is 1 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q + 37. Calculate t(-21).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Suppose c = -0*c - 2, l*c = b - 21. What are the prime factors of ((-10)\/b)\/((-4)\/78)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114300 and 1500?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + 1412 - 3575 + 1635 to u*s + j and give j.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2168\/39 + 204088\/3705. Calculate the common denominator of f and (-5)\/(-46 + -284)*407.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 34869660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -i + 125, 14*x - 9*x = -5*i + 225. What is the remainder when 162 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 7*k + 6. Let h be w(6). Sort 2, -3, h.\nAnswer: -3, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 266, 264, 262?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqq. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u - 148. Let a(r) = -1928*r. Give a(i(x)).\nAnswer: 5784*x + 285344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -0*a + 5*y - 125, -4*y + 563 = 74*a + 841 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 12 + 23 + 25*l to the form a*l + x and give a.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**5 + 10*j**4 - 15*j. Let m(w) = w**5 - w**4 + w. Let k(g) = 10*m(g) + p(g). What is the second derivative of k(v) wrt v?\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51153 and 629646.\nAnswer: 631534938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-2) + 28 + -2. Suppose 3*p + 5*f - w = 0, -p + 6*p - 5*f - 95 = 0. Solve 4*u + p = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-4*u + 4*u + 3*u)*((1 + 0 + 1)*(-11 - 2 - 3) + 11 - 4 + 12).\nAnswer: -39*u","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o**2 - o**3 - 11*o + 2*o**3 + 16*o. Let s be b(6). Let q(f) = -3*f - 7. What is q(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -107?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1)*h*h*h**11\/h)**23 assuming h is positive.\nAnswer: h**322","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 14 = -2*c, 2*c - 3*g = -3*c - 3. Let w(x) = x + 6. Let z be w(c). Let b(a) = a**3 - 2*a**2 - 2*a + 4. Let i be b(z). Solve i = -2*l - 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 119 + 7433. Let f = 1468 - u. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.7 + 3. Let k = -316 + 317.83. Let r = l + k. What is r rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 12:08 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(28)\/sqrt(4) + -4) - (sqrt(140)\/sqrt(5))\/sqrt(4))**2.\nAnswer: -8*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74*g**4 + 986 wrt g?\nAnswer: 296*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(156))\/(-3*sqrt(12)*-2) + 4.\nAnswer: -sqrt(13)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**6\/120 + l**5\/20 - l**4\/6 - l**2. Let g be r(-4). Solve 5*q + 2*s = g, s - 2 = -3*q - 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 + 0*h**2 + 6*h**2 + (3*h - 2*h - 2*h)*(h + 0*h - 2*h) to the form r + f*h**2 + n*h and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, t: 4}. Give prob of picking 2 t and 1 g.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.85392 and 148.8.\nAnswer: 151.65392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 e when three letters picked without replacement from {j: 6, f: 3, e: 4, n: 1, z: 3, a: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 924122 a multiple of 293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -12*f - 2. Let h be r(-2). Suppose -a - 3*a = 0. Suppose 3*s - 208 - h = 5*y, a = -3*s + 3*y + 222. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7233\/322 + 6\/161. Suppose 3*l = -0*l + 6. Find the common denominator of 2 + 14\/(-44) + l and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 8:04 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 1604*c + 6384.\nAnswer: 2*(c + 4)*(c + 798)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1406521609?\nAnswer: 79, 17804071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5932*s + 2519*s**3 + 5941*s - 142 + 5932*s + 82*s**3 - 17816*s wrt s.\nAnswer: 15606*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1534\/(-295))\/(2\/(-5))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -78 and -22956130.\nAnswer: -22956208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -18*l + 3. Let d(z) = 23*z + 58. Let h(r) = 22*r + 46. Let m(f) = 4*d(f) - 5*h(f). Give -5*m(b) + 4*y(b).\nAnswer: 18*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyp when three letters picked without replacement from ppxyijj.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 126*r + 386. Determine p(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1758286, -1758288, -1758290?\n\"Answer: -2*z - 1758284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -11, -9, -7, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**3 + 7*s**2 - 9*s - 4. Give i(3).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 9 = -3*b, -5*b + b + 12 = 2*h. Let m(o) = 2*o - 6. Let u = -6 - -11. Let y be m(u). Sort b, y, 0 in increasing order.\nAnswer: 0, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -4*l + 3*k, 130*l + 4*k = 126*l - 16 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*f - 2*s, 5*f = 4*f + s + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*m + 2*m = 306, -5*m - 451 = -3*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -11*k**3 + k**2 + k - 1. Calculate n(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 268585 or 268660?\nAnswer: 268660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**5 - 2*x**5 + 8*x**5 + (x**3 - 3*x**3 - 3*x**3)*(-4*x**2 + 2*x**2 + 4*x**2))*(25 + 28 - 15).\nAnswer: -190*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uby when three letters picked without replacement from {y: 1, r: 1, o: 5, b: 2, a: 3, u: 1}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/593 - 1769\/2965. Let u(z) = 3*z - 2. Let k be u(2). What is the closest to -2 in h, k, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25126 and 24310.\nAnswer: 17965090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 13*p**2 + 15*p - 24. Determine r(3).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4994000 to the nearest 100000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 226174 + 45?\nAnswer: 226241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10994 - 10994. Which is the nearest to 5? (a) 2 (b) 3\/2 (c) f (d) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.90735 + 7\nAnswer: 1.09265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91924279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -129, 0.\nAnswer: -129, -47, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 5*h - 85, -3*r - 7*h = -9*h - 50. Calculate the remainder when r is divided by 46\/4 - 2\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2442 (b) -0.86 (c) 4 (d) 0.2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*d + 33 - 8*d + 24*d + 4 - 4 + 3*d + (-1 - 5 + 4)*(0*d + d - 3*d) - d + d + 2*d - 2*d + 4*d - 3*d + d - 5*d + 2*d as s + r*d and give s.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 3*o - 2*o)*(-o - 2*o + 4*o) + (-2 + 5*o - 4*o + o)*(802 + 117*o - 802) to w + q*o + m*o**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2577414 is divided by 198252.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/233233000 and 173\/504.\nAnswer: 2099097000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 45*d**4 + 168*d**3 - 262*d**2 + 112*d - 15 = 0.\nAnswer: -5, 1\/3, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**2 - 5*z - 3. Give w(-4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(0 - 2\/(-4)). Suppose -v*j - 257 = -5*w, -3*j + 7*j = 16. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*12*(-4)\/(-15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 10:34 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16083521892 and 14.391?\nAnswer: 16083521877.609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.879 + 1.279. Sort w, -5, 37, -1 in increasing order.\nAnswer: -5, -1, w, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1158.13 and 0.2.\nAnswer: -231.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 784379683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 + 3*u. Let o be g(-2). Let k be -3 + o - (0 - -3). Suppose -h + 5*h = k. Solve -2*n + h = 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2 - 20190*r - 40372 = 0 for r.\nAnswer: -10093, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*h**2 - 2*h**2 - 281 - 1916 - 13*h**2 - h**3 - 507*h.\nAnswer: -(h + 13)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/2)\/(162\/54)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((8\/14)\/4). Suppose -w = -2*n - 1. Suppose 0 = 4*t - 2*s - 34, -4 = n*t - 4*t + 2*s. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.41 - 5.59. Which is the fourth biggest value? (a) 4\/5 (b) s (c) 2\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1322878 is divided by 192.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 789*a - 4 + 408*a to u*a + j and give u.\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**5\/30 + 191*v**2. Let b(l) = l**2 - 30*l. Calculate x(b(c)).\nAnswer: -2*c**4 + 120*c**3 - 1800*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 6:27 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 2*s - 20 = -25 + 19, b = 3*s for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/(-30) + (-2)\/(-3). Suppose 1079 = 9*s + 269. Suppose 0 = -11*f - 7*f - s. Which is the third smallest value? (a) f (b) v (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 4:37 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12626 times -1.8\nAnswer: -22726.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*q + 78*q + 1 + 299*q + 12*q - 53*q.\nAnswer: 425*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -256642*m**3*v**5 + 6*m**3*v**3 - 2801441*m**3*v**2 wrt v.\nAnswer: -15398520*m**3*v**2 + 36*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3. Let g = 11 + -9. Suppose 5*s = -4*q + 30, -53*q - s - 52 = -58*q. What is the biggest value in -1\/4, q, g, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3*l + 4*l + 6*l)*(3*l + 4*l - 1 - 4*l) to m*l**2 + f*l + s and give m.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -1)\/(19\/171). Let j(k) = -k**3 + 4*k**2 + 8*k - 3. Calculate the remainder when j(5) is divided by 13\/3 + 6\/p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -141543066.35 and -2.\nAnswer: -141543068.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 11249 = 2*y, 113*y - x - 11251 = 111*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**1)\/v**(-7)*(v**(-1\/4))**(-27) assuming v is positive.\nAnswer: v**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 348.5 - 348. Which is the third smallest value? (a) r (b) 3 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34226349\/4671404 + 3269\/446. Find the common denominator of y and -5\/14.\nAnswer: 146636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*z + 370 + 246 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -108\/7 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2242308 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, n: 5, r: 2, a: 3}. What is prob of picking 1 r, 1 n, and 1 a?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + 1089\/(-33) + 52 + -54.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 56797040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 divided by -2?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3764185*v**3 + 8834109*v**2?\nAnswer: -22585110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7187, 14194, 21201, 28208?\nAnswer: 35215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -224347 + 224347.0000104633. Round a to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 15*u**2 - 11435*u - 80773. Calculate l(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(128) + sqrt(128) + sqrt(128) + 0 + sqrt(128) + -5 + sqrt(128)).\nAnswer: -80*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1155747568 to the nearest integer?\nAnswer: 33996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a + 22092 = y + 22*a, 4*y - 88291 = -3*a. List the prime factors of y.\nAnswer: 2, 7, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2067, 2018, 1899, 1674, 1307?\n\"Answer: -6*d**3 + d**2 - 10*d + 2082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46820?\nAnswer: 2, 5, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*s + 1531, 7*f - 1234 = 3*f - 3*s. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 6*f**2 - 9*f + 9. Calculate n(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -300 - -304. Let q(g) = -32*g**3 + 5*g - 192. Let j(i) = 33*i**3 - 6*i + 193. Let b(w) = l*q(w) + 3*j(w). Find the first derivative of b(c) wrt c.\nAnswer: -87*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 6. Let l be x(10). Let m = l - 8. What is the lowest common multiple of (3 + 0)*160\/24 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 4, -461707 in increasing order.\nAnswer: -461707, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 3 + -5 - -9. Suppose -w + 5*v - 26 = 0, 2*v + 0 = i. Let b(p) = p**2 + 6*p + 5. Give b(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = q + 5*g + 32, -2*g = -q + 15. Suppose 5*i = -2*z - 11, 4*i + i + q*z + 5 = 0. Let f(w) = -4*w + 4. What is the remainder when f(i) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 30*h. Let v(m) = 3*m**2. Calculate r(v(y)).\nAnswer: 90*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120090\/59 or 2035?\nAnswer: 2035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3*n + 3 = 0, -11*n + 45 = 257*f - 259*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a decade?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - c - 543 + 540 = 0, -21 = -3*x + 6*c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*i**3 - 121*i**3 - 141*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306 + 3 + 1*(-4 - -1).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 2. Suppose -2*z + 3 = -13. Suppose 5*l + z = 9*l. Give q(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 19990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 0, 9*r - y + 1 = 8*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 267 + -247. What is the highest common divisor of 340 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -16*b**3 + b**2 + 142*b + 143. Let d be y(-1). Solve 0 = 2*l - 5*o + d - 24, 3 = l + o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 - -57. Suppose 5*n - p*b = 3*n - 32, 3*b = -n + 9. Is 1\/8 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/21)*d)**19\/(d\/d**(-3\/8))**(-6\/35) assuming d is positive.\nAnswer: d**(7319\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 920 divided by 143\nAnswer: 920\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(-188)\/9*(-19161)\/(-4258).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 11)*(-1 + s + 1)*(-3 + 0 + 4 + (5 - 2 + 0)*(1 - 5 + 2)).\nAnswer: 45*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-120)\/(-10))\/120)\/(7\/(-14)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 19595.6 and -1822151.88.\nAnswer: -1802556.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10462 - -10487. Solve m*o + 26 = 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/77)\/(112\/(-98)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 353210 or 353188?\nAnswer: 353188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 65649371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1311305.74878 + -1311293. Let o = 12.76 - n. What is o rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.887890346 rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 23489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 1\/176 (c) -748\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58911.\nAnswer: 3, 73, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -585108458.134 - -0.59\nAnswer: -585108457.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 12*n + 30. Let c be z(14). Let v be 1*(15 - (c - 0)). Let p(g) = 4*g**2 + 3. Let l be p(3). Calculate the greatest common divisor of l and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(2 - (-21)\/(-6)). Let l = 6 + d. Let t be (-3 - l) + 2 + 3. Solve -2*o - 6 = 3*o - t*j, o - 2*j = -6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79396\/3 + -7304359\/276. Let t = m - 1\/69. Which is the second biggest value? (a) t (b) -3\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/221*-4*(-7 + (-1 - -6)).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/23 - 168*f\/23 + 3520\/23.\nAnswer: 2*(f - 44)*(f - 40)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014364 rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeqqqqqqmmqemmqmmmem. What is prob of picking 3 m and 1 q?\nAnswer: 448\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 8*q - 9. Let i be d(-6). Let z be (i\/3)\/((-1)\/(-5)). Suppose 2*w = -4*y - 0*y + 14, z*y - 22 = -4*w. Is 2 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -295 - -289.73. Let l = 5 + x. Let j = -2.27 - l. Which is greater: j or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*n = -1, -11*n = 2*a - 10*n + 3. Which is smaller: a or 24?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 12 + 5 + 5. Let l = 11 - 8. Suppose 2*t = l*a - 2*t + 7, -3*t = -2*a - 4. Determine c(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -2. Let q(z) = 5*z**2 + 4. Suppose -2*p - 13 = a, 7*p + 5*a = 3*p - 35. Let d(h) = 6*h**2 + h + 4. Let j(t) = p*q(t) + 4*d(t). Give j(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 2, m: 4, q: 2}. What is prob of sequence gm?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wswswsssssssswsssss. What is prob of sequence sw?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*l**2 + 0*l**3 - 59*l**2 + 2*l**3)*(-7*l**2 + 53*l - 53*l).\nAnswer: -14*l**5 + 42*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 - 9*i + 3. Let v = 93 + -97. Let r be x(v). Suppose 11*y = r*y + 804. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + 10*g**2 + 7. Let p be y(-5). Suppose 0 = 3*r - p + 16. Let v(u) be the first derivative of -u**2 - 2*u + 1. Calculate v(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjjjcjbjjbjjjcbbjjj. Give prob of sequence bjjb.\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 187985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {e: 3, j: 1, z: 3, q: 3, l: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -2*s + 4, -2*s - 2*s + 8 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -300, -1411, -3342, -6093, -9664, -14055?\nAnswer: -19266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 7*c - 5. Calculate the remainder when (16\/(-20))\/((-4)\/40) is divided by u(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -580, -4, 29 in decreasing order.\nAnswer: 29, -2, -4, -580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 9 = -i - 6*a, 3*a - 3 = 2*i. Let u = 7 - 2. Suppose 4*h + u*x + 28 = 0, -7*x - 16 = -i*x. Let f(k) = -k**3 - k**2 + 3*k + 1. What is f(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (27\/18)\/(0 - (-9)\/5280). Suppose 0 = -f - 2*q + 215, f - i = -3*f + 2*q. List the prime factors of f.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100923818 take away 7323?\nAnswer: 100916495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*w**3 - 91*w**2 - 16246 with respect to w.\nAnswer: 27*w**2 - 182*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 5. Suppose j*i = -s + 22, 3*i = -2*s + 8*i + 44. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.11 + -0.39. Round s to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-168)\/64)\/((-351)\/(-260)) and 23\/518.\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -728*y = -718*y - 34270. Is 53 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 1386 = 17*m. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.3 - 3.3. Let i = 23 - j. Let a = i + -18. What is the second smallest value in 1\/5, a, -8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 0*s**3 + 2*s**3 - s**3 + 8*s**2 + 9 + 8*s. Let k be f(-7). Let t = 0.1245 - -0.1755. Sort k, t, -3 in descending order.\nAnswer: k, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, 1.5, 1\/8, 1.3052 in decreasing order.\nAnswer: 2, 1.5, 1.3052, 1\/8, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88 - 14 + 678*c - 674*c - c + 3*c - 4*c + c + 1 - 1 + (-3 + 0 + 2)*(4*c - 2*c - 3*c) - c + c + c + 2*c + 2*c + c to the form p*c + f and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(10\/(-5))*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/106235025 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2 - 138*m - 2895. Let s(i) = 2*i**2 - 70*i - 1447. Let a(f) = 3*r(f) - 7*s(f). Factor a(t).\nAnswer: (t + 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) -22.7 (c) 213.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - q**2 + 20. Let a be b(0). Suppose -2*r - 4*m + a = 0, 3*r - 4*r = 3*m - 10. Solve -4*y + r = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p - p**2)*(5*p - 8*p - p**2 - p) + (-p**4 + 0*p**4 + 2*p**4)*(0 - 10 - 1).\nAnswer: -10*p**4 + 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Suppose 4 + 12 = 4*f, 5*c + 4 = -4*f. Put c, 4, d in decreasing order.\nAnswer: 4, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 6 = -2*o, -z + 0*o + 2 = 4*o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84 + (20 - 25 - -56).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/18 and (-4)\/(-6)*3 - 957\/288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -620 - -625. Suppose 2*c - 3*f + 48 = p*c, 0 = 5*c - 5*f - 70. Let i be (-21)\/(-9) + (-2)\/6. Solve 5*v + 31 = 4*r, i*r + r = v + c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22742866 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -117*f**2. Let n(l) = 3*l**2. Determine u(n(s)).\nAnswer: -1053*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.51 + -4.51. Sort 0.1, 1, a, -65 in descending order.\nAnswer: 1, 0.1, a, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + sqrt(832) + sqrt(832) + -2 + sqrt(13) + 2)**2.\nAnswer: 8125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3\/7, -63.9, -4, 4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 3:29 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -8. Differentiate 6*j**3 + 5 - c + 0 + 6*j**3 wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -47*z**5\/10 + 13*z**4\/2 - 72*z. Find the third derivative of s(x) wrt x.\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 20898?\nAnswer: 1\/6966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9290000 rounded to the nearest one hundred thousand?\nAnswer: 9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/1031670 and 41\/114630.\nAnswer: 1031670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4*w + 110 = 0, -376*m - 182 = -381*m - 98*w for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - -0.5. Suppose -4*n + h = -0*h - 15, -4*n - 3*h = -35. Suppose -n*y - 15 = 0, 23 = -w - 5*y + 4. What is the nearest to q in w, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*s - 166 = 0, -v - 4*s + 21 = -11. Let t = 60 - 88. Let c = 46 + t. What is the remainder when v is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 - 1)*(-5 + 2 + 1) - 2 - 3 + 0)*(-152*r - 136*r - 57*r) + 4*r - 2*r + 0*r to the form o*r + x and give o.\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}