diff --git "a/data/dm_maths/full_data_2/1809_11255.jsonl" "b/data/dm_maths/full_data_2/1809_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1809_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -853 = 189*n + 444 - 163 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29075 + 29075.0124. What is the second biggest value in 1\/2, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9924?\nAnswer: 2, 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k**2. Let p(s) be the third derivative of -s**4\/4 - 42*s**2 + 2*s. Give p(y(f)).\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-1)\/(-15))\/(16\/(-40)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/2, 3, -1\/135 in ascending order.\nAnswer: -1, -1\/2, -1\/135, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -15*i + 117. Determine t(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 1336*n**2 - 4059*n**2 + 426*n**2 + 355*n**2.\nAnswer: -4614*n**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 51139.14 decades?\nAnswer: 5113.914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4387 - 43909\/10. Let s be 2466\/4 - 2\/(-1). Let u = s + -662. Calculate the common denominator of p and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152\/(-570))\/(1\/(15\/(-6)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -6*m + 7. Let n(w) = 17*w - 22. Let l(d) = -2*n(d) - 7*r(d). Let g(p) = 9*p - 6. Let k(h) = 4*g(h) - 5*l(h). Differentiate k(q) with respect to q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 17, -643, -3.\nAnswer: -643, -5, -3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 + (-3 + 1 - 2) + 2 - (-123 + 132)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**3 + 0*c**4 + 0*c + 0 + 0*c**5 + 2*c**2 + 1\/20*c**6. What is the first derivative of m(z) wrt z?\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -22*k**2 + 3*k - 2. Is w(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130 - -590. What are the prime factors of i\/16 + -3 + (-13)\/(-4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 262189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -4095283946.25.\nAnswer: -4095283947.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4))\/((-2)\/4). Let z = 2\/4629 + 154298\/4629. Let l = z - 34. Which is the smallest value? (a) f (b) l (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*n**2*q - 2*n**2 + 124*n + 2*q - 1 wrt n.\nAnswer: -14*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/10)\/b**8*b**(-25)\/(b\/b**(8\/7)) assuming b is positive.\nAnswer: b**(-2293\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*y = -7 - 12, 4*y - 20 = 3*v. Suppose -118 = -3*j + 3*p + 509, 4*j + 3*p - 871 = 0. Calculate the least common multiple of 10 and j\/30 - v\/(-60).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 = -a - 4*g, -2*a + 694 = -16*g + 20*g. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -18.1. Let d = 1 + -1.5. Let a = 16.8 + -17. What is the nearest to -1 in d, m, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4782817207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.3, 3, 175378 in decreasing order.\nAnswer: 175378, 3, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3180065 divided by -158?\nAnswer: -3180065\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**17)\/n**(-1\/26))**(2\/9))**(-46) assuming n is positive.\nAnswer: n**(-21574\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 8*o + 3 = 0. Suppose o*s + 9 = 2*w, 0*w = -4*w + 4*s + 12. Let u = -13\/9 - -16\/9. Which is the closest to 1\/3? (a) -2 (b) u (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 869*q**2 - 15 - 468*q**2 - 485*q**2 - q**2 - 2*q + 2*q - q**2 + 2*q**2 + 0*q**2 + (5*q - 2*q - 5*q)*(-2 - 2*q + 2).\nAnswer: -80*q**2 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**5 - 42*t**4 - 201*t**3 + 852*t**2 - 612*t = 0.\nAnswer: -6, 0, 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(8 - 3 - (-196)\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51421547.\nAnswer: 51421547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 - 5*q**3 + 7*q**3 - 3*q**4 + (-3*q - 2*q + 3*q)*(q + 3*q**3 - q).\nAnswer: -10*q**4 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + 170\/40 + 1314\/216 + 18. Factor -5\/3*v**5 + 0 + 20*v**3 + f*v**2 + 10\/3*v**4 + 25\/3*v.\nAnswer: -5*v*(v - 5)*(v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.024 + -0.024. What is the biggest value in 3, i, 5\/4, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 630 - 599. What is the remainder when 57 is divided by h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1473.\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 + 13 + 1 + -2. Suppose -22 = -x*r + 14. What is the least common multiple of 6 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1536\/6 - (0 - (3 + -2)). Suppose -4*n + 2*o = -o - r, 4*n - 263 = -3*o. What is the remainder when n is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8772955\/124 + 70749. Find the common denominator of z and -57\/32.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from sajsssasrssarcsajsas.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2) + 4*(-30)\/(-96). Solve -d*f**2 - f - 1\/4 = 0 for f.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*n**2 - 55*n**2 - 15*n**3 + 0*n + 0*n + 2*n**3 + (3 - 5 + 4)*(-n**2 + n**2 - 4*n**3).\nAnswer: -21*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 58. Let f(s) = 3*s**2. What is y(f(i))?\nAnswer: 18*i**4 - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4639, -3, -0.5, 4, 9, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3119 is divided by 1273?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 5:34 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*g**4 + 114*g**4 - 47*g**4 + (3*g**4 - 6*g**4 - 5*g**4)*(-3 + 2 + 2)*(0 + 2 - 8) to t*g**2 + o*g + y*g**4 + x*g**3 + c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5609538t to milligrams.\nAnswer: 560953800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 16) in base 5?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 1. Let x be m(5). What is the third derivative of -7*k**4 - 6*k**4 - 2*k**5 + 13*k**x - 4*k**2 wrt k?\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 2*g - 8, 16*g + 8 = -2*o + 15*g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (509 - 3)*(-4 + 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzcz when four letters picked without replacement from cxkjzxkzkz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1 + 0 + 2*k**2 + 2 - 14*k + 1. Let h be z(11). What is the greatest common factor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 13*w**2 + 4*w - 90. Let p(d) = d**4 - d**2 + d - 4. Let x(o) = -4*p(o) + q(o). Differentiate x(h) wrt h.\nAnswer: -16*h**3 + 34*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (87 + 6)*(-2)\/(-3). Let l(j) = j**2 - 5*j - 1. Let x be l(-4). What is the units digit of v\/10 + (-7)\/x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5bb - -a942?\nAnswer: a387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-7)*q**(-4)*q**(2\/13)\/((q\/(q*q**10))\/q*q))**(4\/5) assuming q is positive.\nAnswer: q**(12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 2. Let m = x + 8.99952. Round m to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 976 and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5520*v = 285584 + 244336 for v.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15776542*m**2 - 91984*m + 77 wrt m.\nAnswer: 31553084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 166.2 + -166.189853. Round n to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q*q*q**(-4\/13))*q)\/q)\/q**(-8))\/(q**(-2\/21))**(-4\/11) assuming q is positive.\nAnswer: q**(18838\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010 (base 3) in base 8?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 4*q**2 - q + 16. Let o be s(-4). Suppose -2*d + o = -d. Calculate the remainder when 59 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82632)\/(-20658) - (-21 + (0 - 0)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3923 divide 409399646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.58 + 26.42. Let x = j - 26.9936. What is x rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.23569 - 200780582.\nAnswer: -200780564.76431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 4 = 2*r + 2*r, 39830*s = r + 39835*s - 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = b + 3*n - 9, 0 = -5*b - 2*n - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-302)\/151*(2\/3)\/((-30)\/(-1305)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 8:19 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*p*t - 2164*p - 2*t + 5137 wrt p?\nAnswer: -3*t - 2164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h + 17. Suppose -q + 24 = -5*q. Let x be t(q). Which is the second smallest value? (a) x (b) -0.2 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 2*n + 2. Let x be w(11). Let a = x - 65. What is the least common multiple of 16 and a?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 182, 278, 374, 470, 566?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2526708 and 7170.\nAnswer: 12633540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, y: 3, t: 1, n: 1, s: 1, c: 1}. Give prob of picking 1 y, 1 c, and 1 t.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8 = -f, -4*f - b - 2*b = -32. Let n(y) = 1 + 7*y + 47 - 9*y + 14*y. Is n(f) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46964191?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12962, -12943, -12920, -12893?\nAnswer: -12862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1657 (base 8) to base 12\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -94, -194, -318, -478, -686, -954?\n\"Answer: -2*x**3 - 86*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 10, 25, 46, 73, 106, 145?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r + r)*(4*r**2 + 5*r**2 + 3*r**2) - 2*r**2 + 2*r**2 - r**3.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (0 - 9) - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -35 (b) -3 (c) -0.5 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 392\/112*((-4)\/(-7))\/4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 3:12 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -54, 3, 2\/29?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -5*n + 18 - 228 - 188 + 53, -4*j = 5*n + 330 for n.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -262\/5 smaller than 413737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (-2)\/(-3))*-3. Let g be d\/(2\/2)*0. Suppose g*u = -u + 6. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v - 77. Let u be f(16). Find the third derivative of 2*w**u + 19*w**5 - 8*w + 2*w**2 - 2*w**3 + 46*w wrt w.\nAnswer: 1140*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -202226724 or -202226725?\nAnswer: -202226725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-1 + 1 - (-12)\/(-16)). Suppose 6*r + q = 3*r. Let x be r - 4*(-4 - -3). Solve 5*h + y = -y + 1, -4*h + 3*y + 10 = x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1)*((-15594)\/460 + 34).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**3 + 6*p**2 - 5. Let k(c) = -4 - 236*c**2 + 241*c**2 + 2*c**3 + c**3. Suppose 5*q + 4*l = 40, -7 = q - 4*l + 9. Calculate q*v(d) - 5*k(d).\nAnswer: d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 - 3 = 0. Suppose -2*c + 64 = w*r + 2*r, 136 = 5*c + 2*r. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*u + 1905 + 2750 - 572 = -1349 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 1826.\nAnswer: 16434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-292)\/(-657)*279 - (-5 + 40)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - x. Let m(v) = 16*v**2 - 12*v + 8. Let y(o) = m(o) - 12*w(o). Differentiate y(q) with respect to q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106492858?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6*o**2 + 8*o + 5. Let l(a) = -a**2 - a + 2. Let u(r) = 5*l(r) - v(r). Give u(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, y: 2, u: 3, r: 1, c: 1}. Give prob of sequence uyu.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 704281*d**3*u**2 - 5*d**3*u - 80*d**2*u**2 + 2*d**2*u - d + 1400581*u wrt u?\nAnswer: 1408562*d**3 - 160*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245881012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*a - 4. Let x(o) = 4*o**2 - 2*o + 1. Let k be x(a). Factor 0*y**5 + 3*y**5 - 5*y - 4*y**k - 2*y**4 + 6*y + 2*y**2.\nAnswer: y*(y - 1)**2*(y + 1)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -100*u**2 - 340*u + 485. Let v(m) = 9*m**2 + 31*m - 44. Let x(a) = 4*n(a) + 45*v(a). What is l in x(l) = 0?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 29*d**2 + 14*d + 14. Let z = -5336 + 5344. Let p(k) = -10*k**2 - 5*k - 5. Give z*p(o) + 3*h(o).\nAnswer: 7*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 155269 and 155269 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.38 - -0.62. Which is the nearest to -0.2? (a) 6\/7 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 270.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15356333 is divided by 158.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**9\/36288 - y**8\/4032 - y**7\/1512 + 13*y**5\/30 + 40*y**2. Let k(h) be the third derivative of z(h). What is i in k(i) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 9*l + 15. Let m be i(2). Let b(d) = -d - 14. Determine b(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1141 in -5, 19, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2311469325 to the power of 1\/2, to the nearest integer?\nAnswer: 48078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.2, -2, -1.451, 1\/24, 1?\nAnswer: -1.451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*a + 446 = 464, -3*n + a = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 13*g**2 + 13*g + 3. Suppose 3*b - 3*y + 28 = -y, y - 44 = 4*b. Let l be r(b). What is the tens digit of (85 - (-6)\/3) + l\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438 (base 16) in base 8?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 8*z**2 + 8*z - 2. Let g be j(7). Let a(k) = k**3 - 3*k**2 - 8*k - 3. Let t be a(g). Let f = 0 + t. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 4:00 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 1 + 1)*(-5 + 5 + 2*x) - 64 + 64 - 9*x**2 - 1 + 3*x**2 + 1.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -1720*p + 25. Let r(b) = 1722*b - 30. What is 6*o(k) + 5*r(k)?\nAnswer: -1710*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7466 (base 9) to base 12.\nAnswer: -3213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302003111 (base 4) to base 2.\nAnswer: -110010000011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -3*t**5\/2 + 18*t**2 - 37*t. Differentiate g(x) with respect to x.\nAnswer: -90*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhef when four letters picked without replacement from {h: 3, f: 5, e: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 13\/6 (b) 0.28 (c) -4 (d) -1 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlml when four letters picked without replacement from {l: 2, m: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-3))\/(-35*(-6)\/45)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**3 + 2. Let j(u) = -u**2 - 7. Let v be j(0). Let o(y) = 4*y**2 - 1744*y**3 + 7 - 1747*y**3 + 3475*y**3 - 4*y**2. Determine v*l(g) + 2*o(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -1\/6 (c) -8 (d) 114 (e) -5 (f) -10.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (20\/2)\/(68*28\/6664)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n + 5*b + 44845, -134469 = -3*n + 4*b. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 90 = -3*c. Suppose -3*k + 3*o = 48, -5*k - o + 5*o - 76 = 0. Let x = 14 + k. Calculate the least common multiple of x and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -410*f**3 + 6640*f + 6654. What is the first derivative of d(q) wrt q?\nAnswer: -2460*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 b when three letters picked without replacement from pqpubpppppbpbpiipb.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.189 - -0.203. Let s = 0.215 + -0.17. Let m = s - t. Round m to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92 and 20.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4679, 9356, 14031, 18704?\nAnswer: 23375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(30\/6))\/1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 0 + 4 + 2. Suppose 7 = 4*h - v. Suppose -4*d = -d + h. Which is greater: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 0 - 4\/105*y**5 + 2*y + 1\/12*y**4 - 1\/21*y**3 - 4\/105*y**6 + y**2. Let r(g) be the first derivative of i(g). Factor r(o).\nAnswer: -2*(o + 1)*(4*o - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -18252, 5, 1, 0 in descending order.\nAnswer: 5, 3, 1, 0, -18252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -13609 less than or equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -0.33, -1, -2393, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-5)\/z))\/z)**11\/(z**(3\/2))**(1\/12) assuming z is positive.\nAnswer: z**(527\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/25 + 88\/5 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**3 - 101301*h**2 - 428868048*h + 7944735260700 = 0. Calculate h.\nAnswer: -20146, 6525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -6, -9 in increasing order.\nAnswer: -9, -6, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 5:36 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -12*a. Let v be n(-5). Suppose v = 3*j + 6. Let f(m) = -m**2 + 179*m - 6258. What is the lowest common multiple of f(48) and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + z + 2. Let g be k(-2). Let w(v) = -v + 0*v - 4*v + g*v. Let q(h) be the second derivative of -3*h**3 + h. Give w(q(c)).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 8:17 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13221552 - -11421?\nAnswer: 13233413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k, -22*v = -23*v + 4*k - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 160 + -145. Suppose 11574 = c*d + 2424. What is d rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2542, 2564, 2586?\nAnswer: 2608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1765 + -124?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = 5*z - 91. Suppose 3*h - z = -h. What is the remainder when 68 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 2*x + 5*x + 25, 0 = l + 2*x - 5. Let f be (-2)\/(-9) - (-176)\/18. Let n = 19 - f. Solve l*h + n = -1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 103.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.82, 0.05, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 3, 39, -4, 1, -2 in ascending order.\nAnswer: -4, -2, 1, 3, 39, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -83 in -44, -3\/5, -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -561 - -205. Let x = 4484\/13 + o. Let k = x + 1865\/78. Find the common denominator of k and -28\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/19, 2, 6, 0.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2231101031 (base 4) to base 5.\nAnswer: -140202314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/14 - 26\/(-7). Let p(j) = 2*j - 4. Let v be p(4). Let b(n) = -t + v - 2*n. Let h(r) = r. What is b(h(x))?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 7*f - 2 = 0. Let m be (-623)\/(-28) - f\/(-4). Is m smaller than 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from gkgqg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 2528433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppvpvvvvyvyyy. What is prob of sequence yyv?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 - 5*d**2 + 15*d**2 - 10*d**2.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3140 and 2890220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96 (base 10) to base 5.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -50*r - 146. Let v be j(-4). Is 59 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -540?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**4 - o**3 + o**2 + o + 1. Let y(n) = 2*n**4 - 4*n**3 + 4*n**2 + 4. Let q(b) = 4*c(b) - y(b). What is the second derivative of q(v) wrt v?\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i. Let a(t) = 2*t**2 - 10*t. Give a(y) + 2*u(y).\nAnswer: 2*y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-7)*854\/(-244).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 7 = -4*s, 22*f - 9 = 19*f + 3*s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12538.6 - -13821. Round h to the nearest ten.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1182\/13 or -1\/1801?\nAnswer: -1\/1801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 23*z - 88. Let h(w) = -763*w - 6100. Let v be h(-8). What is o(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 95*l + 201726 - 197546 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 81. Let g(f) = -1. What is -a(s) + 4*g(s)?\nAnswer: -s**2 - 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**4\/24 + r**3\/3 - 11*r**2. What is y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (-2*6)\/(-3). Suppose -t*z + 3*u + 136 = 0, 4 = u + u. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1, 4, 7?\n\"Answer: 3*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.145004 or 2\/7?\nAnswer: 1.145004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((((sqrt(448) + (sqrt(448) + 6*sqrt(448) - sqrt(448)))*-1 - sqrt(448)) + (sqrt(448) - (2 + sqrt(448) + 0)))**2*4 + -5).\nAnswer: -573495 - 5120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12463663 to the power of 1\/2, to the nearest integer?\nAnswer: 3530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/20)*(t\/(t*t**(2\/57)))\/t*t)**39 assuming t is positive.\nAnswer: t**(221\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270217519 - 6315*o**2 - 270217519.\nAnswer: -6315*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8689*s - 8689*s + 2*s**2 + 4*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1309039*r**3 - 39113*r - 1 wrt r?\nAnswer: 7854234*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - j + 4. Let g be s(0). Let z = g + -11. Let x(y) = -14*y. Does 20 divide x(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -729*c**5\/4 + 1402353*c**4\/4 - 437297589*c**3\/2 + 80088920329*c**2\/2 + 10427267445907*c\/4 - 10586572093011\/4 = 0. What is c?\nAnswer: -51, 1, 5921\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, u: 5, p: 1, o: 2, v: 2, x: 1}. Give prob of picking 1 s and 1 o.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 992689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5720228*b**3 + 124 - 2*b + b + 2*b**2 - 5720454*b**3 wrt b.\nAnswer: -1356*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*d**2*l**3 - 41*d**2*l - 16638*d - 6627235*l**3 wrt d?\nAnswer: 10*d*l**3 - 82*d*l - 16638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2000933250.\nAnswer: 2, 3, 5, 41, 65071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17699\/6 - 2967. Let y = -109111\/10 + 10920. What is the common denominator of y and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17375014, -17375026, -17375036, -17375044, -17375050, -17375054, -17375056?\n\"Answer: j**2 - 15*j - 17375000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4992716?\nAnswer: 2, 47, 26557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-2)\/(20\/2). Let q be 2\/(-3)*27\/(-63). What is the smallest value in 0, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1904 + 594 = 0. Let l = h + -447. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, f: 8}. What is prob of sequence kf?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**20*n)*n)\/((n\/n**(1\/6)*n)\/n*n))\/((n\/(n\/((n\/n**(1\/11))\/n)*n))\/n**(-3\/16)) assuming n is positive.\nAnswer: n**(-10523\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**4\/24 - 24*d**2. Let y(r) = 24*r. Calculate g(y(l)).\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 5517346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10229512 + 75.\nAnswer: -10229437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -70758009996 and 1890?\nAnswer: 70758011886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*g**2\/9 + 149114*g\/9 + 1325988.\nAnswer: 2*(g + 81)*(11*g + 73666)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5 = -d - 0*d, -33 = -3*d + i. Let u(t) = -26*t**2 + d*t**2 - 20*t + 15*t**2. Is u(-16) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 11:26 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 + i**2 + 0*i**2 + 194 - 338.\nAnswer: i**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i + 7*i - 8 - 2*i + 0*i. Is d(4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005516607 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 10:24 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1287 and 450021.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-27)\/(-6))\/((-3)\/(-12)*2). Suppose -5*d = -b*d + 2*l + 416, 3*l + 6 = 0. What is the remainder when d is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 25 - 26 = i, -5*m + 3 = -3*i. Let o(k) = k**3 - 4*k**2. Let y be o(4). Put i, y, 4, -2 in ascending order.\nAnswer: -2, i, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10266?\nAnswer: 2, 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10363 at most as big as 10363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1 - 6*g)*(6*g**3 - 3*g**3 - 2*g**3) - 5*g**4 - 70*g**4 - 59*g**4.\nAnswer: -140*g**4 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -8. Suppose -2*s - 1 = -4*f - 3, 3*s - 2*f - 11 = 0. Put -2, i, s in decreasing order.\nAnswer: s, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*j**2 - 3 - 3*j**2 + 0*j**2 + 14*j**2 + (-4*j + 8*j + 6*j)*(-3*j + 6*j - 4*j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**5\/5 + 2376*b**4\/5 - 55178*b**3\/5 - 2376*b**2\/5 + 55177*b\/5 = 0.\nAnswer: -2399, -1, 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73827, 147651, 221473, 295293?\nAnswer: 369111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6088 or 6090?\nAnswer: 6090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1*j)**41\/(j**(-3\/10)\/j*j\/(j*j**(3\/2)\/j))*(j**(2\/3)\/j)**(-4)*(j*j\/(j*j**(-1\/3)*j)*j)**27 assuming j is positive.\nAnswer: j**(1817\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/(-35) + 2*-1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.892 + -10.9. Let k = -0.008 - w. Suppose 4*g + 5*n + 17 = 0, -2*g + g - 5*n - 8 = 0. Which is the biggest value? (a) g (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107 - 98. What is the remainder when 76 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*v - 141*v + 1 - 2*v**2.\nAnswer: -2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 3*i - 55 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1750307, 1750306, 1750305?\n\"Answer: -h + 1750308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 219350000 rounded to the nearest one million?\nAnswer: 219000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 38 (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.22 (b) 81 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -9. Let i be 1\/((-1)\/(-1)) - 1. Suppose k = -i*k - l, -4*k + 20 = -l. Sort k, p, -6.\nAnswer: -6, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 7 = -5. Let r = a + -4. Let i(b) = 2*b**2 - 5*b. Let q(n) = 9*n**2 - 21*n. Determine r*q(o) + 21*i(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -86 (b) 15 (c) 2 (d) -6.42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.212, 191, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 97825.8898.\nAnswer: 97825.8898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 6:43 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 51 = -4*g - 19. Which is the nearest to -23.3? (a) -0.1 (b) 0.4 (c) 3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*x - 2*b + 8 = -69*x, 0 = -5*x + 4*b - 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 529109507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k + 5*k + k + (2 + 0 + 0)*(4*k - 2*k - k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*n, k = -4*k + 5*n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, f: 1, n: 1, l: 1}. Give prob of sequence nv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 281*z - 272*z + 27. What is the closest to 2 in 0.5, 20, z, -3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 11. Let k(g) = -13*g - 58. Let b be k(-6). Let i = b - 12. Determine t(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136707927971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/5 + 10796*w\/5 + 1259328\/5.\nAnswer: -4*(w - 2811)*(w + 112)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4747981 and 307457.\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -923, -3716, -8363, -14858, -23195, -33368, -45371?\nAnswer: -59198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34703903\/37732 - -26\/9433. Let q = u + -931. What is the common denominator of -143\/6 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 96037 or 96016?\nAnswer: 96037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddddddd. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5662.619 litres to millilitres.\nAnswer: 5662619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(156) - ((sqrt(156) - ((sqrt(156) + 2*sqrt(156) - sqrt(156)) + sqrt(156))) + sqrt(156)))\/sqrt(12)*6.\nAnswer: 1 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009348 - -18131300.6?\nAnswer: 18131300.609348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-12) - (-7)\/3. Suppose -b - 1 + 5 = -3*f, -3*f - w = 0. What is the first derivative of -3*x + 4*x + x - x - b wrt x?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -3, -276, -1\/4, -0.161?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4499460 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 c = 49.5 - 36. Let d = c - 3.5. What is the nearest to 4 in 3, d, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9234845 is divided by 17966.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3385790884?\nAnswer: 2, 7, 6829, 17707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5963312 divided by -2.\nAnswer: -2981656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151*r**2 + 42 - 3*r - 83 + 43 to f + h*r + m*r**2 and give m.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5991?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 15*w**2 + 82*w. Let p(q) = -7*q - 24. Let x(h) = -37*h - 128. Let v(c) = 16*p(c) - 3*x(c). Give v(b(d)).\nAnswer: -15*d**2 - 82*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, 2, 1\/3, 1.218, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 3*s - 10 = -h, -11 = h - 2*s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -110101000100101001110 (base 2) to base 15\nAnswer: -245441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + 1111122200122?\nAnswer: 1111122200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/12*(-9)\/2*95\/1425?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-8)\/((-16)\/3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200878.\nAnswer: 2, 47, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + -4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c1a5 (base 13) in base 14?\nAnswer: -394d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14 - -5)*3\/9. What are the prime factors of 8 - ((-5)\/(-5) + t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -395 + 395. Solve -2*s = -3*x - 6, p*s = -3*x - s - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6290 times 0.4?\nAnswer: 2516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -49*t + 32 - 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 3860 and -0.39 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005290481142 rounded to seven dps?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(200)*-1 - sqrt(6)\/sqrt(3)*-1)**2 + (3 + sqrt(8)\/sqrt(4) - (-1 + sqrt(128)))**2).\nAnswer: -1104 + 224*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -13505 (b) -0.1 (c) -1\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 605\/(-44) + (-3)\/(-4). Suppose -n = -4*q + 75, 0 = -3*q - q - n + 69. Let d = s + q. Solve 8 = -d*z - 4*g, 3*z = -0*z + 4*g + 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - g + (-15*g + 15*g - 25*g)*(4 - 2 + 2).\nAnswer: -101*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/(-54))\/((-11492)\/155142).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 28*i**2 - 5*i + 136. What is f(28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24154280 and 510.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 8:58 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 d when three letters picked without replacement from cdujuuccddcdjj.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {g: 14, u: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 43?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5 + 30*x**4 - 537*x**3 + 1368*x**2 + 1836*x - 6480 = 0 for x.\nAnswer: -20, -2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70179408.\nAnswer: 2, 3, 13, 37489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 6717612190 to the nearest 1000000.\nAnswer: 6718000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-14) + (-3514)\/(-49)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6*k + 2*k - 517 = 0, 343 = 2*z - k. Let d = z - 176. Let u be 3\/((-18)\/10) - -1. Which is the nearest to u? (a) -1 (b) 0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 f, and 1 s when three letters picked without replacement from {r: 3, f: 7, s: 1, l: 3}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4d7cdd (base 16) to base 11\nAnswer: -295939a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6974 and -64353638052?\nAnswer: 64353645026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -4, 705, -2, 2.\nAnswer: -5, -4, -3, -2, 2, 705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000041043 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 761864536 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-297)\/(-55) - ((-6)\/(-15) - 0). Sort u, 3, -1, 16 in increasing order.\nAnswer: -1, 3, u, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -515 - -818. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/15))**37*l*(l*l**(-2\/75)\/l)\/l*l\/(l**(-1\/19)*l) assuming l is positive.\nAnswer: l**(7067\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z. Let b(f) = -10*f**2 + f - 467. Give b(i(w)).\nAnswer: -40*w**2 + 2*w - 467","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2 + 10248*j + 123264 = 0. What is j?\nAnswer: -12, 5136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 7. Let g = 0 + m. Let x = 5.1 - 0.1. Sort g, 4, x in descending order.\nAnswer: x, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 1. Let l be y(-4). What is the units digit of (-23)\/l + 6\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001732 rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109 + 136. Suppose -5*x = 29 + 1. Let t = x + f. Solve 4*c = 2*w - 14, 7*c - 4*c = 5*w - t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (17 + (-1863)\/54).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -8 + 2 - (-2 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwggwgwgwggww. What is prob of sequence wgg?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 18*l - 39*l = -270 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 32*k**2 - 60*k + 59. Calculate the remainder when 352 is divided by z(30).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 938416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 26*b**2 + 186*b - 98. Let y be d(13). Calculate the greatest common factor of y and 31980.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001010010101000110 (base 2) in base 3?\nAnswer: 1120002211011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 + 7*d + 9. Give h(-6).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 14 (b) -2\/3 (c) -7 (d) -0.88 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 - 55*b + 89. Let p be a(-29). Suppose 5*i - 4 = -f + 10, -3*f + 16 = p*i. Solve -f*r - 3 = 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 13 + -4 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2265ad + 0?\nAnswer: 2265ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21434444 (base 6) to base 12\nAnswer: 26ba24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32282?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40288*u**4 + 4576*u**2 wrt u?\nAnswer: -966912*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 + 25 - 51)*(-5 - 1 + 5)*(5*h**2 - 32 + 32).\nAnswer: -100*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s + 3 + 6*s - 6. Let u be h(5). Calculate the highest common divisor of 84 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -41, -54, -65, -74, -81, -86?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 4*x + 13, 78*x - 77*x - 8 = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 94*j - 426, 17*j + 169 = 2*p + 14*j for p.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.5 + -2.5. What is the nearest to p in 3\/2, 48, -1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**3\/6 + 15*d**2\/2 - 2*d. Let o be b(0). Let l be 260\/o + 2\/(-6). Solve 4*a + l = 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/24 + (-10074618)\/(-8). Suppose p - 3327 = -x. Let q be p\/6*750\/(-10). Round q to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7531 divide 636365794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 - ((-5 - (1 - -11)) + (14 - 1)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77)*3)\/(sqrt(42)\/sqrt(24))*2.\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 11*v + 6. Let w be x(11). Let y(i) = 3*i - 14. Let j be y(w). Which is the closest to 0.1? (a) j (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 775 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100.08 + 100. Let g = -0.28 - d. Which is smaller: g or 2\/119?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116 and 72?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**3 - 165*l**2 - 3*l + 1582. Suppose -3*y = -5*y + 66. Calculate the smallest common multiple of o(-41) and y.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4, 7, -664, -5, -4, 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 61, 74, 67, 34?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/29907 and -92\/45?\nAnswer: 149535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/2 + 71515*x**3\/2 - 2501867*x**2\/2 + 4789193*x\/2 - 1179420 = 0 for x.\nAnswer: 1, 33, 71480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 1b1?\nAnswer: -1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 take away -25.4?\nAnswer: 26.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -92148, 2 in decreasing order.\nAnswer: 2, -66, -92148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(77) - sqrt(77))*-2 + sqrt(77))*5)\/((5*sqrt(110)*-2)\/sqrt(10)) + 5.\nAnswer: -5*sqrt(7)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c - -cf7f?\nAnswer: cf63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 17 = -4*k + 47, 5*k = b + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -9*j**2\/2 + 2*j - 11. Determine c(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3393006 is divided by 481.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4402 + 4094. Round l to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*k - k + 20 = 0, 2*w + 17 = 3*k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/7 - 15\/(-28). Let s = 5526.1 - 5530.1. What is the closest to 7 in 2, d, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {g: 4, k: 6, z: 3, b: 1}.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2, 2*f = 2*r - r + 6. Let h be (-76)\/r + (-12)\/(-30). Suppose -h*z = -750 + 110. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*d = 2*d + 169, 0 = 5*i + 3*d - 213. Calculate the highest common factor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.2 equal to 3728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 136*g + 12. Let o(t) = -13*t**2. Determine x(o(w)).\nAnswer: -1768*w**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 11*l + 17*l. Let z(n) = 4*n + 1. Let f be z(1). Let p be (-10)\/5*f\/12. Which is smaller: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - g - g)*(0*g**2 - 9*g**2 + 11*g**2 - 35*g).\nAnswer: 2*g**3 - 35*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -6*l - 2*a, -454*l + a = -455*l - 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m - 3. Let k(c) = 3724*c + 28. Calculate 10*a(f) + k(f).\nAnswer: 3704*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(200) + -3)*3 + -1*(sqrt(200) - (sqrt(200) + 0 + -1)))**2.\nAnswer: -1200*sqrt(2) + 7300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180\/8 + 2\/(-4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 2*n. Let v(z) = z**2 + 10*z + 9. Let x be v(-9). Let c be 1\/(-3) - (-26)\/6. Suppose -1 = 5*g + c*o - x, -2*o = g - 1. What is m(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**5\/20 + 5*t**2. Let c(m) = 5 + 6 - 11 - 2*m**2. Let j(k) = k**2. Let o(n) = 4*c(n) + 3*j(n). Determine p(o(i)).\nAnswer: -75*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 16*m**2 - m - 20*m**2.\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28196, 28194, 28192?\nAnswer: 28190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 754, 17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167455 is divided by 829?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2939990 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300324 and 472061.\nAnswer: 164277228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 + 7*y**4 + 2*y**4 + (2 + y - 2)*(0*y**2 + 0*y**2 - 2*y**3) - 2 + 8 - y**4 - 2*y**2 - 10.\nAnswer: 6*y**4 - 2*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 260989?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150 + -87. Calculate the highest common divisor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(414 + 365 - 1037)*(3*c - c + 0*c).\nAnswer: 1032*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)*o**(-6))\/((o*o**(2\/17)\/o)\/(o\/o**(-7\/2))) assuming o is positive.\nAnswer: o**(-131\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3961813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -2\/3, 4, 66?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/12 - 86\/(-8). Let q be (-12)\/60 + (-28)\/a. Is 2 + 1 + q + 45 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1495 - 1495 - 3*u. Let t(n) = -20*n**2 + 8*n - 8. Let r(g) = 7*g**2 - 3*g + 3. Let o(f) = 8*r(f) + 3*t(f). Determine h(o(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.8 - -1.8. What is the biggest value in -0.5, b, -1\/6, -2\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + (-51008)\/(-1760) - ((-9)\/(-5) + -2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 390, 391, 392, 393, 394?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5742852222.\nAnswer: 2, 3, 957142037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/32)\/((-1)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3236, -3233, -3230, -3227?\nAnswer: -3224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/2 + 2 - -3. Let w = -55 - -45. Is (212\/u)\/(w\/15*1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2798343 - -2.\nAnswer: 2798345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308218323.\nAnswer: 3, 7, 19, 772477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (32 - 32 + 8*f)*(0 - 1 + f - 2*f)*(1675 - 206 + 67) as b*f**2 + i + o*f and give b.\nAnswer: -12288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3431207.\nAnswer: 13, 79, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -21. Suppose 17*g - 237 = -662. Let m(w) = -w**2 - 27*w - 43. Let u be m(g). Calculate the greatest common divisor of v and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 3*r**2 + 2*r**2)*(171 - 25 + 240).\nAnswer: 772*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 5:07 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20*11\/(-66))\/(40\/144)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 23 - 2)*(3*l + 5*l - 4*l)*(2*l**2 - 5*l**2 + l**2) as b*l**2 + o*l + r + z*l**3 and give z.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8757a (base 12) to base 15.\nAnswer: -37e9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 34 = 5*c, 0 = -j - j + 4. Suppose -3*v + v = -c. Does 15 divide (2\/v)\/((-1)\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 56\/12 + (-6)\/9 + 1. Let k = -36 + 38. Factor 7*n**2 + 2*n**3 - t*n**2 - 4*n**k.\nAnswer: 2*n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7375377530 + -32998.\nAnswer: 7375344532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2191 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*i = 31, 3*g - i = g - 11. Let l = -3688 + 3689. Which is the biggest value? (a) -1 (b) g (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o + 35. Let w be f(17). Let q = 73 - w. Does 2 divide (-1)\/(-3) + 10\/(-45)*q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 1\/2*w**2 + 0 = 0. Calculate w.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/22284 and 75\/284?\nAnswer: 1582164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5)*c**6)\/(((c**(-2\/39)\/c)\/c*c)\/c**(-10)))**(-18) assuming c is positive.\nAnswer: c**(1860\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9202969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q. Let o be f(-2). Let h be ((-20)\/6)\/o*(-3)\/45. Which is the third biggest value? (a) 1\/4 (b) 3 (c) h (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**9\/18144 + t**8\/3360 - t**6\/540 - 5*t**3\/3 - 17*t**2. Let g(v) be the first derivative of m(v). Let g(d) = 0. What is d?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*g**2*j**3 - g**2*y - g*j**4 - 10*g*j**2*y - 13*g*y**2 - 3*j**4*y**2 wrt j?\nAnswer: -240*g**2 - 24*g*j - 72*j*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 521a2 + -1?\nAnswer: 521a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.88558l in millilitres?\nAnswer: 20885.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + r**2 + (-3*r**2 + 3*r**2 + r**2)*(14 + 2 - 5) - 2*r**2 - r**2 + r**2 + 1 - 1 + r**2.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 536 - 1232. Let w = 1087 + k. List the prime factors of w.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 2. Let l be v(0). Let s be 46\/120 - l\/8. Which is the smallest value? (a) s (b) -5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51.8 + -0.8. Let f = o + -51.00000165. What is f rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 74617, 74623, 74633, 74647?\n\"Answer: 2*m**2 + 74615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m - 7 - 4 + 11. Let b(r) = -3 + 5*r**2 - 1 + 4. What is f(b(j))?\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/13 + 462*q**2\/13 + 35574*q\/13 + 913066\/13.\nAnswer: 2*(q + 77)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -288454.8 to the nearest one hundred.\nAnswer: -288500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.21745 to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) -9 (c) 3 (d) -14 (e) -1\/4 (f) 0.6 (g) 1.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 - 5*d + 2. Let k be r(3). Let a be (-3)\/((-18)\/750) + 8\/(8\/1). Calculate the highest common factor of k and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 27.051\nAnswer: -27.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 11 - 71 = 5*m, m + k + 16 = 0. List the prime factors of (m\/5)\/(6\/(-15)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**5\/10 - b**4\/8 + 5*b**3\/6 - 3*b**2\/2 - 4*b. Let k(z) be the first derivative of j(z). List the prime factors of k(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580*t - 1206 = 526*t + 1008 for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from {h: 3, x: 1, f: 1, j: 3, v: 1, z: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(26)*-1)\/sqrt(2))**2 - sqrt(13)).\nAnswer: -sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 34*y + 63. Calculate s(32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44*d**2*h - 262*d**2 + 12*d*h - 28952*h - 4 wrt d?\nAnswer: 88*d*h - 524*d + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-3))*l*l*l**(-5))**(-3\/13) assuming l is positive.\nAnswer: l**(18\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*u + 28*u - 119908. What is the remainder when u is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.07 + 84.53. Round h to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**4 + 249*t**3 + 10*t**2 + 52*t?\nAnswer: 48*t + 1494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 34 = 5*d, -5*d + 3*m - 3303 = -3267 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2668119 and 129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 74207*y + 18268108. Calculate a(247).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -89 or -268\/3?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 9*o - 38. Let r be w(6). Let j(g) = -g + 18. Let u be j(r). What is the third derivative of 57*s**2 - 13*s**2 + 8*s**3 - 21*s**u wrt s?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + k + k + 5*k**4 - 3*k**4 + 2*k**4 - k**4 + (1 + 2*k**2 - 1 + (0*k**2 - 2*k**2 + 0*k**2)*(0 + 1 + 1))*(-42*k**2 - 766*k + 766*k).\nAnswer: 87*k**4 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3215571 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4983289 is divided by 678?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + ((-3*(-1 + sqrt(320)) + sqrt(320))*2 - (-2 + (sqrt(320) - (2 + sqrt(320))) + 0))**2*-2.\nAnswer: -10442 + 1280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4824487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q**2 - 3. Let m(v) = -3*v**2 + 2. What is 4*l(o) + 7*m(o)?\nAnswer: 3*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i - 2*i - 12*i + (52*i - 22*i + 31*i)*(14 + 15 - 34).\nAnswer: -313*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 457 + -463. Let k(t) = -12*t**3 - 5*t**2 - 5. Let o(j) = -13*j**3 - 6*j**2 - 6. Calculate q*k(d) + 5*o(d).\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 20 = 2*c + a, -1 = -2*c + 3*a. What is the remainder when (-4)\/(-18) - -374*1\/18 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7575331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**3 + 3*a + 3. Let b(i) = -4*i + 28*i**3 - 25 + 5 + 5*i - 21*i. Calculate -6*b(g) - 40*k(g).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(14)\/sqrt(2) + -3.\nAnswer: -3 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 0*b - b + 1)*(-b**2 + 238 + 92*b - 120 - 119).\nAnswer: b**3 - 102*b**2 + 921*b - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.2 - -12. Let d = c + 0.23. Let z = d - 0.03016. Round z to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 5*x - 2*x)*(173*x**2 - 173*x**2 - 2*x**4 + 77).\nAnswer: 2*x**5 - 77*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - -56) + (0 - 5)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7623) - 1*sqrt(7623))*-4 + 3*-2*sqrt(7623))*-3)\/((sqrt(27) - sqrt(135)\/sqrt(5)*6)\/(sqrt(12)\/sqrt(4)*-6)).\nAnswer: 1188*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*l - 197*l - 2 - 226*l + 11.\nAnswer: -283*l + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174 + -174. Which is bigger: w or -2\/19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7767932?\nAnswer: 2, 1941983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(1\/2)*c))\/c**3)\/(c*c**(2\/3))**(-1) assuming c is positive.\nAnswer: c**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21879.\nAnswer: 3, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 76538, 148093, 219646, 291197, 362746, 434293?\n\"Answer: -q**2 + 71558*q + 4981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5917413 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (490\/(-210))\/((-14)\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3\/8, 0, -5, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-170)\/(-255))\/(75\/9)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/(-6))\/((-3)\/18). Suppose 0 = 5*v + k*y - 0*y - 45, y = -5*v + 25. Is 1 + v - 3 - -647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027479 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -1288603 in descending order.\nAnswer: 3, -3, -1288603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -14. Which is the third biggest value? (a) q (b) 0.1 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 730, 723, 696, 637, 534, 375, 148, -159?\nAnswer: -558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1331) + 3)**2)*2.\nAnswer: 132*sqrt(11) + 2676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8288 in -1, -0.4, -33, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521 divided by -2?\nAnswer: -1521\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**2 - 2*t + 1. Let r(k) = k - 1. Let l(w) = g(w) + 3*r(w). Let c = -13 - -12. Let n(p) = p**2. Calculate c*l(o) - 5*n(o).\nAnswer: -2*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2225.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102020012 - -11200?\nAnswer: -102001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwiwii. Give prob of sequence wiw.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**8\/25200 - g**7\/1260 - g**6\/150 - 2*g**5\/15 - 3*g**2. Let f(s) be the third derivative of l(s). Factor f(v).\nAnswer: -4*(v + 2)*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001231 (base 4) to base 12.\nAnswer: 34439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 222 - -295. What is the tens digit of a + (4\/16)\/((-4)\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1215)\/3510)\/(-6*4\/52)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 = 0, -3*n - 10 = -10*k + 5*k. Let a be n\/(15\/(7 + -2)). Solve a = 2*r - 6*r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01285432389 to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 114492 divided by -47?\nAnswer: -2436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 + 1. Let q be p(1). Let i = -50 + 249\/5. Which is greater: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15971522.729 rounded to the nearest one hundred?\nAnswer: 15971500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in sixty-one halves of a tonne?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -158 + 171.7. Let v = -2328162 + 2328175.70069. Let t = v - u. Round t to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4096 is divided by 606.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13086841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 4 = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 4*b = -15. List the prime factors of (-2)\/b*10\/((-120)\/(-3474)).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y + 6*y + y + 2*y + 10*y. Let v(q) = -8*q**2. Calculate r(v(k)).\nAnswer: -176*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, 82, 359, 872, 1699, 2918?\nAnswer: 4607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-11)\/5)\/(10\/50))\/(-1). Differentiate 17 + 286*z**3 + 11*z**2 - s*z**2 - 61*z**3 wrt z.\nAnswer: 675*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/139384 and 83\/99560?\nAnswer: 696920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 0*z - 7\/5*z**5 + 0*z**3 - 2 + 0*z**4 - 2*z**2. What is the second derivative of x(s) wrt s?\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -3, 4, 11, 0, -6, 5 in ascending order.\nAnswer: -6, -3, 0, 4, 5, 11, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**(3\/7)))\/v)**48*v**(-1\/25)*v**(-14))**(-2\/25) assuming v is positive.\nAnswer: v**(28914\/4375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*j**5 + 8*c*j**2 + 2*c - 10*j**6 wrt j.\nAnswer: 120*c*j**2 - 1200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -2, -1758350.\nAnswer: -1758350, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -3191*n**9\/504 + 1167*n**5\/20 - 293*n**2 + 2. What is the third derivative of z(i) wrt i?\nAnswer: -382920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58*b*m**2 + 323*b - m**2 wrt m?\nAnswer: 116*b*m - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -504 - b8c89?\nAnswer: -b928d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 578710374.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -76*u - 2593. Calculate k(-34).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31872.34ng?\nAnswer: 0.00000003187234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 15*q - 6. Calculate the remainder when 119 is divided by n(-12).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7561, -7562, -7563, -7564, -7565, -7566?\nAnswer: -7567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + -1)*110\/20. What is the units digit of (-2416)\/d + 4\/22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 832891 and 0.7.\nAnswer: 832891.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -817*z - 99. Suppose 0 = 4*m + f + 40, 5*m - 2*f - 2 + 52 = 0. Is s(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2978 - -0.7.\nAnswer: 2978.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2048)*-1 + sqrt(32) + 1 + 1*sqrt(32) + sqrt(32))**2 + (sqrt(352)\/(sqrt(11)*-2) - sqrt(128)\/(sqrt(4) + sqrt(36))).\nAnswer: -43*sqrt(2) + 801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 2, 6\/197, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37510931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 - 53. Let z(x) = x - 2*x + 3*x - 4. What is the least common multiple of m and z(3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10074787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 53. Let j(w) be the first derivative of -w**2\/2 - 52*w - 3771. What is -3*d(p) - 4*j(p)?\nAnswer: p + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1491 is divided by 1\/(39\/2529) + (-6)\/(-39)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = 16*y + 14*y - 5 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/79 - 152\/237. Let u = -2\/155 - 12\/31. Which is the smallest value? (a) l (b) u (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/3)\/(94\/13959). Is -2 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -10499*w + 356565. Calculate o(34).\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(168) - sqrt(42))\/sqrt(6) - sqrt(7)) + (-1*sqrt(63))**2 + -1 - 6*((sqrt(1008) + 0 + sqrt(1008))**2 + (sqrt(42)\/sqrt(6)*-2 + sqrt(7))**2).\nAnswer: -24174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24485?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 887713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (777\/1850)\/(12\/(-10)). Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 10*h - 8 - 14*h as f*h + x and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**4*s - 2*a**3*s*v + 258*a**3*v + a**2*s*v + 22*a**2*s - a**2 + 2*s*v + 2*v wrt a?\nAnswer: 48*a*s - 12*s*v + 1548*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w + 3*w + 2*w**5 + (5*w - 5*w + 2*w)*(3*w**4 - 5*w**4 + 4*w**4).\nAnswer: 6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/5 - 1676*y**3 + 8394*y**2\/5 + 50292*y\/5 = 0.\nAnswer: -4191, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + sqrt(608))*-1)\/(1*sqrt(288)).\nAnswer: -5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 7905 = 9*t - 4*t, 7*t - 3157 = -2*y. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 320, -3, 2\/17, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/6*(-3 + 2)*-9. Solve b*y - 5*o = 3, 2*y + 4*o - 2 = -0*o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1507612 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -356 - 2?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 8, z: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 537738.\nAnswer: 537735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1594055036.\nAnswer: 2, 7, 4799, 11863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 e, and 2 x when four letters picked without replacement from {f: 2, e: 1, x: 8, b: 5, y: 3}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 1. Suppose -5*t + 5*v = -4*t + 21, -2*t - 4*v + 28 = 0. Let p be (-4)\/t + 1*4. Let k(m) = -4*m - 4. Let r(a) = p*w(a) + k(a). What is r(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333638828 to the power of 1\/3, to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -821, -106, 783, 1846, 3083, 4494?\nAnswer: 6079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001000001100101 (base 2) in base 15?\nAnswer: -20586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 6721100245.\nAnswer: 6721100245.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8235.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((0 + sqrt(1573) + sqrt(1573))*4 + 2*sqrt(1573)*-4)**2 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2 + 7476*d + 13972644 = 0. What is d?\nAnswer: -3738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/7)\/j*j**(-8))\/((j**7*j)\/(j\/((j\/(j\/((j*j*j*j**0\/j)\/j)))\/j*j)))*j*j*j*j\/j**(-1\/17)*j**(2\/19)*(j**0)**(15\/2) assuming j is positive.\nAnswer: j**(-29991\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = -33. Let m(d) = 16*d**2 - 6*d**2 - h*d**2. Let o(n) = 3 - 3 - 5*n. Determine m(o(v)).\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 15 = -2*n. Calculate the remainder when n is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 5*m + 12. Let u(t) = t**3 - 2*t**2 + 2*t. Let v(i) = i**3 - i**2 + i. Determine m*u(p) - 5*v(p).\nAnswer: -2*p**3 - p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence woo when three letters picked without replacement from {w: 10, o: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.8 + -8.9. Let o = w + 5. Let q(d) = 2*d - 9. Let a be q(6). Sort a, -5\/4, o.\nAnswer: -5\/4, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*g + 2139 - 714 + 1033 = -518 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 275 + -288. Sort l, 4, -1\/4, -48.\nAnswer: -48, l, -1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 6:36 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r. Let l(i) = i. Let a(b) = 17*l(b) - 6*z(b). Let p(g) = -8*g. Calculate p(a(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/36)\/(2\/6). Sort j, -3\/2, -2\/11 in decreasing order.\nAnswer: j, -2\/11, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 - -1. Let s = i - 1.2. Let d = 2 - 4. Which is the nearest to 0.1? (a) 2 (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**3 - 5*u**3 + 0 - 13*u**2 + 0 in the form q*u**2 + c*u**3 + y*u + p and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*c**3 - 105*c**3 - 15*c**3.\nAnswer: -176*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 5*x**2 + 5*x + 2. Let m be l(-3). Solve -m*c - 4 = -14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -98.1 and 21798106254?\nAnswer: 21798106352.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 10, 2, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3194 - 1638 = -4*k + 4*g, -5*g + 6070 = 5*k. Let z = k + -517. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n - r - 264, 4*r = 0. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 123900 and 144900?\nAnswer: 8549100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2275 and 1429925?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.103491334 + -0.3?\nAnswer: -0.196508666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) + sqrt(891) + -2 - sqrt(22)\/(sqrt(2)*6).\nAnswer: -2 + 107*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -2 - (-3 + 3) - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 220*i + 1495. Determine d(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 29*w - 995. Give c(41).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 - 53 = -3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 362 - 361.72. Which is smaller: -6 or m?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g**2 - 21*g - 3. Let z(x) = x**2 - x - 1. Let t(a) = 9*a**2 - 17*a - 7. Let o(l) = t(l) - 6*z(l). Let d(i) = -7*o(i) + 4*y(i). Give d(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 + 52. Let i be c - (103512\/39 - (-14)\/(-91)). Let n = -1583 - i. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -65. Let t(z) = -z**3 + 27*z**2 - z + 44. Let f be t(s). Suppose 8*w = f*w - 360. Calculate the smallest common multiple of w and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*f - 9 + 43*f + 60*f as a*f + b and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + (-101)\/(5050\/4350)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*h - 121 + 125, -2*h + 10 = 5*v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7139 is divided by 7123.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 152\/36 - 6\/27. Let c(w) = 23 - 5*w - 8 + j*w. Is 5 a factor of c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.22 in 3464, 0.14, 4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1890156 - -1179456833\/624. Let z be 13\/91 - (-374)\/(-2912). Let p = z - b. Sort p, -5, -1\/2.\nAnswer: -5, -1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43 + 118 - 42)*(11*f + f + 3*f) + 3 + 3*f - 3 to h + x*f and give x.\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (2 + -1))\/(21\/(-189)). Let x be v\/(-9)*3\/(-1). Solve 2*u + 3*c = 1 + 4, -x*u - c + 11 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**4\/14 + 608*i**3\/7 + 207936*i**2\/7 + 1869. Determine z, given that n(z) = 0.\nAnswer: -456, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-41 - -68) + -21 + 23 + -10\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135588 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**5\/30 - b**4\/2 - 2*b**3\/3 + 20*b**2\/3 + 8429. Find y such that u(y) = 0.\nAnswer: -10, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.8*2.\nAnswer: -51.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 215 + -210. Suppose -978 = -2*g + 2*b, v*g + 14*b - 10*b = 2472. Does 41 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41\/2 of a year?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -v - 13, -5*w + 2*w - 45 = 5*v. Let t be 380\/(-608)*(0 + 1)\/5. Which is the fourth smallest value? (a) t (b) w (c) -2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25.489 and -0.12.\nAnswer: -3.05868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -39*w + 40*w. Let q be (-3 - w\/30)*30\/(-4). Let a = q + -23\/4. Which is greater: -7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-67 - 2) + (-4 - -5). Let l be v\/(-70) + (-12)\/30. Suppose -2\/7*r - l*r**2 + 4\/7 + 2\/7*r**3 = 0. What is r?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 10:20 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 6 = -2*s. Let a(u) = -u**2 + 2*u + 1. Let n be a(2). Suppose q = -k - 2, 2*k + n + 6 = -5*q. Sort k, s, 0 in descending order.\nAnswer: 0, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 28234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 310*v**2. Let x(m) = -2*m - 545. Calculate x(y(l)).\nAnswer: -620*l**2 - 545","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 61?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 11 - 10 = 0. Put -1\/5, -3\/5, y in descending order.\nAnswer: y, -1\/5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 - 7*i - 65. Let f(u) = -8*u**2 + 19*u + 197. What is 4*f(y) + 11*l(y)?\nAnswer: y**2 - y + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 488, -900, -4 in increasing order.\nAnswer: -900, -4, 488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 + -1. Let k = -77 + 47. Let z = k - -31. Which is the closest to -1\/23? (a) u (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7268517 rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/5 and 23\/1418.\nAnswer: 7090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**10\/2520 + q**6\/180 + q**3 + 8*q**2. Let w(h) be the first derivative of u(h). Find the third derivative of w(l) wrt l.\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, c: 4, a: 1}. What is prob of picking 4 c?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 13\/14275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 47846655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 205. Let a(b) = -4*b - 220. What is 4*a(r) - 6*g(r)?\nAnswer: -10*r + 350","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8926, 8654, 8202, 7570?\nAnswer: 6758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4\/3 - 304*j**3\/3 - 308*j**2 - 928*j\/3 - 310\/3 = 0.\nAnswer: -1, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/17 (b) 10 (c) -1\/4 (d) -0.03 (e) -4088 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29315\/385 + -67)\/((-2)\/4 + 90\/140)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sib when three letters picked without replacement from {i: 1, e: 1, b: 11, s: 2}?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 + ((-19118)\/33)\/(-22))\/(36\/2).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7c5 (base 15) to base 16.\nAnswer: 6e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 6:33 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 10. What is x(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12555*y**4 + y**3 + 103262*y**2 wrt y?\nAnswer: -301320*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**2\/6 - 121*s\/3 + 14641\/6 = 0.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 29*d**2 - 1 + 13*d**2 to n*d**2 + z + s*d and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7958, 15837, 23788, 31811, 39906, 48073?\nAnswer: 56312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113143 (base 5) to base 9.\nAnswer: -5646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**8\/20160 + f**5\/5 - 11*f**2. Let y(q) be the third derivative of j(q). Suppose y(m) = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 2:35 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 749598198662\/143 + -5241921919. Let m = z - 23526. Find the common denominator of -59\/132 and m.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**5\/10 + 5*r**4\/24 - r**3\/6 - 28*r**2. Let d(i) = 17*i**2 - 14*i + 3. What is 4*d(x) + 11*s(x)?\nAnswer: 2*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*(-118 + 236 - 111*u - 120) to the form c*u + j and give c.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 7*v + 3. Let a = 16 - 9. Let g be d(a). Let x(b) = -2*b - b**2 - b**2 + 4*b**2 - b**2. What is x(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 9:56 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*u**4 + 67\/3*u**3 - 118*u**2 + 144*u + 0 = 0. Calculate u.\nAnswer: -72, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 1\/20*d**5 + 0*d**4 + 0*d + d**2 + 0*d**3 + 79. Let z(g) = 13*g. Give o(z(a)).\nAnswer: 507*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 74508 divided by -4?\nAnswer: -18627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 21 = 3*v, -5*v = -4*v - 3*w + 3. Let t(c) = -2*c**3 + 25*c**2 - 11*c - 4. Calculate the remainder when t(v) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10676, 11098, 11520, 11942, 12364, 12786?\n\"Answer: 422*o + 10254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - c - 5*w + 65 = 0, -11 = c + w. Let v be (-83)\/(-5) + c\/(-30). Let u = v + -14. Sort -4, -5, u.\nAnswer: -5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11481*l - 2555 - 5673*l - l**2 - 5812*l + (-l + l + 2*l**2)*(-3 - 4 + 5) + 5*l**2 - 5*l**2 - l**2 + 4*l**2 - 5*l**2 + 0*l**2.\nAnswer: -7*l**2 - 4*l - 2555","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 7, 34, 83, 160, 271, 422, 619?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + k = -9. Suppose -40 - 20 = -12*x. Suppose 2*c - 70 = -x*j, 4*c - 80 = -8*j + k*j. Calculate the greatest common divisor of j and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 32 = 32. Let b = v - -49. Suppose 2*g = b - 3. Calculate the smallest common multiple of g and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -57*c + 13. Let s(u) = -u - 2. What is -l(w) - 3*s(w)?\nAnswer: 60*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15\/4 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1314375 is divided by 445.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjj. Give prob of picking 2 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 14*s**2 - 49*s - 467. Let l be w(-13). Which is smaller: l or 38\/53?\nAnswer: 38\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 3 = -6*c. Suppose c*m - 28 = -m. Let p(t) = 3*t - 9. Does 4 divide p(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108223 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9039 = 10*y - 15921. List the prime factors of y.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + 3*r**3 + 0*r**3 + 0*r - r**3 + 0*r + (-5*r + 2*r + 2*r)*(-2*r + 2*r + r**2) + 0*r**3 - 2*r**3 + r**3 - 2*r**3 - 3 + 3 + 15*r**3 + 48 - 48.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j - 1. Let t(d) = -3*d + 1. Suppose 3*g = 6*g + 5*w + 28, w + 20 = -3*g. What is g*t(a) - 10*r(a)?\nAnswer: -2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.072 + -0.572. Let j = 1.95 - -0.45. Let f = j + -0.4. What is the nearest to f in s, 3, 0.06?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1416463.30079 + 1416537.3. Let t = 74 - l. What is t rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17400 = 177*h + 19347 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87361416 to the power of 1\/3, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kksacaracaspacscakck. What is prob of picking 1 r and 2 k?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/87 (b) -1 (c) -3\/23 (d) 1 (e) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 10*u - 3. Let s = 30 + -30. Let v(h) = s*h + h + 3837 - 3836. Let c(x) = d(x) + 3*v(x). Let y(r) = -7*r**2. Calculate c(y(f)).\nAnswer: -91*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16171, -16159, -16133, -16087, -16015, -15911, -15769?\nAnswer: -15583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70699 is divided by 86?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-9) + (-12)\/(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254059249 to the power of 1\/2, to the nearest integer?\nAnswer: 15939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 15) to base 7.\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(8 + 9 + -19) - 6486\/799\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 11*r - 4. Let s = 57 + 147. Suppose 5*a - 141 = s. Calculate the remainder when a is divided by x(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + r**2 - 4*r - 6. Let h be y(-2). Sort 2, -3, h, 5.\nAnswer: -3, h, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -3.6. What is the biggest value in 1\/6, -1\/2, c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + 3*j + j)*(-2 + 0 + 0) - 560*j - 206*j + 301*j - 1 + 1 + 2*j to k*j + c and give k.\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230, 1304, 3690, 7880, 14366, 23640?\nAnswer: 36194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010110110001010111 (base 2) in base 10?\nAnswer: 617559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -581*-377.32\nAnswer: 219222.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**3 - 168*a**2 - 164*a - 400. Calculate u(57).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(396) - (sqrt(11) - -1*(sqrt(11) + sqrt(11)*1 + sqrt(11)))))**2 - (sqrt(176) + sqrt(176)*2 - sqrt(176))\/((3*sqrt(20))\/sqrt(5)).\nAnswer: -4*sqrt(11)\/3 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4 + 585*n**3 - 5941*n**2 + 5355*n = 0.\nAnswer: -595, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 5) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (11\/(-88))\/(1*9\/(-1740)) and -31\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*f**5 + f**6 + 194*f**2 + 57*f**5 + 16*f**2 wrt f?\nAnswer: 120*f**3 + 1200*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1631 + 294 = 3*a + 4*f, f - 2558 = -4*a. What are the prime factors of a?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1210 = 5*h, 3*j + 312 = 2*h - 172. Let a = 455 - h. Let i = -77 + a. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -8*w + 23. Give y(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28375 - 56719 + 28344 - 4*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/306 and -23\/2481558.\nAnswer: 7444674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(55) + sqrt(110)\/sqrt(2))\/sqrt(5) - 5*sqrt(11)*1) + -5 - (1 + sqrt(1100) + 4 + (sqrt(1100) - (sqrt(1100) + -1))))**2 + 2.\nAnswer: 286*sqrt(11) + 1985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (9 - 1 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 14796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28552*-189.\nAnswer: 53.96328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/((11\/(-3))\/1)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**17*c*c*c*c**(20\/7) assuming c is positive.\nAnswer: c**(174\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o + 19. Let z be 3\/(-5) + 192\/20. Let h be x(z). Let m be ((-2)\/(-2))\/(-4 + -5). Is h <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 5*m**2 + m. Calculate d(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 224 = -28. Let m be 560\/s*3\/4. Determine t, given that -18\/7*t**3 - 4\/7*t + 10\/7*t**4 + 2*t**2 + 0 - 2\/7*t**m = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2221 and -0.2.\nAnswer: 444.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 27 - ((-44 - -22) + 63) - (-4 + -1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 12702.55 minutes?\nAnswer: 762153000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -7\/3*l**3 - l - 2 + 0*l**2. Let i be (1 + -5 + 6 - 1)*-1. Determine c(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(27762\/5544 + -5) + 3\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.4, 2\/53, 1\/2, -3 in descending order.\nAnswer: 1\/2, 2\/53, -0.4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62227 (base 10) to base 11.\nAnswer: 42830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117248 and 2977?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.52 + 0.02. Let v = 0 + 4. Let g = m + v. Which is the smallest value? (a) g (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 107 = -3*z, -3*x + 3*z + 69 = -0*x. Let l = -12 + x. Solve -l = -2*v + 3*p, 0 = 2*p + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 t when four letters picked without replacement from tytyyyt?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7750 is divided by 425?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and -0.047.\nAnswer: 0.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 11610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t**2 + 2*t**2 + 3*t**2)*(1 - 4 + 5) - 15*t**2 + 24*t**2 + 1 - 7*t**2 to f*t**2 + s*t + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lii when three letters picked without replacement from lnnniillnnl?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 3*c**2 + 4*c - 3. Let i be z(5). Suppose 5*k + m = -13 - 80, 69 = -4*k + m. Let f = k - i. What is the highest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - 11. Let a = k - -18.13. Let c = -0.0135 - -0.4135. What is the closest to 0.1 in c, a, 2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, 3, 29, 2, -59, -0.3 in increasing order.\nAnswer: -59, -0.3, 2, 3, 29, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*f = -667, -58*q + f + 664 = -53*q. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (0 + (14 - 3 - 8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22711.6 + -22711.53569551. Let b = -0.0643 + k. Round b to seven dps.\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, b: 1, t: 6, o: 4}. Give prob of sequence tab.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18121879 and 36631?\nAnswer: 5233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d - 5*d + 8 + d. Is j(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, -10, -6.7, 0 in descending order.\nAnswer: 8, 0, -1, -6.7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g + 4*g - g. Let t(c) be the second derivative of -c**4\/12 + 23*c. Determine t(h(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35 - 0.05. Suppose 6*z - 8*z + 10 = 0. Suppose -5*h + 15 = 5*k, -3*h + 21 = -4*h + z*k. Which is the third smallest value? (a) y (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 723 divided by -21?\nAnswer: -241\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w**2 + 2. Let t(k) = 9*k**2 - k - 4. Let v(i) = i**3 + 6*i**2 - 7*i + 7. Let x be v(-7). Determine x*p(f) + 3*t(f).\nAnswer: -f**2 - 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhhchbj. What is prob of sequence hhh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (18\/5)\/(168\/560)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4467085?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**5 + 110*n**3 - 110*n**3 + (n**2 - 2*n**2 + 0*n**2)*(-4*n**3 + 3*n**3 + 8*n**3).\nAnswer: -11*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 4:04 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9895 + 49472\/5. What is the nearest to 1 in -2\/7, -12, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-10))**(-25)*(w**(-15))**(-49) assuming w is positive.\nAnswer: w**985","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 369708831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbdjbbkjkb. What is prob of sequence kkb?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 6:00 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001105003 rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*u + 244. Suppose -343 = -5*w + u. Suppose -w = -0*l - 5*l + 3*i, -2*l = -4*i - 26. What is the greatest common factor of 189 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**2 - f + 2. Let j(l) = -13*l - 63. Let c be j(-5). Let h(z) = 121 - z**c + 121 - 242. Calculate -6*h(n) + p(n).\nAnswer: n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 149674221.9 seconds?\nAnswer: 247.47721875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 20\/(-8)) + 60\/(-88).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -352 + -10?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501*m - 507*m = 5*j - 1003*m - 125, 0 = -5*j + 2*m - 50 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(11) + (-2*sqrt(396) - sqrt(396))**2).\nAnswer: -7128 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-250)\/(-800))\/((-5)\/(-3))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -275 + 275.02. Let o(q) = -q**2 + 4*q + 5. Let r be o(5). Suppose -5*i - 4*k = -k - 23, i + k - 5 = r. Sort i, -5, c in increasing order.\nAnswer: -5, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 40773512.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 194 + -121. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 < -0.982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007417582975 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 154\/465 - 4\/15. What is the second smallest value in -1, -4, o, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 + -67. Suppose d = 0, 4*z + 3*d = 7 - 3. What is the greatest common divisor of z and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-2)\/2*75\/((-17850)\/(-68))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 296373022*q - 405974904 wrt q?\nAnswer: 296373022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -70594 and 5?\nAnswer: -352970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -1107\nAnswer: 5535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-1886))\/(13 + (-22 - -12)). Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232183*q**2 + 2*q**3 + 464379*q**2 - 232190*q**2.\nAnswer: 2*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 2216, 7809, 18902, 37379, 65124, 104021, 155954?\nAnswer: 222807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 621\/4?\nAnswer: 621\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1\/3 (c) -2\/2741 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -8962*z**2. Let j(r) = -2*r. What is j(p(f))?\nAnswer: 17924*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -20101022201101?\nAnswer: 20101022201200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 627159014?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*w*z**3 - 2*w*z**2 - 3*w*z + 6652*z**4 - 11*z - 3103 wrt z?\nAnswer: -18*w*z - 4*w + 79824*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 354235504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 54.032. Let n = y - 59.968. Which is smaller: -2\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/12*2*-6*1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 167*y**4\/2 + y**3\/3 - 3*y**2\/2 + 3. Let j be k(-3). What is j rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6334 - 5?\nAnswer: -6342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 12:32 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -25382.7035.\nAnswer: -25382.3035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -289 - 633?\nAnswer: -911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1132065 and 9900?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 2*n - 2023 + 2018, b - 11 = 2*n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 552*c - 198100 + 198100 + (-3 - 3*c + 3)*((-3 + 3 + 1)*(4 - 2 + 0) + 3 + 2 - 4 + 3 + 0 - 1).\nAnswer: 537*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 815800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 112992 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199874?\nAnswer: 2, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15b - 4b18?\nAnswer: -498a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -56*l + 636. What is s(12)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1982, -1987, -1992?\nAnswer: -1997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4048*r**2 + 4036*r**2 - 8083*r**2. Let k(q) = -45*q - 59. Determine k(d(c)).\nAnswer: -45*c**2 - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, n: 3, h: 1}. Give prob of sequence nc.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.06, 0.4, -5, -1.2, 2, 54\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 0 + 0*l - 4*l**2 + 1\/12*l**4 + 1\/60*l**5 + 1\/3*l**3. Calculate y(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81682034 is divided by 81682015?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (182*q**2 - 365*q**2 + 29*q + 184*q**2)*(1 - 4 - 5)*(q - q - q).\nAnswer: 8*q**3 + 232*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 - 20204*w - 5822910.\nAnswer: -2*(w + 291)*(w + 30015)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11817.8 minutes to seconds.\nAnswer: 709068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(126\/(-4)) + (-305)\/35.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1597*s + 889*s - 316*s - 2 + (-2 + 4 - 3)*(0*s + 2*s - s) - 2*s + 6*s - 2*s in the form q + p*s and give p.\nAnswer: -1023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 31 (b) 1089 (c) 602\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-248200)\/1971 + 56 + 70.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.39 and 176.745.\nAnswer: -245.67555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 8:24 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 15, 10, -7, -42, -101?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -1. Let r be (909\/505)\/((-3)\/(-10)). Is r greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8626 is divided by 335.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(8\/7)*(t**0\/t)\/t)**(-49))**(-5\/2) assuming t is positive.\nAnswer: t**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1192599.\nAnswer: 3, 132511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 10*r**2. Let o(h) = -9*h**2. Let a(n) = 6*o(n) + 5*y(n). Let p(j) be the third derivative of -j**5\/20 + j**2 + j. Determine p(a(d)).\nAnswer: -48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k**3 - 1770*k**2 - 1186*k - 198 = 0. What is k?\nAnswer: -1\/3, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 836*t - 123*t + 327*t.\nAnswer: 1040*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -41. Suppose -2*z = s - 4*s + 41, s - o = -z. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4683 (base 13) in base 10?\nAnswer: 9909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*p - d + 96 - 120, -4*p - 9 = d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 186 - 49. Suppose 0 = t - 3*l - j, -3*l - 57 = 5*t - 832. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-16))\/(18\/432) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/(sqrt(100) - sqrt(100)*-2))\/((5*sqrt(80)*1)\/sqrt(10))*3)**2.\nAnswer: 2\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*c + 12*c = 335 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11, 95, 265, 499, 797?\n\"Answer: 32*b**2 + 10*b - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -10031?\nAnswer: -10031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 7:12 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 4*g. Suppose -3*w + 3 = 2*p, 2*w = -g*p + 4*p - 18. List the prime factors of 1\/(-2)*p - -14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1282792a + 4?\nAnswer: -12827926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 176680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 8513 + 3079. Does 72 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -68*n**2 + 1\/20*n**4 + 1\/150*n**5 - 1\/100*n**6 - 2\/15*n**3 + 1\/525*n**7 + 0*n + 0. Factor m(t).\nAnswer: 2*(t - 2)*(t - 1)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q + 3*q + 2*q)*(0 + 4 - 3) + 4*q - q - 2*q + 3*q + 3*q - 7*q + 113*q - 114*q - 2 + 3 + (7 + 4 - 5)*(-14 + 11*q + 14) + (2 + 4 - 4)*(-q - 3*q + 2*q).\nAnswer: 59*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -4*j + 99. Let i = 4291 + -4277. What is the remainder when j is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 3410?\nAnswer: 3408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23818096*g**3 - 36625587*g**2 wrt g?\nAnswer: 142908576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Suppose 0 = -h*l + b + 3*b + 26, -2*l + b + 23 = 0. Let n be ((-44)\/10)\/((-2)\/10). What is the highest common factor of n and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 f when three letters picked without replacement from ssffsssffssffffsfss?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*t + t, -3*t = 5*y - 359. What is the highest common factor of 70 and y?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 76. Let l be d(-17). What is the highest common divisor of l and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from {v: 2, j: 11}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -206, -446, -790, -1244, -1814, -2506, -3326?\nAnswer: -4280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywyrwwy. What is prob of picking 1 w and 1 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 2*c + 7. Let f be g(3). Let v(q) = q - 2. Let l be v(0). Let p = l + f. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12879132?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025509948491 to 6 decimal places.\nAnswer: 0.002551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -5 in decreasing order.\nAnswer: 6, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(((-14)\/42)\/(((-2)\/(-8))\/((-14)\/(-56))))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.539 - 0.339. Are c and -47.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48439069*f**2 - 7598613?\nAnswer: 96878138*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 852\/47?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - 39 - (1 + -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3651 = -3*m + 2652. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 2 = 13*y. Suppose -303 = -y*g + 11. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 - -92. Suppose 4*o - 69 = -k. Solve -3*g = -0*g + o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2004 (base 5) to base 13.\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3100087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(5)*-1 - sqrt(5)) + sqrt(45) + 0.\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*u + 8 = 4*w, 0 = 5*w + u - 76. Let v = 15 + w. Suppose 2*s - 27 = -h - 4, -5*h + v = 4*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 - 115216?\nAnswer: -115252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 297742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 316011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 5\/((-30)\/26)) + -2. Sort 2, n, -1\/6 in ascending order.\nAnswer: -1\/6, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24918825 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -16. Let z = p - -8. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wpcpxcpppppw?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 20. Solve -u = u + 5*b - 30, 2*u = f*b - 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/((-4998)\/(-532))*(-18)\/10*410\/246.\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d**2 - d**2 - 2*d**2)*(-2 + 2 + 2*d - d + 0 + 0 + (0*d - 3*d + d)*(-3 + 3 + 1) - 4*d + 9*d + 4*d).\nAnswer: 32*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 264*y**2 - 511*y + 1043. Give b(-130).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 bigger than 61\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 8 = 4*p, 5873*j + 2*p + 4 = 5874*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + n - n)*(49*n**2 + 440*n**2 + 73*n**2).\nAnswer: -1686*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 361800 a multiple of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 3*o**4\/4 + 2*o**3 - 6. Find the third derivative of q(j) wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/3 and -31\/4659?\nAnswer: 4659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63456 - 63503 + 190359 - 63460 - 2*i.\nAnswer: -2*i - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-4) + 276\/(-184). Which is the third smallest value? (a) r (b) 2\/9 (c) -10\/3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29 - 463?\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-213*l + 102*l + 95*l - 2)*(-3 + 0*l**2 + l**2 + 2).\nAnswer: -16*l**3 - 2*l**2 + 16*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 1 (b) -5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 205219 and 651146?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**4 + 48*c**3 - 129*c**2.\nAnswer: 48*c + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/71 (b) -7 (c) 1\/2 (d) -1 (e) -1\/3 (f) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(891) + 0)**2 + 2.\nAnswer: -18*sqrt(11) + 894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.160677l in millilitres?\nAnswer: 5160.677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 149.43 - 148. Let p = x + -0.23. Let n = p - 0.2. Put -2\/3, 0, n in descending order.\nAnswer: n, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (87 + -167 - -88) + 80.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4\/9))**(-8))**43 assuming c is positive.\nAnswer: c**(1376\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*s**4 + 96*s**3 - 12*s**2.\nAnswer: 3*s**2*(s + 2)*(17*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 - (-4 + 7) - (-96 + 130).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110538.\nAnswer: 2, 3, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5922 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 9.58?\nAnswer: 47.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -13*c - 37 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1800 by 360.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 4*z + 63, -z + 105 = 5*o - 4*z. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 3 + 3)*(0 - 4 - 11)*(-3*j - 15*j + 17*j - 17 + 2*j).\nAnswer: 30*j**2 - 510*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 123347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/30 + (102\/306)\/(0 + -1). Which is the closest to 2\/5? (a) r (b) -146 (c) -1\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 1, 5 in decreasing order.\nAnswer: 5, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g**2. Let v(t) = 506463*t + 4631. Let i(b) = 328*b + 3. Let r(l) = 4631*i(l) - 3*v(l). What is x(r(p))?\nAnswer: -1063446*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 542, 538, 540, 554, 586, 642, 728, 850?\nAnswer: 1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -5*q + q. Suppose -3*w - 4*n = -28, 0*n - q = -2*w + 3*n. Suppose 18*z - w*z = -102000. What is z rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10663584 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**2 + 2152968*r + 6458940 = 0 for r.\nAnswer: -3, 538245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, e: 3, a: 2, h: 6, n: 1, u: 2}. Give prob of picking 1 h and 1 a.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sonywrryrsnoyoyryy. What is prob of picking 1 r and 1 o?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/(-14)*-7*2\/4. Let b(k) be the first derivative of -1\/2*k**2 + 4*k - 6. Calculate b(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411430316.\nAnswer: 2, 11, 277, 33757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + v + 2*v + (-2 + 3 - 3)*(2 - 2 + v))*(1 - 2 + 0).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1. Let l(j) = -80*j. Give -2*a(m) + l(m).\nAnswer: -80*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/3)\/(-216 - -230)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*o = -70328, -4*i + 56260 = 113*o - 111*o. What are the prime factors of i?\nAnswer: 2, 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 10:26 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 128 = 120. Suppose 5*c - b - 11 = 0, 3*c + 4*b - 1 = v*c. Solve -5*o + c + 2 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113076, -226151, -339226, -452301, -565376, -678451?\nAnswer: -791526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 26908*c - 8597*c - 6430*c - 2278*c as b + k*c and give k.\nAnswer: 9603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*(o**23*o)\/o*o*o*o))\/o*(o\/(o**(-1\/50)\/o))\/o)\/(o*(o*o**22*o)\/o)**44 assuming o is positive.\nAnswer: o**(-54049\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/34776 and 25\/68176.\nAnswer: 296361072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*g - 881616 = 56*g - 269773. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.184 + 0.084. Let t = -0.59 + 0.09. Let g(b) = -b**2 + 4*b + 4. Let m be g(5). Put m, r, t in decreasing order.\nAnswer: r, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179511504100 + 179511504100 - s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*m + 136*m - 92*m + 15*m - 27*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-1))\/(-2))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/146 and 9\/2.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v - 18. Let l be b(6). Let t be (-15)\/l*2*(0 + -2). Let m(z) = 8*z**2 - z + 29. Is m(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8774.953 weeks to hours.\nAnswer: 1474192.104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 773292 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10*a**3 - a**2 + 2*a + 2. Let g be j(4). Let n = g - 1862\/3. Factor -34\/3*s**2 - n*s - 8\/3 - 8\/3*s**3.\nAnswer: -2*(s + 2)**2*(4*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.37 + 5.\nAnswer: 1.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 811, 1665, 2577, 3553, 4599, 5721?\nAnswer: 6925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (252\/(-1050))\/(384\/(-315)) and 5\/64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 5 = z, -3*z + 20 + 4 = -6*z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.07, -10 in descending order.\nAnswer: 2, -0.07, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 617.2194561 and 1.8322.\nAnswer: 619.0516561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -314, -3059, 2, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6)\/((-4)\/(-6)) - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u - 2*u - 21 + 5*u - 7*u + 4*u. Let c(o) = -o**2. Determine m(c(z)).\nAnswer: -2*z**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -0.021 (c) -3 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9 - 4\/(-2).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 125102590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14425 is divided by 119.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120 - 119.974. What is the nearest to -2 in -2\/9, -3\/5, p?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4\/5 + 3*q**2\/5.\nAnswer: -3*q**2*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 4*v**2 + 1. Let h(g) = -6*g**2 + 5. Let n(u) = -10*u**2 + 8. Let y(d) = 8*h(d) - 5*n(d). Give s(y(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 51*y**2 - 259*y + 1274. What is o(-56)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.4 and 276791 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8596 in 5, -2\/3, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 18879*k**2 - 20736. Let a(o) = 1453*o**2 - 1595. Let j(x) = 27*a(x) - 2*w(x). Differentiate j(g) with respect to g.\nAnswer: 2946*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.058 and 315651?\nAnswer: -18307.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 493.4389um in meters?\nAnswer: 0.0004934389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p = 8*p + 180. Solve 16*u - p*u = 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1027 + -1751319100.1.\nAnswer: -1751319099.9973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 4122.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1344, -1323, -1296, -1263, -1224, -1179, -1128?\nAnswer: -1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -2.67?\nAnswer: -5.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a = -3*p - 4708, 3*p = a + 956. Let l = -497 - a. Suppose l = 3*g - 2*v, 3*g = -g - 5*v + 573. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163.388 + 166. Let s = y - 2.96. What is s rounded to 2 decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -3 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (57 - (0 - 4)) + -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**2 - 1374 - 6*a + 1383 + 32*a. Is 12 a factor of v(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 - 3*c**4 + 3*c**4 + (3*c**2 - 6*c**2 + 5*c**2)*(-4*c**2 + 0*c**2 + 3*c**2).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 44*a**2. Let l(o) = 3*o**2 + 10. Let c(i) = 5*i**2 + 16. Suppose -3*f - 9 = -x + f, 5*x = -3*f + 22. Let b(z) = x*c(z) - 8*l(z). What is b(m(t))?\nAnswer: 1936*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 13*u + 223. Let m be i(-17). Factor -10\/3*a**2 + 2\/3 + 2\/3*a + m*a**3.\nAnswer: 2*(a - 1)**2*(3*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -658*z**3\/3 - 4289*z**2 - 11983*z. Differentiate a(d) with respect to d.\nAnswer: -1316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 34826021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 206966 + -40?\nAnswer: 206926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from {j: 14, g: 2, r: 1}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) 9.19 (c) 2\/7 (d) 1\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 90 in decreasing order.\nAnswer: 90, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1901 = -34*u + 337. Which is the second biggest value? (a) -4 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k + 56. Let a be z(21). Let f = a + 88. Let h = f + -15. Solve -6 + 3 = -h*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + 3*(sqrt(77) + sqrt(77)*-2 + sqrt(77)))\/(sqrt(448) + (sqrt(448) - sqrt(448)*-3) + sqrt(448)).\nAnswer: sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - x - 1. Let v(m) = -48*m**2 + m + 6. Let d(h) = -2*t(h) + v(h). Find the second derivative of d(p) wrt p.\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 9*u**2 + 9*u. What is j(10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*f + 29*f + 16 = -23*f, 3*m + 39 - 9 = -3*f for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -27. Let j be ((-2)\/(-21))\/(1\/(-6)). Put w, 2, j in decreasing order.\nAnswer: w, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.3 + 3. Sort -5, -3\/7, w in decreasing order.\nAnswer: w, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10777505 - 4151*c + 10777505 in the form t + z*c and give z.\nAnswer: -4151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*r + 12 = 95*r - 44*r. Sort r, 173, -1, -4 in increasing order.\nAnswer: -4, r, -1, 173","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 14 - 84. Let w(j) be the third derivative of j**5\/60 + j**4\/8 + j**3\/3 - 3*j**2. Let p be w(5). What is the highest common divisor of l and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 12. Let o(c) = c**2 + c + 4. Let m be o(0). Let t(a) = a + 14. Let y(v) = m*b(v) + 3*t(v). Calculate y(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaazaxaazzaxxaxaaaa. Give prob of picking 2 a.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1008)*-3 + sqrt(1008) + 5*3*sqrt(1008) + -4 + -5 + -1)**2.\nAnswer: -8160*sqrt(7) + 1165348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123885 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 394175 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/9 + 0)\/(10\/(-12)). Let n be 2\/5*9\/6. Sort k, -2, -12, n.\nAnswer: -12, -2, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/10 (b) 1 (c) 11543 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -415*t**2\/2 - 21495*t\/4 + 1105\/2.\nAnswer: -5*(t + 26)*(166*t - 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k**2. Let z(q) be the first derivative of -2*q**3\/3 + 3. Calculate i(z(j)).\nAnswer: -24*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**4\/24 - n**3\/3 + n**2 - 43*n. Let l = 3 + 2. Let g be x(l). Solve 4*c - g - 18 = f, 5*f = -25 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -11*f - 55 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 3884310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2114 + 1326. Let r = -7082\/9 - o. Let s(k) = k**2 + 5*k + 1. Let g be s(-5). Do r and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2235 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*o**5\/7 + 12*o**4\/7 - 6*o**3\/7.\nAnswer: -6*o**3*(o - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -32652413 (base 7) in base 12?\nAnswer: -b3b902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 19*w**2 - 59*w - 950. What is n(-19)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3183657?\nAnswer: 3, 53, 20023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -284.7 + 294.7. What is the nearest to -3 in -2, -5, -1\/3, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 18.0000038. What is a rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-300)\/90300)\/(3\/84*-1)?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Let x(b) = 1 - b**3 - 10*b + 11*b**2 + 2*b**3 - r*b**2. List the prime factors of x(-9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153) + -4*(sqrt(153) + (sqrt(153) - (2*sqrt(153) - sqrt(153)))) - sqrt(153)) + sqrt(153))*2)\/((sqrt(5400) - sqrt(5400)*2)\/sqrt(6)).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2683 - -0.2683. What is the nearest to j in -39, 0.4, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*a = 125. Let m be (-15 - -1)*(-2)\/(-4). Let r be (1 + 0)*(-2 - m). Calculate the highest common factor of a and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvfffyyyyvtyyvvvfv. What is prob of picking 1 v and 2 f?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -58894 + 0?\nAnswer: -58894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(85)\/(sqrt(5)*-5) + sqrt(17) - (sqrt(170)*1)\/sqrt(10)).\nAnswer: -sqrt(17)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 = 0, 2*r + 559 = -3*m + 4*m. Let y = m + -139. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kafkb. What is prob of picking 1 a and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*z - 7 - 45, z + 2*v = 17. Suppose 3*g = z, -5*g = -2*w - g + 239988. Round w to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(28)\/sqrt(4)) + sqrt(72) + 1 - ((-1*sqrt(18) - (-5 + sqrt(2) + -1))*5)**2.\nAnswer: -1699 + 1207*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 177 = -398. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*j + 2387 = 48*j. Let r = j - -216. What is the nearest to r in 15, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 922\nAnswer: -276.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 2*f**3\/3 + 3*f**2 - 2*f. Let s(r) = 35 + 3*r - 13 - 6 - 11. Give 5*s(a) - 4*x(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -677, 2.\nAnswer: -677, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6260*d + 622. Let r(c) = 6*c**2. Calculate u(r(o)).\nAnswer: -37560*o**2 + 622","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 9*p = -35. Let i = 10 + p. Solve -3*q + i*x + 3 = 0, 0 = -q + 2*x - 1 + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (474\/7)\/(54\/189) is divided by 71?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01859*-8\nAnswer: 0.14872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1005.5 + -1005.9759. Let t = -0.0419 - n. Round t to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11598.84 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1146 and 15?\nAnswer: 5730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**4\/8 + 24769*a**3\/8 + 24773*a**2\/2 = 0.\nAnswer: -4, 0, 24773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 + 81*j + 561. Calculate d(47).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.541 and -2.\nAnswer: -25.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1580431 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4120 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3562, 3569, 3580, 3595, 3614, 3637?\nAnswer: 3664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -6*h + h + 2*l, 4*h - 5*l = 16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -0*h - 140. Let m = -1 + 1. Suppose m*t = 4*t - h. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(68) + 4).\nAnswer: -10*sqrt(17) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 84?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2868*n + 15*n**2 + 2868*n.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 211788933*j**2 + 17611240 with respect to j.\nAnswer: 423577866*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -562, -1112, -1662, -2212, -2762, -3312?\n\"Answer: -550*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 18*s - 91. Give f(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29747 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 5*p**2 + 3*p + 2. Let t be w(4). Put t, -4, 0 in increasing order.\nAnswer: -4, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -391527 smaller than -391527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2. Let g(a) = -1 + 1 + 1 - 2. Let m(k) = 2*k + 2. Let r(i) = -2*g(i) - m(i). Determine r(b(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2176 (b) 4\/5 (c) 0.1 (d) 0.2 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2155970, -2155972, -2155974, -2155976, -2155978, -2155980?\n\"Answer: -2*z - 2155968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42769*c**3*s**2 + c**3 + 16840*c**2 - c - 3360*s**4 - 710 wrt s.\nAnswer: 85538*c**3*s - 13440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2648780?\nAnswer: 2, 5, 132439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 280*y - 115. Let s(w) = 158*w - 64. Let a(g) = 5*c(g) - 9*s(g). Let o(d) be the third derivative of -d**4\/24 - d**2. Determine o(a(p)).\nAnswer: 22*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1011181 from -764.1267.\nAnswer: -1011945.1267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(108) + (-1*(sqrt(108) - 2*sqrt(108)))**2 + (-1*sqrt(108))**2 + 3 + sqrt(108)*-1 + -5 + -5 + -3.\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/4 and (-1 + 339\/48)\/(4\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 88, 165, 252, 355, 480, 633, 820, 1047?\n\"Answer: j**3 - j**2 + 73*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 171348 a multiple of 654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2\/9 - 310412*n + 108400060962 = 0.\nAnswer: 698427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j**2 + 3184*j - 3161. Let c(m) = -25*m**2 + 12730*m - 12645. Let n(o) = -4*c(o) + 15*v(o). Find t such that n(t) = 0.\nAnswer: -633, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -74*o*w**2 + 409*o*w + 60019*w**2 wrt o?\nAnswer: -74*w**2 + 409*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-104)\/(-13)))\/(6\/(-16))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence toob when four letters picked without replacement from obtzkxbo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161188181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 3*n + 0*n + (3*n - n - n)*(3 + 0 - 1) - 6 - 15*n - 9 + 13)*(-n - 2 + 2).\nAnswer: 12*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -50. Suppose -r + f = 2*l - 6*l, -36 = -2*r + 5*l. What is the remainder when 37 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 211. Let k be 19 - ((-6)\/33 - h\/33). Calculate the greatest common factor of k and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 16\/21223149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 7, 6, -1, -5, 3 in increasing order.\nAnswer: -5, -1, 3, 6, 7, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16393507?\nAnswer: 13, 97003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4965 divided by -4965\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-3218)\/3217 - -1)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 554 - 0?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*j + 6 = 2*v, -5*v = -5*j - 30. Let c(y) = 6 + v - 3*y**2 - 10. Let t(u) = -15*u**2. Calculate c(t(f)).\nAnswer: -675*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659720113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**3 - 14*h**2 + 14*h - 14. Let z(w) = w**3 + 3*w**2 - 3*w + 3. Suppose -u + 41 + 39 = -3*r, 0 = -3*r - 4*u - 100. Determine r*z(g) - 6*y(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-210)\/(0 + 0 + -2). Suppose 357 = 2*d + c. What is the highest common factor of 36 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*b + 41*b - 27*b + 504 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 49 = 2*h, -26*h = -i - 7*h - 22*h - 3 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11910*846\nAnswer: 10075860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.035 * 0.04.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.965 - 0.265. Which is the closest to 0? (a) 1\/3 (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 57734, 115096, 172458, 229820, 287182, 344544?\n\"Answer: 57362*p + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1379258 is divided by 45975?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/1050)\/(30\/(-14))*(-108)\/(-81).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-267)\/28*(-2)\/3 and 67\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h**3 + 92 + 2*h - 6*h**3 - 92.\nAnswer: 23*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**2 - r + r)*(68 + 70 - 35) - 4*r**2 + 4*r**2 - 6*r**2 to the form x + f*r + w*r**2 and give w.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*o + 87*o + 99 = 0. Let d = o - -16. Find x such that 2\/3*x**3 + 0*x + 4\/3*x**4 + 2\/3*x**d + 0*x**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**3 - 31*h**2 - 84*h + 43. List the prime factors of y(-21).\nAnswer: 15919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -294.476 - -316.1. Round p to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/20078 and 107\/14.\nAnswer: 140546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3236 + -3233. Sort 11, d, -2, -197 in increasing order.\nAnswer: -197, -2, d, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.32 - 0.34. Let v = 0.05 - t. Let h = v - 5.71. Which is the biggest value? (a) -0.5 (b) 0 (c) h (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/((11\/(-6))\/11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 7*z**2 - 5*z - 1. Let h be i(5). Let k be (h\/(-18))\/((-1)\/(-3)). Which is the closest to 1? (a) -0.2 (b) -2\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2958.841 weeks in minutes?\nAnswer: 29825117.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*x + 21 = 0, x + 6 = 4*g + 3*x. Let v be (-1)\/(-3) + 2\/g. Let q = 7 + -4. What is the third smallest value in -6, q, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1.1. Let o = 2.255 - -0.045. Let l = o - 5.3. Which is the second smallest value? (a) f (b) l (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 + 243 - 117 - 127107*h.\nAnswer: -127107*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17799 - 17798. Which is the second smallest value? (a) -2\/153 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 82916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1083896 divided by -44\nAnswer: 24634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119 + -89. What is the highest common divisor of 40 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6798725 = 21*x - 1790183 + 514177. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(-2*sqrt(300)))**2.\nAnswer: 11\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 488377594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + j**2 + 29*j - 4. Is r(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3979 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - y + 60. Let a be x(11). Find the common denominator of ((-17)\/6)\/((-9)\/a) and 179\/(-63) - 4\/(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 20*l**5 + 852*l**4 - 364*l**3 - 852*l**2 + 344*l = 0.\nAnswer: -43, -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28587613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 22 = 5*u, 2*p + 379*u - 381*u + 4 = 0. Factor 0 - 8\/11*s - 24\/11*s**2 - 2\/11*s**5 - 26\/11*s**3 - 12\/11*s**p.\nAnswer: -2*s*(s + 1)**2*(s + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-7 - -17 - 20) + 18)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 1 + 1)*(4*c - 5*c - c) + 0*c - 2*c + 4*c)*(2741 - 2702 - 3557) to the form g*c + y and give g.\nAnswer: 7036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 9 + 12 - 137*l + 11 - 30. What is the hundreds digit of h(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52*20\/16*(-8)\/(-40)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*u**2 - 60*u**2 + 334*u**2 - 62*u**2 - 59*u**2 - 61*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 933, 3209, 6829, 11799, 18125, 25813, 34869, 45299?\nAnswer: 57109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -5) + (1 - -5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f. Let r(i) = 71*i + 24. Let n(c) = -40*c - 13. Let o(u) = -11*n(u) - 6*r(u). Determine o(g(q)).\nAnswer: 140*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 790, 1, 0, -3, 11 in descending order.\nAnswer: 790, 11, 1, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 1)*-2 + 2. What is the remainder when ((-6)\/(-7))\/(p\/(-7)) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4910655 millilitres in litres?\nAnswer: 0.0004910655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)\/(i\/(i\/(i\/i**(-5)))))**(-50) assuming i is positive.\nAnswer: i**(2600\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*w**2 - 1 + 85 - 25*w**2)*(4*w**2 + 0*w**2 - 3*w**2).\nAnswer: 2*w**4 + 84*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1115 + 3?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from rdjdlr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -252789\/110 or -2298?\nAnswer: -2298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2980*96.93\nAnswer: -288851.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189804 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -r - 2*z, -51*z + 1599 = -2*r - 54*z + 1520 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 0*l + 1\/12*l**4 + 63*l**2 + 0*l**6 - 1\/60*l**5 + 0 - 11\/70*l**7 + 0*l**3. What is the second derivative of i(z) wrt z?\nAnswer: -396*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + d + 2. Let c = -19 + 54. Let r = -37 + c. What is v(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**2 + 3*d + 3. Let g(l) = -l**2 + 1. Let w(u) = -2*g(u) + n(u). Let z be w(6). Let h = 17 + z. Solve 5*s - 3*k - 18 = h, -3*s + 4 = k - 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 - 42. Let c = a + -18. What is the units digit of 2\/(-9) + 94\/c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9164157 divided by 5.\nAnswer: 9164157\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((x**(2\/25)\/x)\/x*x)\/x)\/(x*x**(1\/3)*x*x))\/(x**(3\/8))**(-2\/85))**0)**(-26\/9) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1825\/367812 - 2\/601. Let z be (-1492)\/(-45)*(-15)\/51. Let l = z + a. What is the common denominator of 23\/17 and l?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*w = -19 - 137 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 353 - 553. What is c rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53775 and 239.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + 6*-1*sqrt(1216) - (5 + (sqrt(76) + sqrt(76) + 1*sqrt(76)*5)\/sqrt(4))*-6.\nAnswer: -6*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4081069581.\nAnswer: 3, 1360356527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 117 and -13.05391?\nAnswer: 130.05391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 23 = -2*o, 20*x - 4*o + 17 = 23*x. Let w be (-8 - 41)\/x + 6. Sort -7, w, 13 in ascending order.\nAnswer: -7, w, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1576692837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-12)\/(-6) + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 16*o + 60. Calculate w(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 2, l: 1, u: 3}. What is prob of sequence ff?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -2\/3, 21, 0.4?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/80)\/(-10 - (-913)\/88)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 1)\/((-1872)\/188 - -10). Which is greater: x or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -971 - -988. Solve l*c - 18*c = 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3030 and 3737.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83486545 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (635 - 1025 - 350 - 1060)*(-3 + 3*c + 3).\nAnswer: -5400*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2808*i**3 + 3 - 195*i + 78*i + 115*i wrt i?\nAnswer: -16848*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a + 36*a**4 + a**3 + 5*a**3 - 6*a**3 wrt a.\nAnswer: 432*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/16, 3\/7, -15, 2?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 3.1. Let l = 387 + -4645\/12. Which is the closest to -12? (a) -3 (b) x (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.7 + -1.3. Let y = -1962 + 1961. Let w = -20 - -18. Which is the closest to w? (a) z (b) -1\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 2*q + 5, -2*q = b - 128. Suppose z - 1 + 4 = 0, 3*m - 3*z = 0. Let i be m\/6 + (-58)\/(-4). What is the greatest common divisor of b and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 134. Let w be g(20). Calculate the highest common factor of 152 and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1676 - 1676 + 7*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 14. Let d be m(-5). Let a be 162 + (1\/(-1))\/((-9)\/d). What is the highest common divisor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 0. Let p = 156\/49 - 263\/98. What is the closest to 1 in p, k, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9616355 milligrams in kilograms?\nAnswer: 0.0000009616355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-437*(-31)\/(-9424))\/((-5)\/80).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 + 1 + -6 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 7:17 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*l + 136 - 616. What is the remainder when 53 is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3074 - -967. What is the highest common divisor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*p + 12 = 79*p. What is the tens digit of (0 - 545\/(-15))\/(p\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20243260 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1156.999137 - -1157. What is h rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604194.\nAnswer: 2, 3, 100699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.04 (c) -18 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/234 and -139\/180.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -224\/3 (c) 8\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**4 - 23*w**3 + 6*w**3 + 15*w**3 - 2*w**4 - 3 to the form h + b*w**2 + v*w**4 + z*w**3 + n*w and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + n**2 - 2*n**2)*(-3*n + 4*n + n + (-2492 + 1282 + 1040)*(5 - 1 - 2)*(2*n - 5*n + 0*n)).\nAnswer: -1022*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**(1\/3)*m)))\/(m\/(m*(m*m**(-1\/24))\/m*m))*m**(-15)*m*(m*m**11)\/m)**(2\/55) assuming m is positive.\nAnswer: m**(-17\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-8) - 1) + (-920514)\/75144.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/4 and 13\/6558?\nAnswer: 13116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, k: 2, p: 4, l: 1}. Give prob of picking 1 l and 3 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from wwswwwwws.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + (0 - -6))*-2. Is c\/(-2)*(-892)\/(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -2 - (18 + -30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*n**2 + 11*n**4 + n**4 + 104*n**3 - 10*n**4 + 18*n**2 + 2*n to x + s*n**4 + w*n + c*n**3 + i*n**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1469750566?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 8. Let g be d(-11). Let v be (-2*39)\/(-2) + -3. Suppose -4*u + v = 12. Which is smaller: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/352 + 23\/(-506)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 + 96. Suppose 5*z - 89 = -2*b + r, 5*z - 123 = -4*b. Solve -3*q + 2*q = 5*v + 29, -3*v - z = 2*q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2498, 4948, 7368, 9758, 12118?\n\"Answer: -15*r**2 + 2495*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**7\/120 - t**6\/40 - t**5\/80 + t**4\/48 + 15*t**2. Suppose m(o) = 0. Calculate o.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-72)\/(-12)*(2 - 3\/2). Let n = 1.5 + -2. Let g = 0.4 + n. Is w > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78495.\nAnswer: 3, 5, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6750384690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 0 + 4 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 3*x**3 - x**2 - 3*x + 2*x)*(1 - 1 + x**2).\nAnswer: -3*x**5 - x**4 - 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -2603369 and -2603366 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.37 + -0.37. Let s = g - 23. Which is the closest to -1\/2? (a) -0.3 (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 4, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*m - 4*a + 10, -2*m = -2*a - 2. Let u = 4 - m. List the prime factors of (3 - 2)*(7 - u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -0.692592?\nAnswer: -1.692592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -320, 15, 5, 8485 in decreasing order.\nAnswer: 8485, 15, 5, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r + 5*c, -8*r + 4*r = -5*c + 37. Let p = -13 - r. Suppose p*k = 2*k - 18. Solve b - k = -3*q, 0 = -b + 5*b + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8174\/5 + -1623. Let a = c + -61\/5. Let x = 0 + 0.2. What is the smallest value in x, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3198193 by 10.\nAnswer: 3198193\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 784805893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + s. What is the units digit of 55 - s*(-5)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 5*g + 49, 0 = 2*w - 8*g + 14*g + 18 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 9 - 90*v + 23*v - 8.\nAnswer: -67*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195 and 715?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*((sqrt(208) - (1 + sqrt(208) - sqrt(208))*3)**2 + 5 + (-2 + (sqrt(208) + -1)**2 - (sqrt(208) + sqrt(208)*2*-1))).\nAnswer: -3432 + 224*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t + 3 = 0. Suppose -3*v = -4*x - 0*x - 21, 0 = -v - t*x - 6. Let h(r) = 5*r**2 + 9*r - 5. What is the units digit of h(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-30))\/(((-9)\/5)\/(114\/(-76)))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48437749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 1)*5.\nAnswer: 5 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from toofoccvffttq. What is prob of sequence ff?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -3. Suppose -2*f = -2*d - 30, -24 = 2*f - 3*f + i*d. Calculate the lowest common multiple of 4 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 7*s**5\/60 - 5*s**4\/24 - 13*s**3\/3 + 9*s**2 - 1. Let o be (-6)\/33 + 97\/(-11). Is g(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from aaaqaaaaaqaaaq.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8)*m\/(m**(-1\/5)*m))\/(m**5*m*m*m\/(m**(1\/11)*m)*m) assuming m is positive.\nAnswer: m**(-864\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 + -1334040?\nAnswer: -1333442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1029*o**3 + 2*o**2 + 1697*o + 650292?\nAnswer: 3087*o**2 + 4*o + 1697","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-4 + 1)) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.57158692 to four dps.\nAnswer: -8.5716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 239*r**2 + 254*r**2 + 2.\nAnswer: 493*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i**2 + 4*i**2 + 2904*i + 10 - 2925*i to the form l*i + b*i**2 + g and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/(15\/(-6)). Let o = 813.4 + -808.4. Which is the second biggest value? (a) m (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.7696867507 take away 0.9?\nAnswer: -17.6696867507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/1852 and -14\/636625.\nAnswer: 2546500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41481 is divided by 20735.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14968*l**4 - 329*l**2 + 19*l?\nAnswer: 359232*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*-9*3\/(-45).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2)\/(w**(2\/15)\/w)*w\/(w*w**2\/w)*w*w**11*w assuming w is positive.\nAnswer: w**(163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*72\/81*(-111)\/(-2). Calculate the smallest common multiple of -2*(-6)\/(-4)*-1 and 74\/m + (-4)\/(8\/(-39)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 282593*b**3 - 14*b**2 + 9406 wrt b?\nAnswer: 1695558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/4*14\/105. Suppose 6*i + 3*w - 4 = 5*i, 0 = -2*w + 4. Which is the nearest to -2? (a) i (b) 0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4006*b + 3. Let n(v) = -877302*v + 658. Give -658*f(i) + 3*n(i).\nAnswer: 4042*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 1267.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25577 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-4)\/(5 + (-121)\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 14 = -2*t, 4*t + 4*h + 7 = 3*h. Let y(w) = -w**3 + w**2 + 2*w + 5. Let i be y(0). Sort i, 17, t, 1 in increasing order.\nAnswer: t, 1, i, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*r + 58 = 7*g, 3*r = 5*g - 79. Suppose -g + 54 = h. Suppose -h = -2*i - 7. Calculate the remainder when 59 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.06 - 0.06. Suppose -4*v - 6 = 2. Put 2, j, v in increasing order.\nAnswer: v, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 29 + 363\/(-12) - 10\/(-6). Let t(h) be the second derivative of 15\/2*h**2 - 13*h - q*h**4 + 0 - 5\/3*h**3. Find x, given that t(x) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(1*2\/(-4)). Suppose 2*y = 7*y - 35. Let o = y - i. What is the smallest value in -2\/3, o, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 49 - 71. Solve 13*t - 4 = c*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31834 (base 16) to base 2\nAnswer: -110001100000110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3039301 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9 = -0. Find the second derivative of 0*j - j + w*j + 3*j - 5*j**5 wrt j.\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 360 by 5.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395 - 195 - 192 - 27*v.\nAnswer: -27*v + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**4 - 11*p**4 - 11*p**4 + 4*p**4 - 2*p**4 - 3*p**4 + 4*p - 4*p + p**4 + (3*p - 2*p + p)*(-3*p**2 + 4*p**3 + 3*p**2) + 2*p**4 - 3*p**2 + 3*p**2.\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/2 - -18) + 12\/6. Let u = 24 - z. Suppose 2*s = 2*c + 644, 2*c - u = -2*c. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4017 divide 13823393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38912 and 406562.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1985\/395 + -5)*-1. Let k = 164\/237 + c. Suppose -1\/3 - k*g - 1\/3*g**2 = 0. What is g?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 2:59 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -13, -0.4, 0.2 in increasing order.\nAnswer: -13, -0.4, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1155 and 769560?\nAnswer: 5386920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 191*o**7\/7 + 454*o**3\/3 + 3*o - 34. Find the second derivative of h(z) wrt z.\nAnswer: 22920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40441110 - -1?\nAnswer: -40441104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4277 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-34)\/18)\/(38\/456) and -70\/93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3*f - 456, -3*b - 210 - 56 = 2*f. Let d be 39\/b + 2\/6. Is 0 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 57*f**2 - 122*f**2 + 63*f**2. Let u(n) = 30*n. Give t(u(d)).\nAnswer: -1800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70258 (base 13) to base 11.\nAnswer: -127576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -20*l**2 + 2*l - 61. Let x(h) = -11*h**2 + h - 31. Determine -6*r(m) + 11*x(m).\nAnswer: -m**2 - m + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -7176937 >= -7176937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 1)*(-2*s**3 + 3*s**3 + 3*s**3) + 15*s**3 + 83*s**3 - 8*s**3 + s**3 - 2*s**3 + 3*s**3.\nAnswer: 112*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - 17.4. Let a = -16.4 - i. Let x = -1 + a. Put 2\/7, -1\/4, x in decreasing order.\nAnswer: 2\/7, -1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -13, -17, -23, -31, -41?\n\"Answer: -o**2 + o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z + 204 - 204.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -16 - 4. Suppose -2*n - g*c = -6454, c - 3239 = -n + 2*c. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 - 604\/11. Which is bigger: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/1676855 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/((-3)\/((-27)\/(-6)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57 + 14921\/258)\/((-25)\/40)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42, 263, 858, 2013, 3914, 6747, 10698, 15953?\n\"Answer: 31*g**3 + g**2 + g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 166*n**4 + 117*n**3 - 12*n**2 - 660674*n?\nAnswer: 1992*n**2 + 702*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 43, 46, 5, -5, 278.\nAnswer: -5, 1, 5, 43, 46, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 13*d = 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w**2 - 582*w + 12221. What is o(39)?\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1734 - (-7 + 16)) + 3\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372*w + 608*w - 167*w + 293*w.\nAnswer: 1106*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2179824?\nAnswer: 2, 3, 45413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(72)\/sqrt(6)) + (sqrt(1900) + -2)**2 + (sqrt(57)\/sqrt(3))**2*1 + 1*(3 + sqrt(19)).\nAnswer: -38*sqrt(19) + 1926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -20, -6, 4, -3 in descending order.\nAnswer: 4, 0, -3, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 8*m - 1. Let s be y(8). Let i = 0 - s. Suppose v + a = -v - 2, 0 = v + 3*a + i. Put -4, v, 3, -2 in increasing order.\nAnswer: -4, -2, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129 + 132 - (-2 - -10 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 48\/(-26) - -1. Let x = 0.256 - -0.044. What is the smallest value in 0.4, l, x, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f - 1. Suppose 0 = -2*u + 7 - f. What is the lowest common multiple of (-2)\/(-4) - 13\/(-26) and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 6*j**2 + 3 + 28*j - 31*j - 2 - 2 + 3. Let r = 4 - -1. Calculate g(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -17*i**3 + 43*i - 43. What is the first derivative of a(g) wrt g?\nAnswer: -102*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**2\/2 + 5*o + 2. Let f be a(-5). Solve b - 1 = -f*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11\/95 - -719\/190. Let w = 12215 - 7752. Let y = -49044\/11 + w. Find the common denominator of y and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12155 to 3 dps.\nAnswer: -0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0722 - 5.2022. Let p = 0.13 + u. Let n = -0.644 + 0.244. Put p, 0.5, n in ascending order.\nAnswer: p, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 13) to base 2\nAnswer: 101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 10. Let z = 35 + -16. Let a be (z - 4)\/(k\/50)*1756. Round a to the nearest ten thousand.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 - 97 - 32*z**2 + 300 - 100.\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.201068186 rounded to 3 decimal places?\nAnswer: 0.201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + 50. Calculate the remainder when a is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + n - 3*n**2 + (-5 + 3 + 0)*(n**2 - n**2 - 2*n**2) + n**2 - 1 + 1 + (9*n - 6*n - 2*n)*(2 + 4*n - 2) + 8 + 2*n**2 - 8 as t*n + w*n**2 + x and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddtdtdddddtddd. What is prob of sequence tdt?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/55, 51\/4, 1, -0.2 in ascending order.\nAnswer: -0.2, -1\/55, 1, 51\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {h: 1, d: 11}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 0 + 8*v + 7\/60*v**4 - 2\/5*v**3 - 2\/5*v**2. Factor b(h).\nAnswer: (h - 2)*(7*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60375142.\nAnswer: 2, 30187571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/27 - (-61)\/9. Suppose 0 = -5*z - 2*y + 87, 2*z + 83 = t*z + 3*y. What is the smallest common multiple of z and -5*18\/(-15) - 2?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 14. Let u be n(7). Let j(b) = 4*b**2 + 13*b - 61. What is the tens digit of j(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-26))\/(-1))\/((-42)\/56)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 = 0, -3*t = -3*p + 2*p + 36. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1827555 (base 9) to base 3.\nAnswer: -1220221121212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1536 and 33016?\nAnswer: 6339072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8551629111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7931\/8 + 980. Let z = 406 + 1117. Let r = -13747\/9 + z. Calculate the common denominator of r and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.3 (b) 4 (c) -2.1 (d) 2 (e) 22\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -275210174525 plus 0.2?\nAnswer: -275210174524.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -210562 less than 347169662?\nAnswer: 347380224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 - 2*v + 2*v + 13 + 19*v**2 - 13 + (2*v**2 + 2*v**2 - 2*v**2)*(-5 + 3 + 4).\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 5\/2*s**2 + 2*s**3 - 30 + 3*s. Let i be o(-2). Calculate the greatest common divisor of 68 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 + 6*g**2 + 9*g**2 - 15*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/21)*v*v**(-11))**(-38) assuming v is positive.\nAnswer: v**(7904\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t - 31 + 4*t + 9*t**4 + 29 - 166*t**4 + 2*t**2 + t**3 - 3*t**2 to b*t**2 + o*t + x*t**3 + k*t**4 + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8)\/(p\/p**(-2\/3)))**(3\/23)\/((p*p**(-1\/3))\/((p*p*p\/p**4)\/p*p))**(-5\/8) assuming p is positive.\nAnswer: p**(-121\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**4\/20 - r**3 - 15*r**2\/2 + 16*r. Factor g(v).\nAnswer: -3*(v + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 - 802880*x**3 + 80581853936*x**2 - 966895537920*x + 2900599905312.\nAnswer: 2*(x - 200714)**2*(x - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 111 divided by -31\nAnswer: -111\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33873.899 - -33851. Let f = a + 23. Let j = -0.10100061 + f. Round j to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1296 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7549189 - -7549187.99999968. Let u = 1 + v. Round u to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/110 and 53\/33794.\nAnswer: 1858670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 11 + 1 = 0. Let q = b - 0. Let j = 2 + -7. Is j bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + a + 65. Let h(c) = c**3 - 5*c**2 - 6*c. Let m = -9 + 15. Let b be h(m). Is d(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*(-2 + 0 + sqrt(1331) + 0)**2*-3.\nAnswer: -48060 + 1584*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324197.\nAnswer: 19, 113, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50412 and 12775241?\nAnswer: 4201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12863, -12865, -12867, -12869, -12871, -12873?\nAnswer: -12875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*p**3 + 7*p**3 - 7*p**3)*(p + 0 + 0 + (-1 - 2 + 4)*(2*p - p + 0*p)) - p**4 - p**4 - 5*p**4.\nAnswer: 15*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -2*r + 8*r. Suppose t + 5*f = -t - r, 4*t + f = -6. Let p be (-2)\/t + 4 + -4. Which is the third smallest value? (a) p (b) 0 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2064 less than -2091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u*u**(-1\/2)\/u)\/u)\/u)\/u*(u**2\/u)\/u*(u*u**(1\/4))**(-22\/5))**(-41) assuming u is positive.\nAnswer: u**328","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.059*-93.1\nAnswer: -5.4929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + 1)**2 + -5.\nAnswer: 8*sqrt(13) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 2*m. Suppose 3*f + 4 = -2*g - 6, -g - 6 = 2*f. What is the smallest common multiple of 10 and w(g)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*n + 386 = 133*n + 133. Sort 9, 4, n, -1, 2 in increasing order.\nAnswer: n, -1, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1755 divided by -351\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22858.\nAnswer: 2, 11, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -808670 to the nearest ten thousand.\nAnswer: -810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 10:04 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -639 by 30851.\nAnswer: -639\/30851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 1\/8*z**4 + 0 + 1\/6*z**3 + 0*z + 2*z**2. Let d be (0 - -2)*(-6)\/4. Determine i(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -206 - -206.265. Round d to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g**2 - 377*g + 66. Give x(-54).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z + 33. Is v(-5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-487*s + 122505 - 122505)*(-2*s**2 + 0*s**2 + 3*s**2) + 12*s**3 - 8*s**3 + 16*s**3.\nAnswer: -467*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20409 + -20391. Calculate the remainder when 484 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -120*k**3 + 39*k**2 + 245264*k - 3.\nAnswer: -720*k + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -2\/15, 12784, 1\/762 in increasing order.\nAnswer: -2\/15, 1\/762, 3\/4, 12784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 737.94, 4, 0.5, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -228 + 223. Let j(s) = -150*s + 47. What is the units digit of j(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 336892*r + 14187027458.\nAnswer: 2*(r - 84223)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 21*f. Let i be g(-21). Determine y, given that 4\/3*y**3 - 2\/3*y + i*y**2 - 2\/3*y**5 + 0 + 0*y**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (1 + -2)) + (174 - 172)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/3 - 10\/15. Suppose -3*s + q*s = 20. Suppose -24 = -v + 2*m, -s*v - 2*m + 52 = m. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 11) to base 14\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36590853 to the power of 1\/2, to the nearest integer?\nAnswer: 6049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1920*x = 282642 - 96402 for x.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101287 + 101287 + 10*j**3.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5312 and 14726192?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010010110 (base 2) to base 4.\nAnswer: 302112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57250 is divided by 139.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 99, 1111, 2805, 5187, 8263, 12039, 16521, 21715?\n\"Answer: y**3 + 335*y**2 - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52.3 - 59. Let k = -3.721 - -0.021. Let j = k - a. What is the nearest to 0 in 0.02, 0.1, j?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 863, 2774, 6799, 13994, 25415, 42118, 65159?\nAnswer: 95594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, 2478 in increasing order.\nAnswer: -1, 7, 2478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeexxxssxxxxpxxxepx. What is prob of sequence spxs?\nAnswer: 11\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0666 minus 120?\nAnswer: -120.0666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uutw when four letters picked without replacement from wntnuunnnnwn.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -260, -0.4, 0.2, 12, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95433592*b**4 - 36231443*b**2?\nAnswer: -2290406208*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178109461?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.338478659 to 4 dps.\nAnswer: 2.3385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 12*u**2 + 50*u + 283. Does 207 divide x(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + p + 9 = 0, -4*p - 9 = -5*g + 38. Let d(r) = -r**2 + 34*r - 224. Let z be d(25). Let t = g - z. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 3*w - 7 = 0, 2*w - 11 = -2*h - w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1100 or 1096?\nAnswer: 1100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1465*m**2\/3 + 656255*m - 87360 = 0. What is m?\nAnswer: -1344, 39\/293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4080 by 1360.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 30*i**2 - 59*i + 117. Let l be p(28). Calculate the highest common divisor of l and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.593774 and -32086.\nAnswer: -32081.406226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2193 and 430?\nAnswer: 21930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 7 = 4*g + g, 0 = 2*w - g - 1. Solve 2*k - n = -2 + 13, -w*n - 1 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:03 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26, 45, 64, 83, 102, 121?\n\"Answer: 19*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u**3 - 159*u**2 + 20*u. Let j be h(-20). Solve 22*b - 19*b = j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(10\/(-6)) + 4403\/18130)*2\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1039305, -1039308, -1039313, -1039320, -1039329, -1039340?\n\"Answer: -l**2 - 1039304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 11. Let w = n - -9. Let q be (-4)\/(w*4\/20). What is the greatest common divisor of q and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 214239053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1014*x**4 - 2*x**3 - 328.\nAnswer: -4056*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 4. Suppose -i*x = -2*x - 16. Is (-376)\/(-20)*10\/x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - -0.5. Let w = t + 3. What is the closest to -0.1 in -0.3, w, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, k: 5, p: 5, d: 2}. Give prob of picking 2 j.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(513)*-2*-2)\/((sqrt(3267)*1)\/(-1*-2*sqrt(9) - sqrt(9))).\nAnswer: 24*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -729 - 3325. Is (r\/4)\/((2\/(-4))\/1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3236341827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3157.\nAnswer: 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*m - 333. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 2 + 0*h + 8*h - 4*h + 0*h**2. Calculate j(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 3)*(-4*b**2 - 5*b + 5*b)*(455754 - 455754 + 475*b) in the form x*b + c*b**3 + l*b**2 + a and give c.\nAnswer: -3800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1252*p**6 + 10*p**5 + 50*p**4 + 150*p**2 + 10*p. Let i(y) = -y**5 - 5*y**4 - y. Let c(a) = g(a) + 10*i(a). Find the third derivative of c(h) wrt h.\nAnswer: 150240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7766 (b) -1 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32185373 by -7.\nAnswer: -32185373\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*j**2 - 10*j**2 - 8*j**2 - 733445 - 4*j**2 - 3830*j - 15*j**2.\nAnswer: -5*(j + 383)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19791523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 441*p**5 - 1491*p**4 + 1311*p**3 - 117*p**2 - 132*p - 12 = 0.\nAnswer: -1\/7, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -11 + 27\/2*l**2 + 5*l. Does 23 divide n(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quuuquuuuu. What is prob of sequence qq?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1343*z + 129 = 1214*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1280 or -530?\nAnswer: -1280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340.69 plus -261?\nAnswer: 1079.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 111*d**2 + 19*d + 1538. Let j be u(111). Calculate the greatest common divisor of j and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 9 = -3. Let i = 0 - 0. Suppose i = -2*p + 4*p - 6. Solve -p = -f*t - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20465850 by 6.\nAnswer: -3410975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 9*w + 19. Calculate u(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 192471982 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-62)\/70 + (-6)\/(-21). Let l = -59.206 + 63.206. Let p be -4 - -3 - (-9)\/11. What is the closest to h in 5, l, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 - 3*t**3 + 4*t**3)*(5397 + t + 5530 - 11098).\nAnswer: -t**4 + 171*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5656, 20892, 36126, 51358, 66588, 81816?\nAnswer: 97042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + 10. Let j be (-2)\/(-2) - (-21 + -4). Suppose 3*g - j = 1. What is the remainder when p is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2620 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8c (base 14) to base 16\nAnswer: 7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4792866 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**14*c*c*c*c**(2\/3))\/(c*c\/((c\/(c*c**(-1\/7)*c)*c)\/c))**(-10) assuming c is positive.\nAnswer: c**(971\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3 + 2 - 2 + 18*r. Suppose 0 = -o - x, o + 9 - 15 = 5*x. What is the remainder when u(o) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -136 + 138. Let y(o) = 25 + 4*o - 17 - 9 + 2*o**j + o - o**2. What is y(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -25 (b) -0.06 (c) -2726 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k - 1. Suppose -5*f + 4*r + 7 = 0, -2*r + 1 - 7 = 0. Let v be q(f). Let d(x) = 2 - 6 + 0*x - x - 1. What is d(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 32 - 104. Let i = 95 + u. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -5, -2060*y = 3*d - 2064*y - 25 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 11:17 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2996696860 to the nearest integer?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95617 by 15.\nAnswer: -95617\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)\/(k*k**7))**34\/((k*k**(1\/2))**(1\/32)\/(k**(-2\/3)*k**(-1))) assuming k is positive.\nAnswer: k**(-91721\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4613377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 3, w: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q\/q**0))\/q)\/q)**(-3\/10)*(q\/q**(-1\/6))\/q**(-2))**(-20) assuming q is positive.\nAnswer: q**(-226\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (8 + -1) - (66 + -70)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -253, -994, -2231, -3970, -6217, -8978?\nAnswer: -12259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 336690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 817*i**2 + 2299*i**2 + 547*i**2.\nAnswer: 3663*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 3*x - 12. Let g be l(-3). Let r(s) = -s**2 - 5*s + 12. Determine r(g).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*f + 11 + 1 = 0, -4 = -5*m - 2*f. Suppose 0 = -2*y - 2*a + 220, -m*y + 2*a - 326 = -5*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c - 202 = -7*c - 98 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -58 - h + 2*h**2 + 0*h**3 - 7*h**3 + 58 as g + a*h**3 + m*h + k*h**2 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44942721808*s**3 - 89885443607*s**3 + 44942721801*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 204*(-70 - 63764\/(-912))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141757975637 - -2431?\nAnswer: 141757978068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from absggisni. Give prob of picking 1 b and 2 i.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*o + 44*o + 57629 = 0. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from {x: 4, q: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.011 (b) -13 (c) 0 (d) -1\/5 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, 228, 235, 242, 249?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1)*(-1*3)\/3)\/(35210\/5030).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -0.3, -0.209?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000068625771 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.3, -34, 17598?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-1)\/((-6)\/(-549)). Let g = -187 + w. Let r(o) = -o**2 - o - 4. Determine r(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 257032 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - -3 - -2)*(-45)\/(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 18144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 2305723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -168, -361, -642, -1017?\nAnswer: -1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**4 - 99*l**3 + 918*l**2 - 2280*l = 0.\nAnswer: 0, 4, 10, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10*(-54)\/(-36)*30*(-28)\/(-4368).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -198*-11\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 3, -71, -1, 2, 1.\nAnswer: -71, -1, 1, 2, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 12, j: 3, q: 3, o: 2}. Give prob of picking 1 j and 1 q.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -99*m**3 - 98*m**3 + 468 + 195*m**3 in the form j*m**2 + s*m**3 + u*m + v and give v.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 10:52 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + (sqrt(833) + (sqrt(833) + sqrt(833) + 1)*-4 - ((1*sqrt(833) + sqrt(833) - sqrt(833)) + 4))*-3 + 1 + -2 + -5)**2.\nAnswer: 6048*sqrt(17) + 480132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 50 = -8*x + 14, 4*x - 9*x = -2*x - 24 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 146 - 158 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 0 = 4*f + 3*p, -3*f - 2*p = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1401 (b) 1\/5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b - 4. Let g be v(-4). Suppose 62 = 5*y - 3*n, -3*n - g - 10 = -y. What is the lowest common multiple of 11 and y?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, s: 4, e: 7, x: 3, h: 2}. Give prob of sequence xxj.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21115 + -232439\/11. Which is smaller: a or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2 - 374646*q + 35089906329 = 0. Calculate q.\nAnswer: 187323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -2 (c) -9 (d) 9.942\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 792*r + 10*r**2 - 792*r - 16*r**2 + 7*r**2 - 5.\nAnswer: r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(2 + 0\/(-2)). Let n(m) = -264*m + 1. Let i be n(c). Suppose -i = -4*y - y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26602 + 0?\nAnswer: -26602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**4\/8 - o**3 + 2*o**2. Suppose 3*h - 5 = -17. Calculate m(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -23*y**2 + 833*y + 10012. What is j(-12)?\nAnswer: -3296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -y - 3, 3*y + 1 = -y - 5*c. Solve 2*g - 5 - y = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 6*c + 68. Let x be r(-15). Let z = 72 - x. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 38*v - 286. What is the remainder when w(15) is divided by -3 - -38 - (4 + -1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**7\/840 + y**6\/45 + y**5\/12 + y**4\/2 - 7*y**3\/6 + 8*y**2. Let a(t) be the first derivative of b(t). Does 22 divide a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02157118 rounded to 5 decimal places?\nAnswer: -0.02157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -179 + 191. Solve -3*d = l - 6, l = d + 2*d - y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.187267 kilometers in millimeters?\nAnswer: 9187267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000032327714 rounded to 7 dps?\nAnswer: 0.0000323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 96741855 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6883, -14748, -22611, -30472, -38331, -46188?\nAnswer: -54043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(136) + 2*((sqrt(136)*-2 - sqrt(136)) + sqrt(136)))*-2)\/(sqrt(96)\/(sqrt(768)*-2 - sqrt(768))).\nAnswer: -144*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7523891*i**2*l**2 - 32*i**2*l - i*l**3 - 7*i*l**2 - 278375*l wrt l.\nAnswer: 15047782*i**2 - 6*i*l - 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 13*u - 9. Let s(r) = 3*r - 2. Let b(o) = -4*q(o) + 18*s(o). Let x(g) = -g. Let n = -47 - -46. Let y be -2 - n - (1 - -3). What is y*x(t) - 2*b(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1\/2))**35*k**7*k**(-1))**(-49) assuming k is positive.\nAnswer: k**(-5733\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/5 (b) -0.1 (c) -12 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (30\/15)\/((-1)\/24368) - -2. Let x be 3 + -1 - 13\/((-91)\/d). Round x to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1343*h - 5 + 5 + 1945*h.\nAnswer: 3288*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wow when three letters picked without replacement from sobtwtswwswww?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13665?\nAnswer: 3, 5, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2)*(-l + 0*l + 4*l - l**2) + (-4*l - l - 2*l)*(-1 + 0 + 3)*(8*l + l + 3*l) in the form r*l + f*l**2 + n and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45665 is divided by 1826.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 377167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 12 - 3*w + w**3 + 4*w + 3*w**2. Let d be a(-4). Suppose d*l - 820 = -4*l. List the prime factors of l.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**5 - 19*n**5 + 6*n**5 + n**3 + (n - 4*n + n)*(112*n**3 - 112*n**3 - 39*n**4).\nAnswer: 60*n**5 + n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/39, -0.5, -8.9?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.6 - -8.3. Let k = j - 5. Let r = -1 - k. Sort -5, -1\/3, r in decreasing order.\nAnswer: r, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-12) + 1\/(-3). Solve 4*f + 3 = d + 14, -d + h = -f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 24*s - 3. Let m be n(3). Let v = 55844 + -55841. Calculate the highest common divisor of v and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -18.46555 to zero decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-55)\/110)\/(2\/(-8620)). Let d = f + -1526. List the prime factors of d.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 14632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3982\/55 - (5\/20 - 15\/(-100)). Calculate the greatest common factor of r and 810.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610210 is divided by 204?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + -2 + (-68)\/(-4). Let k be -2 - -3 - z\/(-6). Let s = 1 + k. Solve 2*x - 3*w + s = -0*w, -5*x = -3*w + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + p - 0*p - 11, -4*p = o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 82.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z = -26*z + 18. Suppose 2 = z*u - w, -5*w = 2*u + 2*u + 10. What is the nearest to 2 in u, -1.7, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 1629?\nAnswer: 17919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 3830*a**2 - 1 + 1904*a**2.\nAnswer: 5734*a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnpnnknnnkknknkkkp. Give prob of sequence npp.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13395 - -22225. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l = -26*l + 35. Solve -l*g - 4*k = 3, 6 = 3*g - g - 2*k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 2, 8\/3, 18, -5, -0.922?\nAnswer: -0.922","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 20*s - 10*s. Let a be (4 - 1)\/(450\/s). Is 1 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -124, -100, -72, -40, -4, 36, 80?\n\"Answer: 2*a**2 + 18*a - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101110110001010110111 + -101?\nAnswer: 1101110110001010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 9. Let p be x(6). Let k(f) = 9869*f - 69078. Let y be k(7). Solve -y = -l - p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 13*x + 888 = 12*x, x = 1. What are the prime factors of z?\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.8307 rounded to 1 dp?\nAnswer: -53.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-5))\/(-13*82\/5330).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -6658 (c) -1\/4 (d) -0.2 (e) 2.9 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q + 6. Let v(d) = 15*d - 13. Let j be (2\/3)\/(2\/39). Let b(a) = j*x(a) + 6*v(a). Let k(p) = 46*p**2 + 40*p**2 - 111*p**2. What is k(b(n))?\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 512 - 513. What is the nearest to -2\/3 in 0.1, v, -2, -26?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4*v - 3)*(11*v - 11*v + 6*v) - 2*v**2 + 3*v**2 - 2*v**2 + (2*v + 0*v - v)*(-4 + v + 4) + v**2 + 3*v**2 - 6*v**2.\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 429*v - 41. Let l be d(3). Suppose 0 = 3*c + 526 + 707. Let q = l + c. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7515152 to the nearest integer?\nAnswer: 2741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34\/10 + (-2)\/5. Suppose 2*a = -q*a + 70. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3 times 0.007?\nAnswer: -0.0231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 637 and 635349?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -191272 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/3)*n)**(-1\/2)\/(n**(-2))**(2\/33))**(-2\/39) assuming n is positive.\nAnswer: n**(14\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -90, -206, -368, -576, -830?\nAnswer: -1130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 10 = c + 2, -4*c + 15 = a. What is the derivative of -c - 4*l**2 + 0*l + l**2 + 0*l wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -5*m**4\/24 - 5*m**3\/3 - 3*m**2. Let f be q(-7). Solve j - 4*c + 5 = 0, 6*j + c = j - f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1403\/(-621)*6 + 4\/(-9)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14979809 divided by -19?\nAnswer: 788411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -436392 - -1?\nAnswer: -436391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 126 = 4*o, o - 4*o - 2*j = 112. Let t = o + 196. Calculate the greatest common factor of t and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6667, -26661, -59985, -106639, -166623?\n\"Answer: -6665*o**2 + o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216939620.\nAnswer: 2, 5, 10846981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10\/7, 4, -4, 40, 113, 4\/7?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n + 5. Let p(j) = -3*j + 2. Suppose 20 = -4*t, v + 11 = 5*t + 40. Let s(x) = v*z(x) - 10*p(x). Let i(y) = 3*y. Determine s(i(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2))\/((40\/(-5))\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 2*f + f + 7*f - 2*f**2 + 2. Let w be m(6). Suppose -w*c = -12 + 2. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10*((-2)\/5)\/1. Suppose w*h - 88 = 2*h + 4*m, h = 5*m + 56. Let s = 51 - h. Calculate the greatest common divisor of s and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17 + 0.03. Let l = 0.2 - h. Let o = 0.339987 - l. Round o to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**3 + 4*d**2 + 3*d - 1. Let j be g(-1). Let h = -13.03 - -13. Which is the closest to 1? (a) -2 (b) j (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316, -630, -920, -1174, -1380, -1526, -1600?\nAnswer: -1590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -11) + -5 + (-15 - -12).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.07 and 24485.\nAnswer: 24484.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1903*i**4 + 761025*i**2 - 761025*i**2)*(-1 - 2 + 4) to the form a*i**3 + f*i**2 + w*i**4 + j*i + d and give w.\nAnswer: 1903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6670857*x**3 - 3*x**2 - 4*x - 2350190 wrt x.\nAnswer: -40025142*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12.771 + -17\nAnswer: -29.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 171, 410, 759, 1224, 1811, 2526, 3375?\nAnswer: 4364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*d**3 - 23331*d**2 + 23331*d**2.\nAnswer: -62*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 73*n - 61*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 3*k + 11 = 3, -5*k = 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 5:52 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f + 7*f = -1108288. Suppose -2*r - 21846 = f. What is r rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -104 - -103. Let z(x) = -x**4 + x**2. Let d(u) = 24*u**5 + 8*u**4 - 8*u**2 + 76*u. Let y(f) = s*d(f) - 8*z(f). Find the second derivative of y(r) wrt r.\nAnswer: -480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -c - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - c4?\nAnswer: -c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -33. Suppose -2*w + 34 = -4*l + i*l, -5*w + 3*l = -23. Let k be w\/(-4)*-1 - 1. Which is the closest to -0.04? (a) 2\/17 (b) k (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17, 23, 29, 35?\n\"Answer: 6*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2 = -i + 21, -4*i = 2*r - 6. Suppose y + 0*y = -r*z + 19, 11 = 4*z + 5*y. Let x = 0 - -2. Solve 0*s - z = x*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2))**50\/(a**(2\/5))**33*(a**(-1)*a**1)**8 assuming a is positive.\nAnswer: a**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 11 = o - 1, 0 = -3*o + 3*k + 24. Let z = -4 - -9. Solve -2*u + o = -z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t - c = 19, -6*t = 3*c - 33. Suppose -5*i = -i - 20. Solve 0 = t*y - 3*a - 4, -4*a = i*y + a - 20 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 263 + 79. Suppose -2*d + 2*w = -m - 96, 430 = 2*d - 4*w. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-66)\/24)\/(2\/(-8)). Let j(i) = -11*i - 2. Let h(m) = 5*m + 2. Suppose -48 = -0*o + 8*o. Let b(k) = o*j(k) - 13*h(k). Determine b(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49\/8 at most -38949\/124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(10\/8 + -1). Let s be l\/20 + 17\/5. What is the third derivative of -s*d**4 - 3*d**3 + 4*d**3 - d**3 - 3*d**2 wrt d?\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21 (b) 7 (c) -141 (d) 48\/131 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -32 - 12. Suppose -4*r + 3*r = 0. Suppose f + r - x = 0. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -44*j. Let u(w) = -9*w - 2. Let g(k) = -12*k - 3. Let x(b) = 2*g(b) - 3*u(b). Determine o(x(d)).\nAnswer: -132*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -87*q**3 - 2*q**2 + 2*q + 2. Let w(i) = -347*i**3 - 9*i**2 + 9*i + 9. What is -9*s(m) + 2*w(m)?\nAnswer: 89*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3642256967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20\/63 + -2\/21. Let p(k) be the third derivative of -k**2 - z*k**3 - 1\/180*k**6 + 0*k + 1\/45*k**5 + 1\/36*k**4 + 0. Factor p(v).\nAnswer: -2*(v - 2)*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4410117 and -0.035?\nAnswer: 4410116.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 95 + 29. Let s = c + -29. Solve -5 = o - s*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 6*l + 6. Let d be q(5). Suppose -4*g - d = -31. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 5*q**2 - 3*q**2)*(-5 + 2 + 2)*(-5*q + 0*q - 3*q).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 6:21 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 13 - (-4 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**2 + 2*t - 721 - 696 + 2176 - 2*t**4 - t**3 - 646 + 4*t**4 as m*t + o*t**4 + l*t**3 + c*t**2 + s and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3755*n**2 - 4951*n + 74187460.\nAnswer: 7510*n - 4951","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.3, 1\/58, 0.4?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1745*j + 78533. Calculate f(45).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 - 6*g**2 + 2*g + 18. Calculate the remainder when 150 is divided by j(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5709\/2 + -8563\/3. Factor -1\/2*h**3 - w*h**5 + 0 + 0*h - 1\/2*h**4 - 1\/6*h**2.\nAnswer: -h**2*(h + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125312*v - 4*h = -125316*v + 20, 5*v - 15 = 3*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -7 + -3 + 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*v + 73*v**5 + 5*v - 91*v**2 + 111*v**3 - 72*v**5 wrt v?\nAnswer: 60*v**2 + 666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433.268 minutes to microseconds.\nAnswer: 25996080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -25.06. What is the second smallest value in k, 1\/9, 1\/4, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -991*h - 60*h**2 + 991*h - 71*h**5 wrt h?\nAnswer: -4260*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 6:29 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*p - p. Let a(i) = i**2 - 6*i + 9. Let j be a(8). Suppose j = -5*h + p*h. Put h, 1, -5 in descending order.\nAnswer: h, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 - 66. Let x = z - 10. Let q = x + -29.00000108. What is q rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3))\/((-3)\/117). Let w(r) = -r - u - 16 + 23. Let n = 0 + 0. Give w(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2.846 (b) 0.1 (c) -0.1 (d) 2\/5 (e) -7 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1225175 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5226 + 2452 - 2244 - 2799*k**4 wrt k?\nAnswer: -11196*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5290 divided by 46?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*n = -37, 4*y + 2*n + 2*n - 36 = 0. Let q = 4 + y. Suppose -i - 8 = a, 3*a + 4*i + q + 17 = 0. Which is greater: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5\/4 (b) -1\/10 (c) -2 (d) -2\/11 (e) 2\/265 (f) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008884 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*d + 34, d + i + 6 = -0*d. Let u = 6 - d. Let f(n) = n**2 - 16*n + 5. Let b be f(u). Sort -1\/4, b, -4 in increasing order.\nAnswer: -4, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07 + 5.93. Let k = v + -3. What is the third smallest value in k, -1\/3, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142042003 (base 5) in base 9?\nAnswer: 5050300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.279051l to millilitres.\nAnswer: 1279.051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.3068 + -13.73017. What is x rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + 25*x - 33. Let v(s) = s**2 - 13*s + 16. Let a(w) = -2*i(w) - 5*v(w). Let q be a(14). Solve 4 + 0 = h - 4*y, -5*h + 2*y - 16 = q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 414\/90 - 2\/(-5). Suppose 128 = 4*j + 5*b - 3*b, 5*j - 130 = 5*b. Suppose -6 - 4 = p - 3*a, 2*p + 4*a - j = 0. Solve 5 = d, v*i + 0*d + 15 = p*d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129 + -124. Let o(n) = -24721*n**3 + 4*n**2 + 9*n - 20. Let l be o(d). Round l to the nearest one hundred thousand.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 115, 1, -20, 64 in ascending order.\nAnswer: -20, -4, 1, 64, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 k, and 1 b when four letters picked without replacement from {k: 5, r: 2, b: 3, d: 3}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*n - 5*y, 2*y = -1 + 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 501 by 6.\nAnswer: 167\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1919, 2141, 2363, 2585, 2807?\nAnswer: 3029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 910, 1581, 1984, 2125, 2010, 1645, 1036, 189?\n\"Answer: p**3 - 140*p**2 + 1084*p - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*2*(-9)\/(-6). Suppose -a*z + 174 = n + 2*n, 3*z + 2*n - 169 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 334\/11 - (-5300)\/(-14575)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.949 times -1\nAnswer: 1.949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 15*o - 180 = 0. Let f be (o\/54)\/(-5) - 53\/(-6). What is the greatest common divisor of 45 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.16 (b) -3\/5 (c) 191 (d) -5 (e) 65\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 16*z + 14. Let j be c(16). Calculate the common denominator of -11\/18 and 4\/j - 7\/((-1470)\/4175).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**15)**5 assuming h is positive.\nAnswer: h**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + (40 - 45).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51669897\/1328 + -38908. What is the common denominator of k and 151\/12?\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 428 = -20*b + 24*b, 3*a = -2*b + 682. What is the highest common factor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -36, -74, -146, -264, -440?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 34 = 3*p + 2*d, 3*d = -3*p + 90. Suppose w - 2*w + 65 = 4*y, -3*w + 228 = y. What is the remainder when w is divided by p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + 0 + 2 + 0*y**3 + 3*y**2 + (1 - 15 + 3)*(-6*y**2 - 4*y**3 + 6*y**2).\nAnswer: 43*y**3 + 3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 396325 and 52705.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a547 (base 14) to base 2.\nAnswer: -10000010101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/(k*k**(8\/3))))**28*k**10*k**(9\/4)\/k*k assuming k is positive.\nAnswer: k**(1043\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 - 67. Suppose 49 + z = 3*j. Calculate the highest common divisor of 297 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-60)\/16)\/((-1)\/4). Let r be u\/(-10)*2\/(-3). What is the units digit of r\/(1\/(1 + 8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (12 - 16) + (-3 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*a + 44*a + 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1265733, 2531459, 3797181, 5062899, 6328613, 7594323, 8860029?\nAnswer: 10125731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 15. Solve 4*x + 3*r = -1 + 12, -2*x - q*r + 8 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (-358 + -2 + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -267.3167 (b) -5 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/156 and -133\/21942.\nAnswer: 570492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2. Let k(u) = 13*u**2 + 4735*u. Give k(z(s)).\nAnswer: 13*s**4 - 4735*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 5 - 5)*(5*j**2 + 2*j**2 + 5*j**2) - j + j - j**3.\nAnswer: -61*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 173247 and 1462?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 + 51*f + 39. Determine s(26).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q - 3. Let x be (1 - -3)*(-6)\/8. Let y be w(x). Let t(c) = 0*c**3 + 1 - 2*c**y + 2*c - c**3. Determine t(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -21*z**2 + 113*z - 417. Calculate g(9).\nAnswer: -1101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8813, -8789, -8747, -8687, -8609, -8513, -8399?\n\"Answer: 9*w**2 - 3*w - 8819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -718805.5 rounded to the nearest one thousand?\nAnswer: -719000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -2 - (-12)\/2. Let c = f - -2. What is the remainder when c is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16e9 (base 15) in base 14?\nAnswer: -1b32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2. Let l be -5 - ((-2416)\/28 + (-6)\/(-21)). Let k(z) = -4*z**2 - l*z + 76*z + 2*z**2 - 6*z**2. Give k(v(r)).\nAnswer: -8*r**4 + 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.123 + 1.807. Let n = 0.13 - 0.06. Let l = n + h. What is the second smallest value in -0.2, l, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -386 + 385. What is the closest to 1\/5 in 4, x, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlcnllncecl. Give prob of sequence le.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2469257845 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 16. Let j(c) = -c - 6. Let v be j(4). Is n(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 206\/7 + 2*36\/(-168). Suppose 0 = -c + 2, -2*c = k + h - 49. Solve -49*i = -45*i + k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68351 + -124969. Let v = 26918 + o. Round v to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4325974973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 553.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*k + 8, -2*g + 2*k = -3*k - 12. Let b = g - -8. Suppose b*d = 5 + 11. Solve q + d*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i + 341*i - 300*i - 2.\nAnswer: 24*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1 = -x, -7 = -3*x - 1. Let t(c) = 34*c**2 - 1. Calculate the lowest common multiple of 33 and t(m).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 17*n**2 + 2*n - 32. Let q = 12 + 5. Let r be m(q). Solve g - l = -r*l, 2*g - 4*l = 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -563 - 235431?\nAnswer: -236324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2456*q**3 + 973*q**2 + 21083782 with respect to q.\nAnswer: 7368*q**2 + 1946*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/42*(12 + 2268\/(-48) + (10 - 7)).\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 7. Let h be (-1 - -3 - d) + 0. Solve 0 = -h*k - 0*k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.169 times -0.05?\nAnswer: 0.00845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -44*s**3 - 14*s**2 - 9*s - 67. Is k(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejeddddjjjdjddj. Give prob of picking 1 e and 1 j.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37375974 is divided by 1653.\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35183*o**4*x + 12*o - 7*x + 19803 wrt o?\nAnswer: -140732*o**3*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 7 - 2 = 0. Let i(h) = -h**2 + 20*h - 17. Calculate the remainder when i(u) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/2 of a decade?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 9) in base 2?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 206792458?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(1\/4)*i)\/i)\/i*i)\/(i**(1\/3)\/i*i))**27\/((i\/((i\/(i\/(i*i**(-1\/5))))\/i))\/(i*i*i**(-2\/7)))**(-18) assuming i is positive.\nAnswer: i**(-1611\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1881913?\nAnswer: -4\/1881913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2765*b*o*r + 2589*b*r - 1081*o - 68511*r + 1 wrt b?\nAnswer: -2765*o*r + 2589*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25989*k - 9*x = -25991*k - 104, 5*k + 2*x - 34 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216063, 432131, 648201, 864273, 1080347, 1296423?\nAnswer: 1512501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 + 0.36. Let h = -12739 + 12738. Which is the fourth smallest value? (a) -12 (b) h (c) 1\/5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/8)*x)**(2\/5)*(x**(3\/8))**(12\/7) assuming x is positive.\nAnswer: x**(153\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 50\/(-15)*(-6)\/4. Calculate the highest common divisor of 35 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 10*w**2 - 12*w + 4. Let k be -2 - (-18)\/(-2)*1. What is the tens digit of x(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -156 smaller than -6487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 14, 10, 6.\nAnswer: 3, 6, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8195052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a + 3*a - 22. Let s(q) be the third derivative of 0*q**4 + 0 + a*q**2 + 0*q**3 + 0*q + 1\/60*q**5. Let t(z) = -z**2. Calculate t(s(o)).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*w = -124*w - q - 8296, 4*w - 5*q = 33184. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -18653.\nAnswer: 4\/18653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 5*r - 5 = 2*n, 0 = -n + 4*r - 14. Let o be 150\/189 + n\/(-27). Let z = -4.2 - -3.8. Which is the third biggest value? (a) 0.5 (b) o (c) 3 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180228360.\nAnswer: 2, 3, 5, 13, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 13678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 388022 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17384847383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-136)*(216\/450)\/((-6)\/(-10))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1037 + -19699\/19. What is the common denominator of f and 75\/8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaqaaq. What is prob of sequence qqaa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 11*i - 7. Let b be m(8). Let w be b\/3 - (-38)\/(-57). Solve 0 = -w*x + 24 - 4, 5*x - 10 = -2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644318925 to the power of 1\/3, to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1987788, 3975577, 5963376, 7951191, 9939028, 11926893, 13914792, 15902731?\n\"Answer: h**3 - h**2 + 1987785*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/340 and -43\/3131876?\nAnswer: 15659380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1908 divided by 6.\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 55*z**2 + 18096*z + 589. Determine r(-329).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -21.232 + 8.7014\nAnswer: -12.5306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, 7, -10, -49, -116?\n\"Answer: -a**3 - 2*a**2 + 12*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - 1\/(-4)*-4. Let m(w) be the first derivative of 0*w + 1 + 0*w**v - 1\/3*w**3. Let j(y) = -y. Determine m(j(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -256*p + 375 - 255 + 259*p + 578 - 29 in the form u*p + c and give c.\nAnswer: 669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1. Let a = -2 - -1. Let d = l + a. What is the second smallest value in d, 4, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2*-1)\/(-11 - -10). Suppose -2*y + 36 = c*y. Suppose n - y = -4. Solve -8 = 3*q - n*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-678)\/75 - (460 + -465)\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -38 + 89*t**2 - 12*t + 0*t - 86*t**2. Let p be i(-8). Calculate the greatest common divisor of 100 and p.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 9. Let y be v\/(-3)*(-9)\/(-42). What is the biggest value in 5, -1\/7, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 11 + 1 - 9 - 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -75, 4, -683 in ascending order.\nAnswer: -683, -75, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 + -0.3?\nAnswer: 162.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8561 and 0.21.\nAnswer: -0.389781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 372 and 27094?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92198 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(162) + (sqrt(22)*-4)\/sqrt(11).\nAnswer: 2 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 28.\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7 + 4 - f - f. Let s(v) = -2*v - 2. Give 4*h(i) - 5*s(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400 = -548*f + 3436 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 6080?\nAnswer: 42560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 9 = -5*o, 22 = 3*h - 8*h - 4*o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 108*b**3 - b**2 + 10*b + 9. Let t be m(-1). Let c = t - -117. Calculate the highest common factor of 133 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2)\/b*b)\/b)\/(b\/(b\/(b\/(((b**(-4)\/b)\/b)\/b))))*(b*b**(-1))**(-13\/3) assuming b is positive.\nAnswer: b**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -40*i - i**2 + 25*i + 17 + 2*i**2. Let h be y(14). Let c be (-2 - 4\/(-2))\/(-1). Solve c = h*q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2430166 tonnes to grams.\nAnswer: 243016.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/123 and 61\/123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 8. Suppose t*i - 2*u + 52 = -6*u, -u = -2*i - 26. Which is smaller: i or -12?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*i - 27. Suppose v - 3 = b + 20, -4*v - i*b + 92 = 0. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 73 and 7?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 6*i + 3*t = 5, -4*t = -16. Let m = i + -4. Let o be (-112)\/(-24) - (-1)\/m. Solve 2*g + 0*g = x - 2, 5*x + o*g = -20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.4. Let p be (2\/10)\/(12\/(-166)). Let y = -19\/6 - p. Is j less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5264 and 1.\nAnswer: -5263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**7\/147 + j**6\/35 + 3*j**5\/70 + j**4\/42 + 3*j - 2. Let q(w) be the first derivative of g(w). Factor q(k).\nAnswer: 2*k**2*(k + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**3\/3 - 3*z**2 + 26*z - 74. Let u(s) = -2*s - 2. Let i(f) = 4*u(f) + w(f). Determine i(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11*s. Let r(t) = -6 + 2*t**2 + 20 + 1606*t + 15 - 1606*t. What is r(b(n))?\nAnswer: 242*n**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + t**2 + t - 1. Let f(n) = -3*n**3 + 2*n**2 + 2*n - 5. Let g = 20 - 21. Let w(h) = g*f(h) + 4*c(h). Suppose 0 = -5*p - 3 - 2. Calculate w(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6127 by 80.\nAnswer: 6127\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1))**(-1\/3)*(u*u\/(u*u**(5\/3)*u*u))\/(u\/u**4))**15 assuming u is positive.\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0331 minus 1913221.6708?\nAnswer: -1913221.7039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, -0.3, -5, -0.1, -1165, 4, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 90668*w - 11. Give k(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 121*a**2\/4 - 2179391*a\/2 - 36023\/4 = 0 for a.\nAnswer: -1\/121, 36023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u - 2 + 2)*(-27*u**2 + 3 + 31*u**2 + 3).\nAnswer: 28*u**3 + 42*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*102\/(-5576))\/3.\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*m - 1676 = 193 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2564 = c - 5*c - 2682, -3*l = -7*c + 99 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + x + 0 - 3)*(-2 + 3 + 0)*(-2 + 6 - 3)*(-11 + 11 - 24).\nAnswer: -24*x - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/37 - 119\/74. Suppose 5*z - 4*z + 5 = 0. Sort r, 2\/7, z in decreasing order.\nAnswer: 2\/7, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26962*j**4 - 92*j**2 - 93*j**2 + 324*j**2 - 139*j**2 + (-4*j + 4*j + 2*j**2)*(3*j - 2*j**2 - 3*j) as x + y*j**3 + i*j + l*j**2 + h*j**4 and give h.\nAnswer: 26958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -179 - -738. Let f = -1436 + d. Let v = 1368 + f. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*u + 3*h + 36, 0 = -5*u + 3*h + 48. Suppose 2*z = 4, -3 = 2*i - 2*z - u. Let d be (i\/(-3))\/(2\/(-18)). Solve -3*f - 2*f = -d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from axaxqlvqqaaxallall.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 20*h - 13. Suppose -3*v + n - 6 = 18, 2*n + 24 = -2*v. Let f be g(v). Suppose f + 304 = 5*r. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17170 is divided by 4278.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 729280351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*(sqrt(105)\/(sqrt(33)\/sqrt(176) + sqrt(3)))\/(sqrt(378)\/(sqrt(18)\/sqrt(3))).\nAnswer: -8*sqrt(5)\/15 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 244, 487, 728, 967, 1204, 1439, 1672?\n\"Answer: -l**2 + 246*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from yjyyyyyyyyjyyjyyyj.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -767, -1509, -2251?\nAnswer: -2993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61099740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 506 by -10.\nAnswer: -253\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*4\/(-4))\/(2\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 plus 3489.5?\nAnswer: 3481.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 278\/3 - 86. Let f be -1 + 20\/12 - 0. Factor -f*x**2 - 50\/3 - u*x.\nAnswer: -2*(x + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*u + 8 = -3*p, 5*u + 4 = 3*p. Let y = p + -2. Let c = 4 + y. What is the third smallest value in 1, c, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l. Let j(t) = 35769*t**2 - t. What is j(y(b))?\nAnswer: 2897289*b**2 - 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**4 + 648*y**3 + 10236*y**2 + 55192*y + 97440 = 0. Calculate y.\nAnswer: -145, -7, -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11940 and 1466020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24618 or -24631?\nAnswer: -24618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -13*r**8\/48 - r**6\/120 - 79*r**5\/30 - r**2 - 17*r. Find the third derivative of m(x) wrt x.\nAnswer: -5460*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.656197 + 0.656. What is g rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from {s: 3, c: 2, n: 1, v: 3, i: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29143, 58204, 87265, 116326, 145387, 174448?\nAnswer: 203509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/459 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q - 3*q - 3*q + (2 + 2*q - 2)*(4 - 6 + 4) - 4 - 2*q + 4 + 9*q + 11*q - q + (0 + 0 - 2)*(0*q + q + 4*q) to the form k + u*q and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 1. Let j be r(-4). Suppose -j*b = 62 - 8. Let s = 68 + b. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhnhvipv. Give prob of sequence vphn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u - 3. Let m be x(2). Suppose 0*z = -m*z - 14. Let p be (z\/(-2) - 12001)*(-14350)\/(-123). What is p rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159459 is divided by 321?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*v**3\/3 + 439*v**2\/3 - 6524*v\/3 - 1900\/3.\nAnswer: -(v - 38)*(v - 25)*(7*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -10 + 30. Suppose 0 = -v + 21 + 3. Suppose j + 4*k = -v, -3*j + 2*j - 2*k - 14 = 0. Is x >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-9)*(-7677)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 = -b. Suppose 0 = h + 3*h - 8. Solve -4*v - 2*w + 12 = h*w, -3*v + b*w - 11 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -1. Suppose -3*k - i = -9. What is the second derivative of 2*n**2 - 5*n + 2*n**k + n wrt n?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -235*t + 9400. Let b be d(40). Let x = -7 - -9. Solve b = 7*h - x*h + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2*p + 4 - 3*p + 2*p + 2*p + (1 + 2 - 1)*(2 - 2 + p) + 3*p - 3*p + p + 2 + 31 - 37 - 22*p in the form o + z*p and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -185, -281, -377?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 114 = p + 4*m, -m + 264 = 2*p. Suppose 5*w - 124 = -p. Let x be 2*(-7)\/2 - -2. What is the nearest to w in x, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5428265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 61132.527 rounded to the nearest 100?\nAnswer: 61100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*v = 15, 6 = 2*h + 3*v - 8*v. Let b(a) = 2*a**2 + a + 3. Let f(u) = 2*u**2 - u + 1. Let n(q) = h*f(q) - b(q). Factor n(s).\nAnswer: 4*s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(2)*-1) + (sqrt(170)\/(sqrt(20)\/sqrt(2)))**2.\nAnswer: -sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 100 + 3?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = -5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -1. Let s = 9 - l. Let y = s + -8. Solve -y*t = 2*f - 7, -2*t + 3 = t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 8*r + 5. Let k(v) = -v**2 + 7*v - 4. Let b(t) = 7*k(t) + 6*y(t). Let n be b(0). Solve -2*s + n = 0, -3*h - 7 = -5*h + 3*s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -10*s + 19. Let j(r) = 5*r - 10. Suppose -4*v + 8 - 2 = 2*q, 5*v = -5*q + 15. Let u(f) = q*l(f) + 5*j(f). What is the derivative of u(m) wrt m?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -13 (c) 54 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 211530529?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/15*4\/(360\/(-25))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*i**2 - 16 - 20*i**2 + 2*i**3 - 13*i**2 - 13*i**2 + 64*i**2 in the form g*i**3 + c + q*i + f*i**2 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (0 - 3)\/((-15)\/80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 11*t**2 + 20*t - 21. Let d(g) = -23*g - 634. Let z be d(-27). Give b(z).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -647 or -648?\nAnswer: -647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 4, 887 in increasing order.\nAnswer: -2, 3, 4, 887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60245739?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 29. Which is the biggest value? (a) 17 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -10*m**2 + 11*m. Let x(l) = 10*l**2 - 12*l. Let f(i) = -3*q(i) - 2*x(i). Let g(t) = 3*t. Calculate g(f(j)).\nAnswer: 30*j**2 - 27*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -528*f**2. Let d(b) = -5*b + 6. What is d(a(p))?\nAnswer: 2640*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eueuuueeeeuueuuuuuee. What is prob of picking 3 e and 1 u?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -6, 6 in ascending order.\nAnswer: -40, -6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.00474 - 6.00474. What is the nearest to u in -5, 0.5, 1, -2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1043824*r**2 + 2087649*r**2 - 1043829*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (17 - 23) + -9.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m + 327. Let i be n(30). Suppose 0 = -3*c - i + 66. Solve 15 = 5*w + z, -2*w + c*z + 23 = -0*z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 18 = 16. What are the prime factors of -49 - -46 - (s + -366)?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.16106 rounded to one decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 98*x**2 + 191*x**2 + 237*x**2 + 5*x**2 - 2*x**2 + 2*x**2 + 5*x**2 + 0*x**2 - 4*x**2 + 1 - 1 - x**2 + (0*x**2 - 3*x**2 + x**2)*(1 + 0 - 3).\nAnswer: 535*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -20333210201 (base 4) in base 9?\nAnswer: -4382835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 86 - 91. Let y(w) be the second derivative of w - 1\/6*w**3 + 0*w**4 + 0 + 0*w**2 + 3\/20*w**j. Find the second derivative of y(m) wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 338 - 353. What is the third smallest value in 1\/2, -0.2, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 11) to base 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 252 or -22?\nAnswer: 252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1a7 (base 11) to base 7\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 111*i**2 + 728*i + 142. Calculate the remainder when 199 is divided by k(104).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.87 times -3?\nAnswer: 62.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**3\/3 - r**2 - 12*r + 50. Let p be q(5). Let k(y) = -y**2. Give k(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -241 + 237. Sort m, -2, -5, 2\/51 in descending order.\nAnswer: 2\/51, -2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 21. Let f be l(-19). Calculate the remainder when 2 is divided by ((-1)\/f)\/((-7)\/14).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 15*l - 12*l - 6, 4*j - 10 = -5*l. Solve -5*x + x = 4*k + 16, k + 4*x + 7 = j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4245 divided by -1?\nAnswer: 4245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*x = 4*x - 42, 70 = 5*h - x. Suppose h*a - 306 = -4*a. Which is smaller: a or 18?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -100*i + 11*i**2 + 8*i**2 - i**3 + 13*i**2 - 29*i**2 as o*i**3 + l*i + y + p*i**2 and give l.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 11*p + 7. Let t be f(-7). Let m = 92 - 97. Let l be 1*(-3 - m) + 3*4. Calculate the highest common divisor of l and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2553104453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 356980.9g in milligrams?\nAnswer: 356980900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53297600.\nAnswer: 2, 5, 33311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 4, 0.3, -0.33?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108\/145919 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59)\/((-885)\/5)*(8\/(-4))\/(2*1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 2:53 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 112 = -t - 3*t, 5*t = 4*s + 159. Let n = -45 - s. Solve -4*u - n = 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*b - 280*b**3 - 457*b.\nAnswer: -280*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 6*o - 1. Calculate s(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 151155406 + 22?\nAnswer: 151155431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 2*s + 10*c = 15*c - 70, 3*c + 9 = -3*s - 3 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57415417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 79*a - 161*a + 76*a - 90 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5631, 45456, 153611, 364260, 711567, 1229696, 1952811, 2915076?\n\"Answer: 5694*y**3 + y**2 - 36*y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q - 47. Let g be o(-8). Solve g*s + 41 - 14 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.45?\nAnswer: 1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - u + 5 = p, 5*p + 9 = 2*u. Let c be ((9 - 1) + p)\/1. Let h be c\/1 - (2 - 4). Calculate the greatest common factor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + ((sqrt(168)\/sqrt(6)*-6*6)**2 + -2)*6)*-5.\nAnswer: 2177200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 114787 divided by -114787?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 543, 3727, 12373, 29211, 56971, 98383?\nAnswer: 156177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302 + 1351 = -110*s - 1317 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -15 - -8 - (13 + 9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 66280*b**2 - 1061685*b + 995400.\nAnswer: 5*(b - 15)*(b - 1)*(b + 13272)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 23657049000 to the nearest 1000000.\nAnswer: 23657000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -42*o**2 + 4768*o + 4. Let d(g) = -15*g. Determine d(s(a)).\nAnswer: 630*a**2 - 71520*a - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 28)*1\/5. Solve 0*m + m = f*j - 7, 0 = 4*j + 5*m - 23 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*a + 132, 99 = 9*l - 5*l - a. Calculate the remainder when l is divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2 + 0 + 2 + 12*a - 11*a. Let r(y) = -2*y - 8. Let t(f) = -5*k(f) - 2*r(f). Give t(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 (base 11) in base 14?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1050928 is divided by 3936.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 60*t + 59*t - 120*t + 16 = 0, -2*t + 90 = t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1165529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 17 = -3*b, 0*b = -2*o - 4*b - 8. Let j(c) = -13*c - 2*c**o + 13*c. Let v(w) = 3*w. Give j(v(g)).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9260 is divided by 157?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 2*o**2 + 2*o**4)*(-985 + 212 - 454).\nAnswer: -2454*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8808899cm in kilometers?\nAnswer: 0.000008808899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w. Let s(m) = -551599*m**2. Give u(s(a)).\nAnswer: 551599*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/60 + (-2)\/(-5). Let x be 3 - (4 - 0\/(-3)). Let o = 1705 - 1700. Put 2, o, x, n in ascending order.\nAnswer: x, n, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 75*r + 542*r - 56*r to the form t + i*r and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 26. Suppose 0 = -10*j - 2*j. What is g(j)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkk when three letters picked without replacement from {w: 3, k: 2, c: 2, g: 8}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 186 = -0*h. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/48*(-9)\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1494 - 2987 + 1493 - 581*w**2.\nAnswer: -581*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68873333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - -90 - 25 - -6?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 2 + 1 + sqrt(405))**2 + -4)*3.\nAnswer: -54*sqrt(5) + 1206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from iukibuikuiik.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/5)\/k**(2\/27) assuming k is positive.\nAnswer: k**(-37\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18005808 and 9002904.\nAnswer: 18005808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 306*m + 1865. Calculate a(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4747283?\nAnswer: 19, 249857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 58 = 2*q + 5*b, 0 = b + 3. Let d = q - -30. Differentiate -7*m**2 + 9 - d*m + m + 6*m with respect to m.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (777 + -19)*3\/(-328) - -7. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**4\/6 + z**3\/6 - z**2. Suppose -2*l - 5 = 3. Does 10 divide i(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 450 = -3*n. Suppose 3*v - 8*v = -n. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-5) - (-5568)\/(-870).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -64, -188, -414, -772, -1292, -2004?\nAnswer: -2938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -276\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**2 + 11 + 13 - 14*k**3 - 22 to p + v*k + b*k**2 + i*k**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n**2. Let b(h) = -7*h - 1. Calculate s(b(j)).\nAnswer: 343*j**2 + 98*j + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -54519, -53001, -51483, -49965, -48447, -46929?\n\"Answer: 1518*o - 56037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -8*n. Suppose -3*j + 8*j - 335 = n. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075785446 to the power of 1\/2, to the nearest integer?\nAnswer: 32799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u**3 + 9*u**3 + 18*u**3.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x**2 - 4*x + 4. Let d(i) = -9*i**2 + 5*i - 5. Let m(k) = -4*d(k) - 5*w(k). Let g(r) = -2*r**2. Calculate m(g(b)).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3, 0.2, -4, 13\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**4 - 1 + 35*c**2 - 14*c**2 + 888*c - 267*c**3 + 2*c**4 - 21*c**2 wrt c.\nAnswer: -12*c**2 - 1602*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132534 divided by -74.\nAnswer: -1791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 232795?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18253 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7723504485338 minus 0.15?\nAnswer: 7723504485337.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.3? (a) 1579 (b) 0.3 (c) 5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 285, 312, 353, 414, 501, 620, 777, 978?\nAnswer: 1229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 706*c + 1391178 = 729*c. What is the ten thousands digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -12. Suppose -4*z - z + 25 = g. Let t(l) = 1. Let n(w) = -w - 6. Let p(k) = -n(k) - 4*t(k). Determine p(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 5:35 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012 + -21020100011220?\nAnswer: -21020100021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1012*m**3 + 281*m**3 + 248*m**3 + 240*m**3 + 240*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n**5\/5 + 20*n**4 + 392*n**3\/5 + 566*n**2\/5 + 321*n\/5 + 54\/5 = 0. What is n?\nAnswer: -9, -3, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366*s + 7360 = 406*s. What is the remainder when 3307 is divided by s?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/16100 and 17\/58700.\nAnswer: 9450700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(2\/4)*2. Suppose -o*v + 15 = -9*v. What are the prime factors of (3\/v + 2)*18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/11))**(2\/5)\/(m\/((m*m\/(m*m**(-32)*m)*m)\/m)*m\/(m*m\/(m**(-31)\/m))))**2 assuming m is positive.\nAnswer: m**(7056\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 14\/3)*42\/28\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from {z: 8, y: 2, q: 1, v: 5}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 5 = -19, 4*w = h + 22 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**4\/4 - o**3 - 3*o**2\/2 + 4*o. What is h in n(h) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*r**2 + 74*r**2 + 20*r**2 + 36*r**2.\nAnswer: 108*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2286.9 (b) -1\/31 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0.3, 5, 1254, 3, -1, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*s - s - 3*s)*(-2429 - 4793 + 0 - 16602 + 1658) to d*s + f and give d.\nAnswer: -44332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**5 + 0*w**5 - w**5 + (4*w**4 - 4*w**4 + w**4)*(2*w + w - 2*w))*(4 - 2 + 0).\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 754240 is divided by 458.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 4. Let p be k(-4). Suppose -3*n + y - 2 = p, 3*n - 6*n - y + 2 = 0. Solve -2*l + a = 12, 0 = -3*l - 5*a - 5 - n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2 = -2*j - 0, -8 = 4*j - 5*v. Let b be j\/(0\/(-1) - -1). Suppose -b*f = -f - 18. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from {g: 4, j: 2, s: 3, q: 2, m: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 6:38 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12\/17 + -109\/34. Let g be -3*(27\/18 - (-14)\/(-12)). Let d be (0 - 9) + (1 - 18) + 23. Sort -4, d, i, g in increasing order.\nAnswer: -4, d, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1 - q**2 + 0 + 2*q**2. Let y = -15 - -17. Suppose 5*t - 3*w + 19 = 0, -y*t + 2 - 3 = w. Calculate z(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -29255486.18537 and -0.2.\nAnswer: -29255486.38537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*o - q - 2, 4 = -2*o - 3*q. Let h = -14 + -1. Let x = h + 15. What is the closest to x in -3, 2\/9, o?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1863 - 8785 = 451*a + 2882 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + 88. Let s = g + -80. Calculate the highest common factor of 24 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88.6 + -89. Let o be (-5)\/(-6)*(-3)\/(-10). What is the smallest value in 2\/7, j, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1590, -4, 9, -3, 6, 4 in descending order.\nAnswer: 1590, 9, 6, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 12 = -0*o. Let u(f) = 3*f**3 - 6*f - 3. Let c(z) = -6*z**3 + 13*z + 7. Let v(h) = o*c(h) - 13*u(h). Find the first derivative of v(i) wrt i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10523.\nAnswer: 17, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 6) + -4 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23263 + 4537?\nAnswer: 30022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -26*r**3 + 2*r. Does 24 divide n(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 20. Solve 4*q - 3*q = -f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 156.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 158\/(-14 - (9 + -11)) and ((-74)\/10)\/(12\/5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**5\/25 - 4*j**4 - 728*j**3\/5 - 10816*j**2\/5 - 35152*j\/5 + 318. Factor g(c).\nAnswer: -(c + 2)*(c + 26)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12540)\/(-6897))\/(18\/44).\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 16*s = 163016, -3*x - 2*s = -17067 - 105167. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-15780)\/210 - 6\/9*(-1 - (-165)\/210)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-138)\/12)\/((-1)\/2). Is h greater than 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 193*a**5 + 10*a**4 - 4296*a**2 wrt a?\nAnswer: 11580*a**2 + 240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, s: 1, w: 1, q: 2, o: 1, b: 1}. What is prob of sequence sq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(720) + (sqrt(720)*-1 - sqrt(720))))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -48, -58, -82, -126, -196?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1160*x**3 - 3*x**2 + 11*x - 3. Let o(q) = -3482*q**3 + 8*q**2 - 29*q + 8. Determine -8*c(i) - 3*o(i).\nAnswer: 1166*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3143.1 + 47.1. Let n = 2917.3 + g. What is n rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 867.3 - 867. Let o(s) = s + 2. Let n be o(-1). Which is the second smallest value? (a) t (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 - 0. Round g to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/4 + 9\/(-18). Solve -10*p - h = -9*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*1*3 + sqrt(187) + -5*-1*sqrt(187))\/(((sqrt(1331) - (sqrt(1331) + (sqrt(1331) - -5*sqrt(1331)*-2) + sqrt(1331))) + sqrt(1331))*4).\nAnswer: sqrt(17)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2890567891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**2 + 185*t - 7. Give h(-37).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.8 and 17.\nAnswer: 132.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145722 is divided by 814.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen eighths of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 - (4 - 4 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 27*x**3 - 4229*x**2 - 894640*x - 890416. Let q(b) = 235*b**3 - 38060*b**2 - 8051760*b - 8013745. Let u(h) = 35*i(h) - 4*q(h). Solve u(v) = 0 for v.\nAnswer: -422, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 greater than 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/8 (b) 21.2 (c) 0.1 (d) 0 (e) 0.5 (f) -25.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6744466028.\nAnswer: 2, 53, 2137, 14887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9\/44 - 5\/11. Let r = -1556 - -10890\/7. Sort l, r, 5, -2 in descending order.\nAnswer: 5, l, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*l + 189*l - 65*l + 195*l + 334*l + 2.\nAnswer: 868*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15334 - 12?\nAnswer: 15322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7104)\/370*(-6)\/(-8)*(-39)\/(702\/80).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1906.\nAnswer: 3\/1906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 24, -8, 19 in descending order.\nAnswer: 24, 19, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g**2 - 26*g**2 + 10*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - -0.3056.\nAnswer: 22.3056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-3 - 3) + -8 + 4. Let y(v) = -v**2 + 6*v + 3. Let q be y(5). Suppose 5*g = 3*s + s + 161, -a*s - q = 0. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4445 + 7315. What is the highest common factor of 140 and f?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 12:22 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-89 + 1 - (-34 + 97 + -68)) + -13?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*g**2 - 73*g**2 + 109*g**2 in the form y + c*g**2 + z*g and give c.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 - 938 = 241*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.13 + -0.07. What is the third smallest value in o, 4, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19999.058 + -19940. Let w = 59 - r. Round w to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t**3 + 2*t - 6*t + 4*t.\nAnswer: -19*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t + 33. Let f be x(12). Let i(a) = -a**2 - 20*a - 6. List the prime factors of i(f).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(539) + 0 + -2)**2.\nAnswer: -28*sqrt(11) + 545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 24*j - 12 - 65*j in the form g*j + y and give g.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**3\/5 - 85932*g**2\/5 - 615273111*g\/5 + 1230889974\/5 = 0?\nAnswer: -14323, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15855878 is divided by 5285215.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 80415 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 9. Let b = o + -9. Sort -14, -0.3, b.\nAnswer: -14, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 5, j: 15}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131745244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017332168 to the power of 1\/2, to the nearest integer?\nAnswer: 31896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -0*j + 3*j. Let t = 14 + j. Let q(x) = x**2 - 8*x + 4. Let p be q(7). Is t at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -3, 2, 5573, 8 in descending order.\nAnswer: 5573, 8, 5, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 14 = 5*u + 2*f, -3*u - 2*f - 6 = 0. Which is greater: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 65 = x, 25 = -4*x - 3*f + 282. Suppose 0 = -n + 3*n - x. What is the remainder when 60 is divided by n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 416 + -420.29. Round b to 1 decimal place.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62699389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + y + 1. Let h be n(0). Let u be h\/(-5) + (5 - 4). Let l = 0 + 1. Is u not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2067 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 8:09 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/(-6))\/(6\/(-63)). Let w be (v\/(-42))\/((-1)\/(-3)). Factor 3\/5*p**3 + 0*p**w - 3\/5*p**4 + 0 + 0*p.\nAnswer: -3*p**3*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 462784911?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 1011 and 21256\/21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250377.\nAnswer: 3, 83459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 4 + sqrt(320) + 3 + sqrt(320) + -5 + sqrt(320) + -5)**2*-6.\nAnswer: -30774 + 1152*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 7, -2\/63?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -194 - -196. Find the second derivative of -h - 4*a**4 + 0*a - 22 + a wrt a.\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.43642 to one decimal place.\nAnswer: 13.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**2\/3 + 488*k\/3 + 74094 = 0.\nAnswer: -233, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33240011 (base 5) in base 2?\nAnswer: 1000110110011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073047 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 206 and 138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 4:02 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-4)*p*p\/p**(2\/47)*p*(p*p**(2\/53)\/p)\/(p*p*p\/(p**(-36)\/p)) assuming p is positive.\nAnswer: p**(-99652\/2491)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 20. Let c(d) = -3*d**2 + 65*d + 27. Let v be c(22). Sort -2, p, -22, v in ascending order.\nAnswer: -22, -2, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1356158, 1356155, 1356152?\nAnswer: 1356149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v - 14*v + 3*v)*(22*v**3 + 43*v**3 - 34*v**3) to x*v**3 + k + q*v**2 + o*v + c*v**4 and give c.\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 525.86 rounded to the nearest 10?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4694 times 243372\nAnswer: -114238.8168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s**2 + 5*s - 2. Let w(n) = -n**2 + n. Calculate 3*w(t) + x(t).\nAnswer: 2*t**2 + 8*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -187, -1, -6 in descending order.\nAnswer: -1, -6, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, j: 3, z: 1, c: 2, l: 1, u: 1}. Give prob of sequence zj.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 174 + 54 - 440.\nAnswer: w - 560","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -23) + 3 + 20 + 5 + -23?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 11*l**5\/60 + l**4\/24 - 2*l**2. What is the tens digit of w(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-2 - -6 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5 + 495890*t**4 - 3967032*t**3 + 9917512*t**2 - 7933984*t = 0 for t.\nAnswer: 0, 2, 4, 247937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 8 - -4) + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-10)*6\/(-9). Let q(p) = p**2 + 2*p - 5. Let v be q(-4). Let t(r) = -r**2. Let y(w) = -15*w**2 - 4*w**2 + 15*w**2 - 2. Give n*y(z) + v*t(z).\nAnswer: z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4072 - -405117.\nAnswer: 401045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169623 = -54*r + 166815 for r.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1245434 (base 9) to base 5.\nAnswer: 133223113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 904 = n, -4 = -4*n + 12. Let w be (-2)\/8 - y\/(-16). Let k = w - 8. Solve q + 16 = -k*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 9.9. Let q = 0.17 + -0.07. Which is the closest to h? (a) -2\/3 (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2\/90*(-5)\/4?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdhd when four letters picked without replacement from {h: 5, d: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/((g\/g**(12\/11))\/g)*g*g\/g**26 assuming g is positive.\nAnswer: g**(-230\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 27363637\nAnswer: -8\/27363637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -3*f - 3*a - 9, 4*a - 24 = -2*f. Let x(s) be the first derivative of -4*s + 6 + s**2 - 4*s**f + 7*s - 2. What is x(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.05 (b) -2 (c) 7\/4 (d) -0.1239 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 823 (b) 1 (c) 0.2 (d) -14 (e) -32.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226367594?\nAnswer: 2, 127, 409, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and 530985.\nAnswer: 9557730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 10*d - 20 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3963*p - 1625*p + 3852 - 3852 + 8751*p to d*p + j and give d.\nAnswer: 11089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5625)\/(-2375) + 2*-1. Let h(x) be the first derivative of -2\/19*x - 3 - 8\/19*x**3 + l*x**2. Solve h(w) = 0 for w.\nAnswer: 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -5, -7, -1, -77, 97 in descending order.\nAnswer: 97, 23, -1, -5, -7, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47\/48 - -1937\/2064. What is the common denominator of f and -2 - (66\/4 + -4)?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19951, 80131, 180537, 321169, 502027, 723111, 984421?\n\"Answer: 20113*f**2 - 159*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 174 - 119. Let h be 1*25*-1*1. Let b = q + h. Which is smaller: 29 or b?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + c - 18. Let a be i(0). Let y = a - -25. Calculate the remainder when 20 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.08, -5, 1\/4 in descending order.\nAnswer: 2.08, 1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 28*z**2 + 13*z + 39. Let d(f) = 13*f**2 + 6*f + 18. Let v(c) = 13*d(c) - 6*s(c). Let h(a) = -90*a. Calculate h(v(l)).\nAnswer: -90*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.99 + 0.01. Let h = 26\/11 - 464\/187. Let v = 361 - 362. Which is the nearest to v? (a) h (b) q (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**4\/4 + l**3 + 5*l**2 - 23*l + 122. Let y be s(4). Which is greater: 26\/25 or y?\nAnswer: 26\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 9*u - 14. Determine q(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and -0.08.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 12*v**2 + 7*v - 1. Let u be m(-3). Let a = u - 81. Suppose -f + 4*f = 4*k + 710, 435 = 2*f + a*k. What are the prime factors of f?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 2)*(-230*y + 331*y - 278*y) - 2*y + 3*y + 0*y + 2 + y - 2 + (-5*y + 4*y + 3*y)*(0 + 2 + 0) + y - 2 + 2)*(y**4 + 0*y**4 + y**4).\nAnswer: -340*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-6)*(204\/33)\/(12\/(-22))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -635, 0.5, -1\/3183?\nAnswer: -635","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2 = 3*q - 21, 42*q + a - 106 = 21*q + 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*h - 21059, 5*r - 50201 = 5*h + 55074. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 6*g - 6 = -4, 2*g + 2 = 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 3 + 0*y**3 + 9 + 7*y**2. Let i = -23 + 30. Let l be o(i). Solve l*n - 3*n = 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5 - 1 = 0. Let g(u) = u**2 + 5*u - 4. Let b be g(-6). Suppose -b = -p + 2. Sort -3\/7, p, l in ascending order.\nAnswer: l, -3\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 91 = -23*p. Suppose 0 = -4*u - 4*a + p*a + 24, 0 = -u + 3*a - 3. Suppose u*c - c = 41384. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18528 to 4 dps.\nAnswer: -0.1853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.513 + -0.487. Put 1\/10, b, 4 in descending order.\nAnswer: 4, 1\/10, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 3, -51, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -113 - 196. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -642892717\/430797 + -2\/143599. Let z = w - -1472. Let l = 36 + -85\/2. Find the common denominator of z and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 13*z - 5. Let i(c) = -c**2 - 14*c + 5. Let o be 2\/4 - (-9)\/2. Let m = 18053 + -18047. Let f(k) = m*h(k) + o*i(k). Give f(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10.6? (a) 0 (b) -2 (c) 0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -291 (c) -5.145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 - -63. Calculate the greatest common divisor of 24 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(0 - 2)*2. Let i(b) = -29*b - 4. Let f be i(q). What is f 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 ten millions digit of 32224903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 152103 divided by -3\nAnswer: -50701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3553531 + 2?\nAnswer: -3553526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g. Let b(v) = v**2 + 9*v + 36. Let z be b(-7). Let o(c) = -115*c + 69 - 27 - z - 20. What is o(t(k))?\nAnswer: -230*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 313 + -313. Suppose y = -2*x - 2*s + 8, 2*x + x = 3*s. Solve x + 6 = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 14. Suppose -3*l + 68 = 5*d, t*l + 48 = d + d. Suppose 6*v + 4 = d. Solve v = -p + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 968*z**6 + 34*z**4 - z**3 - 72711*z**2 wrt z?\nAnswer: 116160*z**3 + 816*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*4\/(-8) + (-4 - -17). Sort l, 2, 0.\nAnswer: 0, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) -1\/3 (c) 2 (d) -3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(396) - sqrt(396)*-2)\/sqrt(11))\/(sqrt(72)\/(sqrt(36)\/sqrt(6))).\nAnswer: 5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6333\/12 - 16\/(-64). Calculate the common denominator of 8\/47 and (c\/27)\/8*2.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11295\/4 (b) -4 (c) 2\/3 (d) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2 + 2*y - 1. Let c be k(1). Let w be 22\/11*(-2 - 12\/(-2)). Solve -c*j = -3*j + m - 9, j - 3*m - w = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168380 times -1824\nAnswer: 307125120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16466845.\nAnswer: 5, 733, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -9)*2\/5. Let q be d\/(-2 + 3) - -6801. Suppose -f + q = -i, f - 3*i - 6796 = i. Round f to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36573, 37287, 37993, 38685, 39357?\nAnswer: 40003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 3:07 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g - 15*g**3 - 6*g + 0*g + g**3 - g**3 to c*g**3 + p*g**2 + v + q*g and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 10871.\nAnswer: -2\/10871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2 - 50*q - 11. Determine p(-16).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17528798695013 and 0.01?\nAnswer: 17528798695013.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 - -8 - 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**2\/2 - 13*t + 48. Let y(v) = 2*v - 39. Let z(i) = -11*q(i) + 4*y(i). Give z(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -57*f**2\/2 - 33*f + 9. What are the prime factors of y(-12)?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15120031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-32)\/(-40))\/((-2)\/(-10)*-2). Let v(b) = -b**2 - 4*b - 4. Let p be v(-4). Sort q, p, 4.\nAnswer: p, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20\/13 + 126\/65. Let g = -12172 + 12167. Let q = 4 - 0. Which is the closest to q? (a) 0.3 (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**8\/10080 - w**7\/240 + 136*w**3\/3 + w**2 + 182. Let n(m) be the third derivative of f(m). Suppose n(x) = 0. Calculate x.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 1, r: 1, w: 1, o: 1, v: 2}. What is prob of picking 1 w and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53\/4 - -12. Let l(i) = i**2 + 10*i - 13. Let t be l(-11). Which is the nearest to h? (a) 1\/5 (b) 1\/6 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 644?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 6:11 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/33 and 1309\/(-210) + (4 - 0).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20729?\nAnswer: 19, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -72, -77, -82?\n\"Answer: -5*t - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p**3 - 13*p + 4. Let c(i) = -7*i**3 - i**2 - 14*i + 4. Let g be (-38)\/(-8) + (-1)\/4*-1. Let m(j) = g*c(j) - 6*t(j). Suppose m(d) = 0. Calculate d.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**4\/12 - r**3\/2 - 16*r. Determine v, given that o(v) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2008)\/(-6)*(154178\/3048 + 1\/(-3))?\nAnswer: 67, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (179*s + 110*s - 113*s)*(-s + 4*s - 4*s)*((5 - 3 - 4)*(s - 4*s + s) + (4*s - s - 4*s)*(-2 + 0 + 3) - 2*s + 2*s - s).\nAnswer: -352*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 7, -41, 0.\nAnswer: -41, 0, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*t + 4 + 51, 4*t = r + 10. Let v be ((-114)\/40)\/3 + r + -9. Is v > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 271 = 33. Let z = -122 + u. What is the highest common divisor of z and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + 0 - 2)*8. Suppose 0 = 2*a - k - 4, -5*a - 4*k + 2*k - q = 0. Solve a = -3*w + 4 + 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.181 (b) 2 (c) -0.4 (d) 0 (e) 13\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1534*o**2 + 1557*o**2 - 3115*o**2. Let t(b) = -b. What is s(t(f))?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*287076\/(-3054)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p + 17. Let x(h) = -12*h - 50. Calculate -8*r(z) - 3*x(z).\nAnswer: 4*z + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 83.4046084429+-190\nAnswer: -106.5953915571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 64*v + 63. Let g(a) = 1730*a + 1700. Let z(j) = -3*g(j) + 80*n(j). Differentiate z(b) wrt b.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.2 + 0.8. Which is smaller: h or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -166 (c) -1\/4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3097, 3090, 3079, 3064, 3045, 3022, 2995?\n\"Answer: -2*z**2 - z + 3100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -60*d - 125. Let m be j(-2). Let y(z) = z - 6. Let q be y(6). Put 3, q, m, -2 in increasing order.\nAnswer: m, -2, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*c + 529\/2 + 128*c**2 = 0 for c.\nAnswer: -23\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - -12 - (-2 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95270, -95296, -95312, -95312, -95290, -95240, -95156?\nAnswer: -95032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, b: 2}. What is prob of sequence mbb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42559 - 1787605\/42. Calculate the common denominator of z and 19\/8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*n**3*o - n**3 + 1003*n**2*o**2 + 31*n**2 - 2*n wrt o.\nAnswer: -5*n**3 + 2006*n**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 - 22*r**2 + 9*r**2 + 57*r - 57*r + 6*r**2 + 4*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -5*q**7\/42 - 31*q**4\/24 - 32*q**2. Find the second derivative of m(k) wrt k.\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -11844*u**2 + 189*u - 252. Let n(k) = -382*k**2 + 6*k - 8. Let f(d) = -63*n(d) + 2*x(d). Let p(i) = 6*i. What is p(f(h))?\nAnswer: 2268*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -59*r. Let w be x(-4). Suppose 0 = f - 2*f + w. Suppose 3*q - f = -74. What is the greatest common factor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/8 + 133077*c**2\/8 - 184465515*c - 184482150.\nAnswer: -3*(c - 22180)**2*(c + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 97565668 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 13 - ((-29 - 7) + (-1 - -7))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -831*n - 3699. What is q(-3)?\nAnswer: -1206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2691468.8 - 4.551?\nAnswer: -2691473.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 3\/4*d**3 - 11\/40*d**4 + 43*d**2 + 1\/600*d**6 - 1\/2100*d**7 + 0 + 0*d + 1\/30*d**5. Factor n(b).\nAnswer: -(b - 3)**2*(b - 1)*(b + 5)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.9 * 18845\nAnswer: 92340.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c - 9. Let p be f(10). Suppose -x - 262 = -5*r, 0 = 9*r - 10*r - 3*x + 46. What is the remainder when r is divided by (1 + 1)*p\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 23213319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a kilogram in grams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 7449 - 1767 = 0. Let z = -1179 + g. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 9. Let a = l + -13. Let f = 0.205 + -0.005. What is the nearest to f in -0.4, -1\/7, a?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 50 + 5*v**2 - 89*v - 85*v + 250*v - 77*v in the form u*v**2 + o + x*v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**2 + 0 + 0*p + 0*p**4 - 1\/3*p**3 - 1\/60*p**5. Find the first derivative of m(q) wrt q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(20) - sqrt(80)*1 - sqrt(20) - sqrt(20)) + (sqrt(180) - (sqrt(180) - 2*sqrt(180))))\/(-6*(sqrt(144)\/sqrt(3))\/sqrt(12)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 25. Let s be (12\/16)\/(30\/o). What is the second smallest value in s, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56322 and 974162?\nAnswer: 2086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8526 (base 12) to base 13\nAnswer: -6831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 74950 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25223 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12*(-4)\/(16\/14). What is the greatest common factor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 0 + 0 - 1 - x + 1 + (1 + 1 - 1)*(0*x - 3*x + x))*(-x**4 + 0*x**4 - x**4).\nAnswer: 4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c\/c**(-1\/21)*c)\/c)**(12\/13))**41 assuming c is positive.\nAnswer: c**(10496\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -24. Suppose 0 = -3*y - b*t + 52, 8 = 4*y - 3*y - t. Suppose 3*w + 3*w = y. What is the smallest common multiple of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -87*z**2 + 3555*z + 15607. Calculate p(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6 - -4 - -1)\/(1\/(-51)).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2 + 3*a**2 - a**2. Let o(h) be the first derivative of -7*h**2\/2 + 366. Give p(o(w)).\nAnswer: -98*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -5 - -19 - (-1 - -1)) + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -776, 7 in descending order.\nAnswer: 7, -3, -5, -776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 1. Let q be h(4). Let g = -0.041 + 0.541. Which is the smallest value? (a) 0.3 (b) g (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 1. Let y(d) = -d**2 + d - 1. Let c(n) = -3*j(n) - 4*y(n). Let p be c(1). Suppose 3 = -s + p*s. Is 3 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**3\/9 + 8*x**2\/3 - 80*x\/3 + 315. Factor j(r).\nAnswer: (r - 4)*(r + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 20, 3, 1\/4, -5, -2\/9997?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79342 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) 3 (c) -2\/3 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-7) + (-1)\/((-98)\/5082). What is the derivative of -21 + 47 + 26*y**3 + l + 37*y**3 wrt y?\nAnswer: 189*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 2*sqrt(80) + (sqrt(80) - (sqrt(80) + sqrt(80)*2)) + 1 - (-2 + 1 + sqrt(80) + 1))**2 + 0)*4.\nAnswer: -64*sqrt(5) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 3 + 15. Suppose 7*i - o*i - 66 = 0. What is the lowest common multiple of i and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, 65, 220, 429, 692, 1009, 1380?\nAnswer: 1805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4 = -4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(108) + sqrt(108)*-1 + sqrt(108) + sqrt(108))\/sqrt(9))\/(2*sqrt(24)\/sqrt(4)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219068332.\nAnswer: 2, 7, 7823869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*x = 120, 3*x = -3*p - 2*p + 128. What is the remainder when p is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (34 + -35)) + (2 - -49) + 3 - -12\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 - 116\/(-12). Let a be (5\/(w\/(-12)))\/1. Sort a, 0, -5 in decreasing order.\nAnswer: 0, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/17 (b) -4 (c) -5 (d) -2\/747 (e) 14 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6095050, 24380168, 54855356, 97520608, 152375918?\n\"Answer: -t**3 + 6095041*t**2 + 2*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**4 - 3*s**4 + 4*s**4)*(-1 + 1 - 1) - s**4 + 2*s**4 - 3*s**4 to f + x*s + k*s**2 + v*s**4 + z*s**3 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3566739?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3 = 8*k. Let r be 5 + 18\/(-5 - k). Suppose 2*u + 30 = 8*u. Solve -5*w + s + u = -7, -5*w = r*s - 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -3*h**8\/14 + 11*h**4\/6 - 11*h. What is the third derivative of p(g) wrt g?\nAnswer: -1440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 2*o**2 + 3*o + 2. Let y be i(-2). Let p(n) = n**2 + 2. Let k be p(y). Suppose 340 = 4*t + 4*z, -5*t + z + 279 + k = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4136, -1010, -6 in descending order.\nAnswer: -6, -1010, -4136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*j - 19. Suppose 0 = 32*p + 23 - 23. Suppose p = -5*x + j*t + 11117, -4*x + 4445 = -2*x - t. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3) + 2\/(-6). Let o(b) = -77*b**3 + b + 1. Is o(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -22. Suppose -2 = -2*v - c. Is v*(-2)\/4*-194 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036 a factor of 3520956600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/5 - 62*s = 0. Calculate s.\nAnswer: -155, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f. Let q(v) = -v. Suppose -74*i - 1 = -7*k - 76*i, 5*i = -3*k + 17. Calculate k*b(c) - 3*q(c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3 - 1 = 0. Suppose l + 0*v = -w*v + 14, 2*l - 12 = 4*v. Suppose -3*i = 3*t + t - 50, -2*t - l = -i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 25 = 8*q. Let n(h) = h**3 - 6*h**2 + 8*h - 11. Calculate n(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from bhjbjhhj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-2*-6*-1 + 1.\nAnswer: -12*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + sqrt(275) + sqrt(275) + -1*sqrt(275)*4)**2 + 1.\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -12*r - 98. Let n be q(-8). Let g = 2.323 - 0.023. Which is the third biggest value? (a) g (b) -5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16688094*a**3 + 27207083*a.\nAnswer: 100128564*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123 by -34029.\nAnswer: 41\/11343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 2. Let p be a(-3). Suppose 0 = 2*m + 5*t - 66, p*t - 3*t - 186 = -5*m. Let v = m + -7. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42144 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(133) + sqrt(133) - (sqrt(133) + sqrt(133)*-2*6))\/(5*2*sqrt(847))*-2.\nAnswer: -2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*l + 3)*(-4 - 2*l + 4) + l**2 + l**2 - 3*l**2 + (-18 - 47 - 18)*(-6*l**2 - 3*l**2 + 4*l**2) in the form g + k*l**2 + n*l and give k.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2945 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -60 (c) 45 (d) 2\/5 (e) -6 (f) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 divided by -2?\nAnswer: -501\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207 divided by -8.\nAnswer: 207\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7*48\/168*-4 - (-16)\/2. Factor 0*y**2 + 0*y + 9\/7*y**3 + 4\/7*y**5 + q + 15\/7*y**4.\nAnswer: y**3*(y + 3)*(4*y + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 89831 and 64165.\nAnswer: 449155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -42 + 113?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 448*n**3 - 86*n**2 + 89*n - 3. Calculate k(1).\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2*k - 3*k)*(-3*k - 2*k + 4*k - 74*k - 7*k - 102*k + (-1 + 1 - 1)*(-2*k + 3*k - 4*k)).\nAnswer: 362*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 - 4 + 11 + 2*b**3 + 3570*b - 3604*b as r*b**2 + f*b + k + j*b**3 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4, 79 = 4*w - 5*h + 10. Let z(f) = -f**3 + 6*f**2 + f + 2. Let b be z(6). Calculate the highest common factor of w and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7 + 23 + 0*g - g - 12. Let h be m(5). What is the first derivative of -h*a**2 + 17*a**2 + 18*a**2 + 29 wrt a?\nAnswer: 44*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g + 9 = t, -3*t - 4*g = -11. Suppose -t*j + 34 = -151. What is the remainder when j is divided by ((-2)\/2)\/((-1)\/13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 229 (b) 3 (c) -44 (d) -3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 252, 258, 268, 282, 300?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**3 - 23*u**2 + 28*u - 13. Let x be g(-9). Calculate the highest common factor of 2537 and x.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 127 (c) -0.269 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1026 divided by -84717.\nAnswer: -114\/9413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 - 63. Suppose 0 = -a*x - 0*x - 3*b - 18, x - 4*b = -1. Let v = 88 + x. Calculate the remainder when v is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1802390?\nAnswer: 2, 5, 180239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {d: 12, r: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from {k: 2, x: 2, l: 2, b: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25975339.\nAnswer: 13, 97, 20599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*12205288.2.\nAnswer: 732317.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 5*i**2 + 8*i - 2. Let r(j) = -2*j**3 - 10*j**2 + 18*j - 3. Let o(d) = 5*l(d) - 2*r(d). Calculate o(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9980296 and 91399?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2*m + 1 - 25, 4*m = -4*v. Suppose -3*y = v + 14. Let f(b) = -b - 4. Let c be f(y). Solve c = -3*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -5, -3, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.13174 millilitres in litres?\nAnswer: 0.06813174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28948267?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1787904488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3849c (base 13) to base 8\nAnswer: -313200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.12 (b) 1 (c) -4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23943052 divided by -3?\nAnswer: 23943052\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -443.1441154 - 1226?\nAnswer: -1669.1441154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372656, 372346, 371828, 371102, 370168, 369026, 367676?\nAnswer: 366118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/80542 and -101\/329490.\nAnswer: 3624390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40.938 + -4.938. Sort p, 18, -5 in increasing order.\nAnswer: -5, 18, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60800632285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 44 = 34. Let u(c) be the third derivative of 0*c + 1\/27*c**4 - 4*c**m - 1\/9*c**3 - 1\/270*c**5 + 0. Factor u(k).\nAnswer: -2*(k - 3)*(k - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7170 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 8*a + 5. Give p(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2864323, -2864347, -2864373, -2864401, -2864431, -2864463?\n\"Answer: -n**2 - 21*n - 2864301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2415 - 1246. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 1\/2, 4, -2\/9, 2\/13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h - h**2 - 58*h - 84*h + 0*h**2.\nAnswer: -h**2 - 123*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -587 + 118. Let v = i - -462. Do v and -87\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -276.6 - -301. Let q = r - -4.6. Let m = -26 + q. Which is the biggest value? (a) 1\/4 (b) 0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, m: 1, k: 1, v: 3}. What is prob of sequence vkv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 11*i**4 - 3*i**4 - 16769*i**2 + 16770*i**2 - 2*i as x*i**2 + g*i**3 + d*i**4 + y + o*i and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/3 - 80*u**2\/3 - 111*u - 84.\nAnswer: (u - 84)*(u + 1)*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65359410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**24*o*o\/((o\/o**(-28))\/o))\/(o**(-1\/23)*o**(6\/11)*o))**(-8\/17) assuming o is positive.\nAnswer: o**(7088\/4301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 6. Let s be (b\/(-7))\/(2\/(-6)). Let u = 2 + -1.7. What is the second biggest value in u, s, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3.2. Let v = 2044\/11 + -186. Is o at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 - r**3 - 15 - 3*r**2 + 17 + 7*r to s*r**2 + o*r + b*r**3 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**3 - 46130*k**2 - 138376*k - 92248 = 0.\nAnswer: -23062, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 1. Suppose -p + 4*p = 3. Let u(t) = 9599 + t**2 - 19160 + 9555. Determine p*u(j) - 6*v(j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -6*o**2 - 13*o + 7. Is k(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*f + 8951 = -450*f + 19107 + 42575 for f.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufz when three letters picked without replacement from {f: 7, z: 3, u: 3}?\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 80\/281, -0.3, 0.195 in increasing order.\nAnswer: -0.3, 0.195, 80\/281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 23*d + 27. Let z be s(-24). Let k(q) = 3*q - 5. Let f be k(3). Suppose c + f*c = x - 9, -x - 3 = c. Is x at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 - 79. Solve -6*x = 12 + n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 8*k - 9. What is the tens digit of p(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -30, -4, 0.\nAnswer: -30, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o - 15. Suppose -245 = -9*f - 74. Calculate the remainder when j(f) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/1311)\/(12\/92)*1\/(5\/(-1245))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 74*v + 373. Determine y(-13).\nAnswer: -589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 1, d: 1, a: 9}. What is prob of sequence da?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14560 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d + 5954 - 14200 = 0. Solve 0 = -52*o - 10*o - d for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**3 - 264*o**2 + 1755*o wrt o?\nAnswer: 6*o - 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11329828 is divided by 58?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 21. Suppose 3*w - 10 = -s - w, 5*s - u = 3*w. What is the units digit of (14\/21)\/(s\/(-3))*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -13*c**2 + 136*c + 598. Let w(i) = -4*i**2 + 36*i + 199. Calculate -7*w(d) + 2*z(d).\nAnswer: 2*d**2 + 20*d - 197","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 32*s**2 - 75*s**2 + 40*s**2. Let m(g) = -16*g. Calculate x(m(n)).\nAnswer: -768*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from qjqtqtttgqjjqhqrt.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1990 by 4.\nAnswer: 995\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7 = -1. Differentiate -3*o**4 - o**4 - 2*o**4 - 4 + k*o**4 with respect to o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75981.97 millilitres to litres.\nAnswer: 75.98197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 371, 1154, 2627, 5006?\nAnswer: 8507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 18*z + 80. Let s be o(20). Calculate the highest common factor of 60 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 80*b**2 + 355*b - 384. Determine g(75).\nAnswer: -1884","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 - -169 - (-6 - 19) - (3 - 25)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-18) + (-85)\/(-225). What is the biggest value in -2\/3, 3\/4, k?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37662.325 - -4.325. Let g = h + 37703.038. Let y = 45 - g. What is y rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 2*x - x)*(-3 - 1 + 5) - x - 74 + 79 - 2*x + (-4*x + x + x)*(-1 + 0 + 0) + 1 - 1 + 2*x.\nAnswer: 3*x + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*c + 13, -3*j + 9 = 2*c. Let n(v) = -v. Let x be n(-6). Solve -y = x - j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2230382 divided by 7\nAnswer: -318626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y**2 + 3*y**2 - y**2)*(-363 + 870 + 386) to n*y**2 + x*y + z and give n.\nAnswer: -1786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2065650?\nAnswer: 2, 3, 5, 47, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 3\/4, -4, 0.037, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2026465741.\nAnswer: 29, 71, 984199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3341 - -3057.9. Let q = g - -315. What is q rounded to 0 decimal places?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -140\/167 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 - 255*x - 6268. What is p(-111)?\nAnswer: -2605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4 - 1 + 14*z + 2 - 4. Let c(i) = -i**3 - i**2 + 3*i + 1. Let a(d) = d**2 - 4*d - 7. Let p be a(5). Let f be c(p). Calculate m(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. Suppose 0 = -0*g + r*g - 255. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*x - 17*x - 13*x in the form a*x + w and give a.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 308*d**2 - 1. Suppose 3*p + 1 = -a - 15, -p = 2*a + 7. Is q(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 17\/4*h**4 + 0*h**2 + 20 + 0*h**3 - 7*h. Differentiate v(j) wrt j.\nAnswer: 51*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -295 + 491. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b - 3*b + b)*(5 - 4 - 2) + 1 - 4*b - 1)*((0 - 3 + 1)*(0*b + b + 0*b) + 6*b - 33 + 33).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z = 17*z + 14*v - 20, 2 = -3*z + 33*v - 37*v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 3, x: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45486943 to the nearest integer?\nAnswer: 6744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.1075282 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4213, 4215, 4217, 4219, 4221, 4223?\n\"Answer: 2*m + 4211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 - j**2 - 2*j**2)*(2*j - j - 2*j) + (j + 2*j - 2*j)*(3*j**2 - 3*j**2 - 2*j**2) to p*j**3 + v*j + f + m*j**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 957d + -154?\nAnswer: 9429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0864 - -0.1136. Put -76, 4, i, 0.5 in decreasing order.\nAnswer: 4, 0.5, i, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiicduiiddciiciuciui. What is prob of sequence uci?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2193*u + 3*u**2 - 3845 + 1893 + 1954 to the form m*u**2 + w + v*u and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 2 = 26 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-10))\/((-4)\/10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, b: 15}. Give prob of sequence blb.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -72, -148, -224, -300, -376?\n\"Answer: -76*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v**3 - 56610*v**2 + 4316*v?\nAnswer: -18*v - 113220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 8:05 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/19, 10, -2\/11?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*c = 342, 4*o - 4*c + 120 = 604. List the prime factors of o.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**5\/60 - 7*x**3\/3 + 11*x**2\/2 + 11. Let m(u) be the second derivative of t(u). Differentiate m(c) with respect to c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 11100011100100010?\nAnswer: 11100011100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -15. Suppose -y - h*y = -27. Calculate the least common multiple of y and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h, 2*y = 12*h - 10*h + 7278. Suppose 5*n + 1212 = 5*w - 3368, n - y = -4*w. What are the prime factors of w?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Let u(b) = b - 1. What is the units digit of u(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - r + 8 - r)*(3*r**2 - 3*r**2 - 2*r**2) + 3*r**3 - 2*r**3 - 4*r**3 as o + a*r + v*r**3 + h*r**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2302842330 to the power of 1\/3, to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10183 and 407.\nAnswer: 4144481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9985*a**3 + 394*a + 3.\nAnswer: -59910*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/9)\/p*p)**(-26)\/(p**(-4\/5)\/(p*p**(-11))) assuming p is positive.\nAnswer: p**(-154\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (540\/160)\/(741\/(-9880))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*m - 20*l + 23*l = -78 - 63, 5*m + 3*l = -5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2250318512 to the power of 1\/4, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z = -3*h + 19, h - 9 = 2*z. Let k be (-10)\/5*h - 16\/(-14). Which is bigger: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24 - -2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -17. Suppose -a*m + s = -162, 0*m - m = -s - 30. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 4, 2\/135, -33, 1\/6 in ascending order.\nAnswer: -33, -4, 2\/135, 1\/6, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34062, 68215, 102368, 136521, 170674?\n\"Answer: 34153*d - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-6)*b*b)\/b*b*b**(-3\/8))\/(b\/(b\/(b*b**(2\/7)))*b)**13)**(-48))**(8\/5) assuming b is positive.\nAnswer: b**(91632\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 310324 (base 5) to base 8\nAnswer: 23551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 43072?\nAnswer: 43072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 15. Let a = 102 + -117. Let o be g(a). Let r(p) = 2*p**2 - p + 3. Let n be r(o). Solve -5*u - 23 = -4*h, n*u - 2*h - 2*h + 17 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475 + 212 = -w + 3*d, -5*w = -d - 1315. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*2\/4 - 9. What is the smallest common multiple of 8 and (-6)\/2*30\/n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86955724267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213 (base 10) to base 3.\nAnswer: 21220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -41130*l**2 + l**3 + 0*l**3 + 41532*l**2 as s*l**2 + p + v*l**3 + o*l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/(sqrt(98)*-2)*5.\nAnswer: -10*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 15*x = -24785 - 25286. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 650 and 585.\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 7*p - 34. Let j = p + -5. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t - 2*t - 2*t)*(-149*t**3 + 7221*t - 7221*t) to q*t**3 + g*t**2 + a*t**4 + i*t + r and give a.\nAnswer: 1043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 c when four letters picked without replacement from xccyoccxoxroco.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2. Let h(q) = 493*q - 565*q - 270 - 2037*q + 85. Let n(d) = 34*d + 3. Let l(u) = 3*h(u) + 185*n(u). Give y(l(o)).\nAnswer: -2738*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/21 - (-76)\/14. Let j = o - 5. Suppose s - 4*k - 4 = j, s - 3*k + 0*k = 3. Solve u + 4*u = s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 12:20 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2172901 or 2172912?\nAnswer: 2172912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 405 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 4.2. Let z = -3.252486 + 0.052096. Let b = z - k. Round b to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/14*((-140)\/(-2))\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1278 - -1283. Which is the closest to -10? (a) -3 (b) m (c) 14 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 152072249079 and -5?\nAnswer: 152072249084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1053) + -4.\nAnswer: -4 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**2 + 16*c + 3. Let j be g(-4). Solve -10 = -j*m + 4*n, 4*m + 0*n = -n - 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572856 is divided by 569988?\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -116 + 119. Suppose l*o + 7*o - 120 = 0. Let y be 32 + -1 - 1 - 0. Calculate the greatest common factor of o and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrxxrr. Give prob of picking 3 r and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 4:07 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 466 (b) -2 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 13*w**2 + 94*w. Let h(a) = -8*a. Calculate m(h(y)).\nAnswer: 832*y**2 - 752*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n = 3*v + 34*n - 3508, -5*n = 25. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2406 divided by 401\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 555930 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105455 - 59327. List the prime factors of g.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 8:49 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a + r = 11, -2*r = a + 3. Let s be 2*2 + (a - 9). Let w be (1 - (s - 1)) + 1. Let q(x) = -x + 1. Let k(g) = g - 2. Determine w*k(p) + 4*q(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 + 3*u**2 - 15*u - 39. Determine w(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4 = r. Let h be -3 - (-3 + (r - 1)). Find the third derivative of -2*k**h + 0*k**2 - 8*k**3 + 5*k**3 + 0*k**2 wrt k.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 1, s: 1, w: 1, o: 1}. What is 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: Solve 87*j + 80 = -29 - 239 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-45))\/((8\/(-12))\/(-2)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 9, -1, -4, -22 in descending order.\nAnswer: 9, 6, -1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/4 + 7\/4. Let f(r) = -3*r - 8*r - r + i + r. Suppose l = -3*l + 4. What is f(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 123\/41956 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 828 = 2*b, 4*b - 289 - 110 = -g. Let m = 780 - g. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.5 + 77.2. Let g = 7049701.511 + -7049749.21100203. Let d = s + g. What is d rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/(-23368)*18)\/((-162)\/72)?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.09, -2.3, -1, -0.04 in decreasing order.\nAnswer: -0.04, -0.09, -1\/3, -1, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 8. Let y(x) = x**3 - 7*x**2 + 3*x - 9. Let q be y(7). Let a be k(q). Solve 4*v + a*l - 4 = 0, 4*l = 5*v - 19 - 22 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 4142?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50794 and 3706.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -18.6 * 2.4882\nAnswer: -46.28052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 8*c**2 + 4*c - 2. Let z be s(1). Suppose 0 = -3*t - 5 + 50. Calculate the highest common divisor of z and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 950106?\nAnswer: 2, 3, 158351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6554561041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 82?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29624 divided by 4232?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 214 - 124. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -17*a - 117. Let x be q(-8). Let j(s) = -21*s - 10. Let w be j(-5). Calculate the greatest common factor of x and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 419901493523+-241\nAnswer: 419901493282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -369130*j**4 + 87358*j**2 wrt j?\nAnswer: -8859120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113 - -3?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Let q(j) be the first derivative of 5*j**3\/3 - j**2\/2 + 2*j + 15. Let i be q(n). Solve -4*o = o - i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 914537?\nAnswer: 13, 103, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19\/140 - -3\/20. Let a = 1.93 - -0.07. Let y = 2 - a. Sort -2, x, y in decreasing order.\nAnswer: x, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 2) + -10 + 30.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**4\/12 + 4*a**3\/3 - 2*a**2. Let s be d(-7). Suppose f - s = 11. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11256 + -11256.19. What is the nearest to c in -2, -2\/9, 0, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7758*f**2*p**2 - 417*f**2 + 3389316*p**2 with respect to f.\nAnswer: 15516*f*p**2 - 834*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/28 and 137\/162.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3305251 (base 7) to base 4\nAnswer: 1202323201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540296.\nAnswer: 2, 67537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -13*z + 462. Calculate y(36).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1193.4+441726565\nAnswer: 441727758.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/(-52)*-3*8\/(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**4\/4 + 4*i - 3. Let r be v(0). Solve -25 = r*o + o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 2\/19 (b) 9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10554)\/(-126) - 2)\/(2\/(-6)). Let n = 245 + j. Which is greater: -1\/11 or n?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*n + 13. Let z be 2\/3 - n\/(-3). Solve p + h - 1 = 1, 22 = 4*p - z*h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -787 + 387. Let a = t - -400.01795. Let p = a + -0.018. What is p rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/30940 and -117\/1666.\nAnswer: 216580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (4 + 3 + sqrt(1053) - 2*((sqrt(1053) - -1*sqrt(1053)) + sqrt(1053))))*-6)**2 + 2.\nAnswer: -12960*sqrt(13) + 948278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 = 3*n - 92, 2*n = 3*o + 65. Suppose 2652 = -n*t + 45*t. List the prime factors of t.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j**2 - 2*j - 4. Let d be 1\/5 + 96\/20. Suppose -d*w + 4*l - 1 = 0, -4*l = -0*l - 16. Is v(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/48)\/(4\/10*5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-135)\/54)\/(5\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**4\/102 - 13*t**3\/51 - 42*t**2\/17 - 276*t. Factor i(y).\nAnswer: -2*(y + 6)*(y + 7)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8.64, 4, 0.73 in decreasing order.\nAnswer: 4, 1, 0.73, -8.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -n - 3*x - 17, -3*x = 3*n + 6. Suppose -21 = -n*w - 3. Let y = -24 + 54. Calculate the greatest common divisor of y and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19895114*a + 25610506 wrt a.\nAnswer: -19895114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/20718640 and -89\/26934232.\nAnswer: 269342320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v - 6. Suppose -o - 30 = 4*o. Calculate q(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2 = 4*j - 4*q, -3*j - 1 = -2*q. Does 15 divide (-2*j + 33)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-10) - 2\/(-5). Suppose -u = -3*u - p. Is u smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(13)*-5 - sqrt(13)) + -2) + 0 - (-3 + (5*sqrt(832) - sqrt(832)) + -4))*2)**2.\nAnswer: -272*sqrt(13) + 1364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-5) + 2\/(-5). Let l be ((-20)\/(-12))\/((-2)\/6). Put l, 0.1, -0.3, n in ascending order.\nAnswer: l, -0.3, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -46*i**2 - 4*i + 7. Let p(k) = k**2 + k - 1. Let c(f) = -6*p(f) - t(f). Is c(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 83*n**2 + 2*n. Let v(r) = -7*r**2. What is c(v(i))?\nAnswer: 4067*i**4 - 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*a - 9 = 0, 0 = -3*a + 3. Sort r, 2, -2 in decreasing order.\nAnswer: r, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*n + 2*n - 5*n)*(-1 - 3 + 5) - 8*n - 8*n + 5*n - n - 4*n - n)*(1 - n - 1) + (-2*n + n + 2*n)*(0*n + 2*n - n).\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**2 + 387*w + 1500 = 0.\nAnswer: -125, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 - 9)\/(0 + -2). Suppose o + b = 22, 3*o - o + 5*b - 56 = w. Solve 5*d - 8 = -o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 10) to base 16\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 784 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 392328463\/56745 - -18\/6305. Let u = -6906 + p. What is the common denominator of u and 404\/(-30)*(-3)\/4?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -10*d**2 + 3. Let k(x) = -25*x**2 - 30*x + 77. Let p(f) = k(f) + y(f). Factor p(t).\nAnswer: -5*(t + 2)*(7*t - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 760 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115931.\nAnswer: 115931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f + 3 = 0. Suppose 3*z = 5*r - 170, f*z + 2*z - 68 = -2*r. Factor -8*b**5 - 44*b**2 - 9*b + 0*b - 56*b**3 - 2 - r*b**4 - 7*b.\nAnswer: -2*(b + 1)**4*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/663 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 - 124. Let f = j - -26. Let u = f - -35. What is the second smallest value in 5, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 754 (b) -2\/13 (c) -1\/5 (d) 0.117 (e) -3\/4 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 12.6466798.\nAnswer: 12.5466798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1255.\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*j + 5, -5*b - 5*j - 75 = 0. Let n be (-1)\/(-2) + b\/(-8). Suppose n*t + t = 4. Calculate the remainder when 2 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, s: 3, p: 4}. What is prob of sequence ppp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -4, 10.9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 71, 109, 143, 137, 55?\n\"Answer: -6*n**3 + 34*n**2 - 22*n + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 4*p**5 - 2 + (-3*p + 2*p + 3*p)*(-2*p**4 - 3*p**4 + 0*p**4).\nAnswer: -14*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -595*m + 92*m = -13078 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -119*h + 135*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2303769 + -4596231. What is k rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7606.886 millilitres to litres.\nAnswer: 7.606886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 76297031 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/(((-14)\/(-21))\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + x - x)*(-x - 4*x + 0*x) + (x**2 - x**2 - 2*x**2)*(4 - 3 + 0) - 215*x**2 + 55*x**2 + 42*x**2.\nAnswer: -110*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -52 + 24 + 11 + -2 + 7 + (2 - -39)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5424 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/101516 and 17\/18570.\nAnswer: 1522740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/17)\/t**9 assuming t is positive.\nAnswer: t**(-152\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + 2*q**3 - q**2 + (2*q**2 - 49*q + 49*q)*(3*q + 1 - 1)*(4 + 1 - 2) + (0*q - q**3 + 0*q)*(-1 + 5 - 3).\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-56)\/6 - (-60 - -50). Solve -1\/3*q**5 + q**2 - 1\/3*q**3 + 0 - q**4 + g*q = 0 for q.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 - 21*y + 11*y - 2 + 8*y - 3*y**2. Let f be g(2). Suppose f*p - 3*p + 35 = 0. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -o - 8, -4 = 3*o - 2*o - 2*h. Let t = -3 + o. What is the units digit of (-11)\/3*t + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7118 + 0.2882. Sort r, 3\/5, -17, 0.2 in ascending order.\nAnswer: -17, 0.2, 3\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/11*0\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 107652*x - 322965.\nAnswer: (x - 3)*(x + 107655)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 24322, -1.\nAnswer: -4, -1, 5, 24322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4235 (base 8) to base 2\nAnswer: -100010011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pju when three letters picked without replacement from {g: 2, z: 5, p: 5, j: 1, u: 2, y: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11287*c**3*n**2 + c**3 + c**2*n**2 + 9*n - 427 with respect to n.\nAnswer: 22574*c**3*n + 2*c**2*n + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - s**2)*(-3*s**2 - 2*s**2 + s**2) as c + w*s**4 + l*s**2 + r*s + a*s**3 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -175 - -177. Suppose -4*t + 14*h = 9*h - 61, 0 = f*t - 4*h - 32. Calculate the remainder when 39 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 2*x + 25 - 55 = 0, 10 = -2*x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 6*t = 72 - 34, -t - 6 = -2*t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2022 divided by -6\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5016\/13 - 385. What is the common denominator of -2*(-2)\/(-10) + (-3822)\/3120 and i?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 - 40 = -3*m - 4*i, 4*m + 4 = 4*i for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 5\/(230\/(-4)). Let q = 1.97 + -2. Let n = q + 5.03. What is the biggest value in n, 0, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 481a96 - -2?\nAnswer: 481a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -789?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 + p**2 - 10. Let d be m(0). Let q be (3 - 4)\/3*60\/d. Let h(o) = o**3 - o**2 + 2*o - 3. What is h(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let y(f) be the second derivative of f**3\/6 - 4*f. Let r(d) = 2*n(d) + 3*y(d). Let q(j) = 6*j. Give r(q(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59767 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: Calculate prob of picking 1 m and 2 x when three letters picked without replacement from {c: 1, x: 1, p: 2, y: 2, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 127*f + 127. Let i be p(-1). Let l = 16 + -9. Let k = l + -12. Put -2, k, i in descending order.\nAnswer: i, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -18 + (1 - -1 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 - 13*c**2 - 11*c + 57. What is the remainder when g(-13) is divided by 160?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 + 2305*l**3 - 4705*l**2 - 34725*l.\nAnswer: 5*l*(l - 5)*(l + 3)*(l + 463)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 + u**2 + 335*u - 336*u - 15*u**3 as r*u + h*u**2 + o + b*u**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -4 + (1 - (-34)\/2). Suppose 14 + 18 = p*w. Suppose 2*h + u + w = 3*h, u - 5 = 0. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-231)\/(-44)))\/((-60)\/105*(-2)\/52)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*m - 2*f + 8 = 270*m, -2*m + 3*f + 20 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11053530 divided by 122817.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36, 150, 340, 606, 948, 1366?\n\"Answer: 38*f**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 775478373 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**2 - 2*t**2 + 0*t**2 + 3 + 2*t**2 - 3 + (3*t - 1 + 1)*(1 - 1 + 2*t).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -222 - -232. Put -3, 17, y in decreasing order.\nAnswer: 17, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3670 + 3670 + 353271*p**2 + 335600*p**2.\nAnswer: 688871*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1266189923 take away 4?\nAnswer: -1266189927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdidddiidiidd. Give prob of sequence im.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8997064, -8997063, -8997060, -8997055, -8997048?\n\"Answer: s**2 - 2*s - 8997063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83808*w**2 + 74*w + 0 + 0 + 83803*w**2 to n + m*w + u*w**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23459030 a multiple of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(147) + 1 + sqrt(147) + -4)*1 + -4.\nAnswer: -84*sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 6 = q. Suppose -g + q = 4*c - 2*g, -3*g = c + 2. Let l be (12479 + c)\/(10\/3125). Round l to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**4\/d)\/d*d)\/(d\/(d*d*d**(3\/2)*d*d)*d)*d**(-1\/20)*d*d\/((d*(d**(-12)\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(449\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**4\/4 + 5*k**3\/3 - k**2\/2 - 2*k - 20. Calculate z(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 9*d - 4. Suppose 5*g + 5*m + 40 = 0, -5*m - 11 + 35 = -3*g. Let r be s(g). Let x be 8\/12 - 10\/(-3). Solve r = -k, x*u + 28 = k - 3*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/7 - 625*i\/7.\nAnswer: i*(i - 625)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = -3*q + 6*q. Calculate the greatest common divisor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 22*d = 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 695\/4 - 174. What is the nearest to -7\/5 in 2\/5, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -18*h - 96*h - 75*h. Solve -a = -2*y - 4 + 8, h = -2*y - 4*a + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*o + 8, 2*x - 4*o = -12. Let l = -1 + x. Let n(q) = -q. Let a(j) = j**2 + 5*j. Let p(u) = l*a(u) + 5*n(u). Let v(r) = -4*r. What is p(v(k))?\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 47, 2?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**2 - 3016*m - 1089018 = 0.\nAnswer: -301, 1809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19579419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -33003*i - 99002. Determine c(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75466*-0.44.\nAnswer: -33205.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 3*b + 5. Let u be s(4). Let l be (10\/3)\/(u\/6). Suppose -10 - 22 = -4*y. Calculate the highest common divisor of y and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1700)*3 - sqrt(1700)) + sqrt(1700))**2 + -5 - 6*(4 + (3 + sqrt(17) + 2)**2).\nAnswer: 15020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(170) - (sqrt(170) + sqrt(170) + (sqrt(170) - (sqrt(170) + 1*sqrt(170)*5)) + sqrt(170)) - sqrt(170)))\/((2*sqrt(80))\/sqrt(8)*1).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (396 + 554 + 1095)*(-4*o + 3*o + 2*o) to the form k*o + h and give k.\nAnswer: 2045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + ((sqrt(416) - 3*sqrt(416)) + sqrt(416) + sqrt(26))\/(sqrt(2) + (sqrt(72) - (sqrt(72) - -4*sqrt(72))) + sqrt(2))))**2.\nAnswer: -135*sqrt(13)\/11 + 109953\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**8\/3360 + m**7\/1512 - m**6\/2160 - 5*m**4\/8 - 5*m**2. Let k(z) be the second derivative of s(z). Factor k(h).\nAnswer: -h*(2*h - 1)*(3*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32, 209, 476, 815, 1208, 1637, 2084?\n\"Answer: -3*b**3 + 63*b**2 + 9*b - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2668.71613 rounded to zero decimal places?\nAnswer: -2669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3960707, -3960706, -3960707, -3960710, -3960715, -3960722, -3960731?\n\"Answer: -h**2 + 4*h - 3960710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -3*u. Let c(l) = 2*l + 5. Suppose -6*r + 2239 = 5*w - 8*r, -4*w - 2*r + 1784 = 0. Let d(o) = 2*o + w - 889 + 448. Calculate u*c(a) - 3*d(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -468, 4, 5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -99, -148, -199, -252, -307, -364, -423?\n\"Answer: -w**2 - 46*w - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 5. Which is the closest to -1? (a) p (b) -2\/17 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 18*z + 2. Calculate l(-9).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.367749*91\nAnswer: -33.465159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/21*(4 + 28\/(-8))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5907*l**3 + 18726*l**3 + 8839*l**3 - 3284*l**3.\nAnswer: 30188*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/487 in -0.3, 0.3, 1, 2, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 17*c = -6. What is the remainder when 9 is divided by ((-6)\/(-10))\/((0 + c)\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1\/2 (b) 15 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703729?\nAnswer: 13, 54133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 38. Suppose 12*u - 71 - 37 = l. Let j be ((-2)\/6)\/((-3)\/u - 0). Let w(r) = -r. Determine w(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 178 and -271.71.\nAnswer: -48364.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*b = 117*b + 1212 + 813 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a = -20*a - x - 12040, -4*a + 24086 = -x. Calculate the remainder when a is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 43*k**2 + 7*k - 2. Let r(x) = x**2 + 2*x - 1. What is c(s) - 3*r(s)?\nAnswer: 40*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6.058 * 1\nAnswer: -6.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1443, -2887, -4343, -5817, -7315?\n\"Answer: -c**3 - 1437*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 11*g - 13. Let u be k(9). Let t(o) = -1 - 2 - o + u - 4. Calculate t(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11182 + 223569\/20. Let c be 4382\/(-1170) + 4 + (-6)\/(-2). Let x = 5\/234 - c. Calculate the common denominator of k and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 3*g**2\/2 - 1. Calculate f(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 145762752?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/10 + (-1)\/(-2). Suppose 5*d - 10 = -3*o + 5*o, 0 = -3*o. Let i be 7\/(105\/(-54)) - 6\/(-10). What is the third biggest value in r, d, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/20)\/(255\/102*(-9)\/(-4)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 8. Calculate the common denominator of (-5 + 3)\/(u\/(-23)) and (1 - 32)\/(-11 - -1).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -26, 1 in decreasing order.\nAnswer: 1, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/20154?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78562 - 78562 + 387*x.\nAnswer: 387*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -704306, -2817005, -6338170, -11267801, -17605898, -25352461, -34507490?\n\"Answer: -704233*r**2 - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = -9*y - 16. Find the third derivative of -7*m**6 + 4 - 9*m**2 - y wrt m.\nAnswer: -840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-five eighths of a day?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2303873, 4607759, 6911643, 9215525, 11519405, 13823283?\n\"Answer: -j**2 + 2303889*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -276.85 - -278.85. What is the closest to c in 108, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4810306 and 1406?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, i: 8, p: 2}. What is prob of sequence iia?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 9*u + 11. Let g be h(-8). Suppose m + 3 = -g*r, -5*m + 19 = -2*r - 0*m. Is r smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i - 9. Calculate x(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1552547, 3105224, 4657901, 6210578?\nAnswer: 7763255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000694814741 rounded to seven dps?\nAnswer: 0.0006948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.4 and 2.2.\nAnswer: 3.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5 = -4*l. Suppose 3*u = 3*s, 9*u - 2 = 3*s + 4*u. Which is the smallest value? (a) 2\/5 (b) s (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 3. Let n = a - 0. Let r(i) = -8*i + 10*i + i - 2 - 3*i**2. Calculate r(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3933698ug to grams.\nAnswer: 0.0000003933698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 27 - 85 + 25 + 2*a**2 + 33. Suppose -2*o + h = 2*h - 1, 5*h - 5 = -5*o. Let f(u) = -3*u + o*u - 3*u. Give r(f(b)).\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 9. Let n be l(-5). Suppose n*y = -y + 15. Is 55 - (-5 + y + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -149*l**2 + 47*l.\nAnswer: -298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111 - -221. List the prime factors of y.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08971 * -28.2\nAnswer: 2.529822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 735272855?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + k**2 - 78*k - 42. Calculate a(-8).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from dttddddtdddddddddzdd?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 + -0.3. Suppose -x + 0*u - u = 1, 2*x + 4*u + 12 = 0. Let o be 0 + (-2)\/x*3. What is the second smallest value in o, -2\/3, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 7 - (-285 - -400)) + 24.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5890 and 21390.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -245 + 403. Suppose -418 = -5*w - m. List the prime factors of w\/5 - (-15)\/25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4553 - -17783. Does 45 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 2060031?\nAnswer: 2060035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -3\/2*z**2 + 2 + 0*z. Let x(h) = 2*h. What is c(x(j))?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/(-34) - (-12)\/102.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-14 - (8 + 0)) - (-1 + -3 + -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*u + 3. Suppose 2*s - 104 = -2*i - 544, 3*s = 4*i - 688. Let r be 1 - 2\/7 - 64\/s. Solve -g = -h + r + 1, -u*g - 4*h - 20 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 3, 0, -516.\nAnswer: -516, -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8811 = 3*v + 2*l, -5*v - 4*l + 14687 = -0*l. Let t = v - 1278. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 8 + -2 + 32 - (30 + (-82 - -48))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 3*x**2 + x**2)*(-x**3 - 2 + 2) - 581*x**4 + 3261835 + 10*x**5 - 3261835.\nAnswer: 12*x**5 - 581*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 28*67.6\nAnswer: 1892.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 260*h**2 + h - 4. Let q(k) = -259*k**2 - k + 6. Calculate -3*l(a) - 2*q(a).\nAnswer: -262*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 + 2.02. Let v = k - 3. Let d = 396 + -395.7. Put v, 2\/3, d in descending order.\nAnswer: 2\/3, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**3\/7 - 68*q**2\/7 - 5632*q\/7 + 11520\/7 = 0.\nAnswer: -40, 2, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**7\/7 + f**4 - 2*f + 14. Let w(t) be the first derivative of z(t). What is the third derivative of w(b) wrt b?\nAnswer: -360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 23*y**2 + 10*y - 2. Let f(m) = -2*m**2 - 2*m. Give -5*f(v) - p(v).\nAnswer: v**3 - 13*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 55*s**3\/6 + 139*s**2 - 157*s. Let y be x(-5). Solve -y*m + 9 = -6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*g + 212*g + 212*g + 214*g + 209*g - 113*g - 944*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x**2 - 50 + 50 + 0*x**2.\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-19)\/o*o**(-22)*o\/o**4*o*o**(5\/9) assuming o is positive.\nAnswer: o**(-391\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 2*h + 2. Let g be q(2). Let b be -2 + 1 + (g - 2). Let w be 11\/(b + 6\/4). Calculate the greatest common divisor of 55 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-276)\/69 - (-47970)\/12013.\nAnswer: -2\/293","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -1) + -60 - 3. Let g = -39 - t. What is the remainder when g is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxxxxxvvxxoxoxfvo. Give prob of picking 1 x and 1 v.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1380 + -1377. Solve 0 = -9*n - c*n + 12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 0*a + 4*a)*(5*a**2 - 101*a**2 - 93 - 32663*a**3 + 32665*a**3) in the form l*a**4 + g*a**3 + u*a**2 + w*a + m and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 less than 1.6586?\nAnswer: -190.3414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.28 - 0.02. Let g = 0.04 + m. Let h = -9\/14 + 31\/70. What is the nearest to 1 in g, h, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39156584*l**3 - 30207446 wrt l.\nAnswer: 117469752*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/27)\/(18\/(-27))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -34*k + 33*k. What is the nearest to -2 in 0.4, 1\/2, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5282\/(-5852) + 24\/28.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -0.3229 (c) -15 (d) 2 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156745226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 2)\/((-6)\/18). Let g(s) = 19 - 15 + s - x. Suppose -4*i - 20 = -3*u, 5*u - 2*u = -5*i - 25. Give g(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 5*n + 13, 4*n - 142 + 132 = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3*285\/10. Suppose 2*j - 7 = b. Calculate the greatest common divisor of 104 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/18 and 79\/4990?\nAnswer: 44910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -144, -192, -218, -216, -180, -104, 18?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 248401.1 nanograms?\nAnswer: 248.4011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -517 + 848. List the prime factors of r.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 p, and 1 e when three letters picked without replacement from {h: 3, q: 1, v: 1, p: 1, e: 3, j: 5}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2. Let d(l) = l**2. Suppose -5*s = -2*f - 3, -s + 4 = 3*f - 0*s. What is f*y(x) - 5*d(x)?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3941782 divided by -1970891?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1274.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-1 - 4) - (-1 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2153114 to the power of 1\/2, to the nearest integer?\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49003, 98070, 147145, 196228, 245319?\nAnswer: 294418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*24\/2430*-18.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -505 or -506?\nAnswer: -506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40162?\nAnswer: 2, 43, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 83*i**2 - 21 + 39 - 20 - 4*i. Is y(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.6 to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*f - 39*f - 59*f**2 + 61*f**2 - 904*f - 745*f to m*f + r*f**2 + b and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujuu when four letters picked without replacement from jjjkkkjjkjujjkuukuj.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2390)\/4302)\/(39\/162).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.6538 + 1.\nAnswer: -10.6538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Suppose -12 = -5*c + d*c. Let t(h) = 0*h**2 + h**2 - c*h**2. Let g(p) = -2*p**2. Calculate t(g(q)).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51.31 or -464?\nAnswer: -51.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 1626?\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.229979 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4773246631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 45*c - 297. Calculate h(-51).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 854713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 - 3*h**3 + 8*h**3 + (-3*h**2 + h**2 + 3*h**2)*(-2*h + 4*h - h) - 465*h**3 + 1130*h**3 - 247*h**3.\nAnswer: 425*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**3 - 2*u - 1. Let o be c(-1). Solve -22 = 4*p - g, o*p + 5*g + 5 = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 12*z + 129*z**2 - 2 + 4*z - 118*z**2.\nAnswer: 11*z**2 + 13*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -34563*f - 449327. What is y(-13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q - 2 = 0. Suppose 2*s - 3*s = q. Let i(y) = -y**3 - 6*y**2 - 5*y. Let k be i(-5). Put k, s, 1 in increasing order.\nAnswer: s, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5046*s**2 - 263*s - 8. List the prime factors of o(-3).\nAnswer: 5, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*h + 8*h + g, -h - 7 = g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 411, -1\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 - 4*x**2 - 2*x**2 - 5*x**2 + 0 + 4 + 9*x**2 as c*x**3 + r + w*x**2 + j*x and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Let o(r) = r**f - 2 + 2. Let j(n) = 1 + 4*n**2 - 1. Give o(j(s)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4 - 4 + 1 + 4*s + 35*s**2. Let y be x(5). Let f = y + -442. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 9. Solve d = i + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 6:49 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o - 0. Suppose c - o*c = 4*j - 10, -4*j + 4*c = -20. Suppose -5*v - 64 = -2*d, -6*d + 101 = -j*d - 5*v. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = 4*x - 5*n, 0 = 3439*x - 3431*x + 4*n - 28 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 12:20 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 6*j + 11. Let i be o(-9). What is the common denominator of (-5 - 84\/i) + 39\/(-4) and -127\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 at least as big as -32621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/54 and 139\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + -25. Suppose -4*i = l - 75. Calculate the highest common divisor of i and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 + -40. Suppose 5*s - 3*l - 102 = 0, 3*l - l = -3*s + 46. Let f = c - s. Calculate the remainder when 20 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - -4 - 36)*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26967306 to the power of 1\/2, to the nearest integer?\nAnswer: 5193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3621027 millilitres in litres?\nAnswer: 0.0003621027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sypqqyssyps. Give prob of sequence ysq.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-208))\/(14\/91)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t + 7. Let p be (10\/(-15))\/(3\/(-9)). Let s(x) = x + 65 - 66 - 4*x + p*x. Let r(c) = c**2 + 4*c + 1. Let v be r(-4). Calculate v*u(z) + 5*s(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 730 by 730.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000064791528 to six dps.\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 42*o**2 + 39*o. What is g(-41)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**4\/3 + 143218*w**3\/3 - 5127562421*w**2\/3 - 20514259948*w\/3 + 20512541284 = 0.\nAnswer: -6, 2, 71611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 0 + 0*i**2 + 1\/6*i**4 - 2\/3*i**3 + 3*i. Let k be z(-4). Calculate the highest common factor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -5*n**3\/6 - 5*n. Suppose -8 = -3*b - 2. Let r(m) = -5*m**2 + m**b + 6*m**2. Give z(r(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-913*y**3 + 19 - 19 + (3*y + 4*y - 6*y)*(5*y**2 - 2*y**2 - y**2)).\nAnswer: -2733*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*n + 21, -n - 4 = -y - 1. Let s = 4 - y. Let p be 5*2*3\/s. Solve -3*o = 3*t - 9, o = p*t - 12 - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rirn when four letters picked without replacement from {n: 1, i: 3, g: 2, v: 2, j: 4, r: 3}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + 10. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o + 8. Suppose y + 11 = 2*l + o, 0 = -2*l - y + 5. What is the second derivative of -l*j**4 - j**4 + 2*j**4 - 4*j + 12*j wrt j?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -2. Let j be 17\/(340\/(-48)) - (-2)\/5. Is b smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -3. Let z = -1 + i. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3725865 = 50*x + 291*x - 541750. What are the prime factors of x?\nAnswer: 5, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -186718, 1\/42, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 639*w**2 - 51087*w - 2649. Calculate c(80).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -0*f - 2*f. Suppose 2*t - 42 = 16. Calculate the remainder when t is divided by 2\/(-10) - f\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 119282*p**2\/7 + 119236*p\/7 - 46\/7 = 0. Calculate p.\nAnswer: -1, 23\/59641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 1:58 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -14. Which is the third smallest value? (a) q (b) -0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 0 + 0)*(43577 + 364*g - 43577) to the form a + f*g**2 + v*g and give f.\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.54 and 0.602.\nAnswer: 1.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(96)\/sqrt(4))\/(sqrt(1152) + (sqrt(1152) - (3*sqrt(1152) + sqrt(1152)) - sqrt(1152) - sqrt(1152)) + sqrt(1152) + sqrt(1152))*5.\nAnswer: 5*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13864056 and 1416?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 7 - 24*o + 10)*(-2 - 2 + 5).\nAnswer: -24*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*a - 527 - 284 - 805 = 0 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 11*k + 46. Let u be m(15). Let y be (3*-1)\/((-14)\/u). Calculate the common denominator of y\/6 + (231\/12 - -4) and 59\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s**2 + 2*s**2 + 0*s**2)*(-2*s - s + 5*s) + (3 - 9 - 7)*(-4 + 0 + 6)*(3*s**3 - 4*s**3 + 0*s**3) in the form u*s + f + g*s**2 + y*s**3 and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/2403680 and 37\/3652.\nAnswer: 26440480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(300)) + -5*sqrt(300)*-1 + -3 + (sqrt(27)*-2 + sqrt(3) + 1 + 0)*2.\nAnswer: 2 + 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1083*w**2 - 616*w**2 - 384*w**2.\nAnswer: -2083*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 240*r - 1125.\nAnswer: -3*(r + 5)*(r + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z. Let w(y) = 1425*y**2 - 4245*y**2 + 1434*y**2 - 3 + 1457*y**2. What is w(r(m))?\nAnswer: 71*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 1:52 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -49.764 - -0.4\nAnswer: -49.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 195.8 + -982.8. Let u = 790 + k. Sort 12, 2\/9, 2, u.\nAnswer: 2\/9, 2, u, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37740 divided by -717\nAnswer: 12580\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 118\/6*(1 - 3). Let h = f - -40. Let s be (-810)\/1215*5\/8*-2. Which is the nearest to h? (a) 5 (b) -11 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164179987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q - 6*q - 7*q in the form w + r*q and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o = 5*j + 100, -4*o + j = -495. Let y = o + 263. What are the prime factors of y?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*d + 176 = -332*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**2 + 1085512*f + 73646018884 = 0.\nAnswer: -135689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 42977*o + 331. Let v be y(-3). What is v rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51362802420 plus -23.4?\nAnswer: -51362802443.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3261302189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 3651604?\nAnswer: -3651601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 23*w + 69. Calculate the remainder when 357 is divided by u(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 27 + 53. Calculate the least common multiple of h and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*t = 8837 - 1142. Calculate the greatest common divisor of t and 6723.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110211 (base 3) to base 7.\nAnswer: -1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 3*y**2 + 5*y - 1. Let w be f(-2). What is the hundreds digit of (-672)\/w + (1 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 413 divide 520815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in 0.4, 2, -10.74?\nAnswer: -10.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -6*a + 229 + 72 - 7 + 6, 4*a - 196 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 62781158 divided by -11\nAnswer: -5707378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (63\/7 + -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -5\/3 (b) 4\/7 (c) 1 (d) -99 (e) -27\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 21*i**2 - 17. Let r(y) = y**3 - 32*y**2 + 24. Calculate -7*m(p) - 5*r(p).\nAnswer: 2*p**3 + 13*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b0b (base 13) in base 3?\nAnswer: -102121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 12*q = -4. What is the third derivative of 21*f**4 - 8*f**4 - 2*f**q - 9*f**4 wrt f?\nAnswer: 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 6 - (-105 - -118).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34947703 and 679329?\nAnswer: 314529327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 106.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41527 and 3.\nAnswer: 124581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 4 = 2*d. Suppose 94 - 19 = 5*x - 5*q, -d*x + 5*q = -49. Calculate the remainder when 40 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -1300\nAnswer: 1300.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -0.1. Let u = 0.5 - j. Let h be -3 - (3 - 1)\/2. Which is the second biggest value? (a) u (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 284799\/11 + -25891. Suppose 0 = j - 0*j + 5. Put j, -1\/7, s, 1\/2 in ascending order.\nAnswer: j, s, -1\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-9)*-3)\/((-4)\/14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20802 and 0.3.\nAnswer: -6240.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -34050650432.8 plus -0.07?\nAnswer: -34050650432.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 464.19 take away -950?\nAnswer: 1414.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 11*w + 9. Let i(v) be the third derivative of 0 + 0*v - 2\/3*v**3 - 5\/24*v**4 + 2*v**2. Suppose -4*d + 99 - 83 = 0. What is d*u(y) + 9*i(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*(39\/(-5))\/(516\/1720)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 12 = 31*i - 36*i, 4 = -i - 4*g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1258.5946 to the nearest integer.\nAnswer: -1259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -378, 1 in descending order.\nAnswer: 1, -21, -378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82314850?\nAnswer: 2, 5, 17, 113, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 247654528 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 338 - 336 + 682)*(-1 - 2 + 6).\nAnswer: 6*g + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -468 (b) -0.1 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1684 is divided by 1537.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.1 + 2.9. Let y = 17 - p. Let r = -21.6 - -24.6. What is the third smallest value in y, 5\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100549 (base 15) in base 14?\nAnswer: -15b265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2 - 6*c + c**3 - 4*c**2 + 1 + 12*c - c. What are the prime factors of p(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.8 - -13. Suppose 6*t + 5 = t. Which is the third smallest value? (a) t (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 378511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2*30\/5. What is the third derivative of 11 - 11 - y*k**4 - 5*k**2 wrt k?\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 - 8*h**2 + 4*h**2 + (2*h**2 + 3 - 3)*(-4 - 1 + 4) + h**2 + 0*h**2 + 0*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q - 3*q**2 + q**3 + 212 - 212. Let d = 10 + -7. Give p(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1980)*-6)\/(sqrt(15)\/(sqrt(12)\/sqrt(4))).\nAnswer: -36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3962*y**2. Let t(f) = 2*f**2. Determine a(t(r)).\nAnswer: 15848*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -18. Suppose 6*a - 36 = -r. Is 7 a factor of 180\/8 + a\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -18*b**2 - 15. Let a(n) = -7*n. Give r(a(o)).\nAnswer: -882*o**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 88*u**2 - 711*u - 15282. Determine h(76).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/6 and 65\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 3*j - 0*j - 12, -j - 6 = -n. Let o(f) = n - f - 5. Let a(r) = 20901*r - 10448*r - 10452*r. Give o(a(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**4\/24 + 2*b**3 + 6*b**2 + 2*b + 77. Suppose 5*p + 11 = 46. Let u be y(p). Solve 0 = u*o - 0 - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34901393257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -829\/30 - -139\/5. Let g = -3 - -3.2. Which is the closest to u? (a) 5 (b) 1\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 314018 divided by -132.\nAnswer: -157009\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1530 (base 15) to base 11\nAnswer: -3462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 3*k - 6*k**2 + 2*k**2.\nAnswer: -4*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - h + h**2 + 4*h**2 + 3*h**2 - 2*h**2 + 0*h**2 + (-h + 3 - 3)*(-2*h - 1 + 1))*(231 + 373 - 241)*(2 + 1 + 0) - 3*h + 3*h + 3*h**2.\nAnswer: 9804*h**2 - 1089*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/16 - (-3)\/(-4). Let l = -313\/973 + 5\/139. Which is the smallest value? (a) 2\/3 (b) l (c) 2 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**3 - 2*x**2 - x + 1. Suppose n = -n - 4. Let f be c(n). Solve 2*g = 2, 4*g = -4*s + 7*s + f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*x - 2*x + 22*x)*(9*x + 0*x - 12*x) to the form p*x + q + s*x**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -22*t**2. Let h(z) be the first derivative of -z**3\/3 - 11. Give h(p(j)).\nAnswer: -484*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -896*a**2 - 7203*a. Determine t(-8).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 s when four letters picked without replacement from {s: 12, x: 3}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 27*s**2 - 6*s - 162. Let y be i(-27). Solve y*l = -4*l - 3*o + 4, 20 = l - 4*o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 435671, 871338, 1307005, 1742672?\n\"Answer: 435667*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o - 62. Let u be a(-13). Solve -3*b - u = 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 732*g**3 - 7*g + 2. Let z be x(-2). What is z rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**5\/20 + 17*l**4\/12 - 61*l**3\/6 - 15*l**2\/2 + 2627*l. Determine z(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/2*8\/6. Let g(v) = -v**3 - 4*v**2 + 6*v - 4. List the prime factors of g(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2927, -2939, -2951?\n\"Answer: -12*y - 2915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -8*c - 22*c**2 + 12*c**2 + 16*c + c**3. What is the tens digit of k(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 630 and 32618320?\nAnswer: 293564880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1064*k + 982*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/10*(-32)\/(-8). Let p = 0.0178 - 2.0278. Let q = p - -0.01. Is q at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2 - 0. Suppose d - 6 = -y*l - 2, -5*d = -3*l + 6. Let o(z) = -z**2 + 0 + 3*z + 0 - 3. What is o(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 160410 + -179571.7. Let x = u - -19202.70034. Let l = x + -41. Round l to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*w + 66 + 114 = 0. Which is the second biggest value? (a) w (b) -0.1 (c) -2\/13 (d) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, -645, -11, 3, -1, -2, -5 in increasing order.\nAnswer: -645, -11, -5, -2, -1, 3, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (2 - 4) - (1 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -s - 0. Let t be (s\/3)\/((-3)\/(-6)). What is n in 2*n**2 + 3*n**4 + t*n**2 - 7*n**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8779126 is divided by 76339.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/63)\/((-28)\/62160*-20)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6193\/165 + 2\/(-10). Factor -m*n + 16\/3*n**2 + 196\/3.\nAnswer: 4*(2*n - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1883*z**3 + 1514*z**2 - 1 wrt z?\nAnswer: 11298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q - 10*q - 260 = 0 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 10. Suppose u = -k*u + 4. Suppose -u*f - f - 15 = 0. Sort -5, f, -4.\nAnswer: -5, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j = -8. Let r(p) = 0*p + p**j - 2 + 9 + 0*p**2 - 2*p. Is 15 a factor of r(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o + 5 = 0. Suppose o*y = 10, -3*y + 168 = -0*m - 3*m. Is (-410)\/(-18) - 12\/m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 11*t**2 - 12*t. Let k be p(12). Suppose 2 + k = i. Suppose 3*u + i*j - 150 = j, 6 = 2*j. Calculate the greatest common divisor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1211 (base 3) to base 8\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/21)\/h*h**(-5\/9)*h\/(h*h\/((h**(7\/6)*h)\/h))*h*h**(-15))**(-1\/36) assuming h is positive.\nAnswer: h**(1927\/4536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*p**2 + 1221*p - 1221*p + (3 + p - 3)*(-2*p + p - p) - 2*p**2 - 5*p**2 - 6*p**2 in the form l*p**2 + n*p + f and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1339 from -0.51.\nAnswer: 1338.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 k when four letters picked without replacement from qqak.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 11:12 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/2)*c*c**(1\/11)*c)\/((c\/(c**(-5\/2)*c)*c)\/c**(-8)) assuming c is positive.\nAnswer: c**(-98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -2*l + 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/((-21)\/(-5004)) + 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-15 + (17 - 14) - 11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 48?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -225 (base 8) to base 16\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-18 - -27))\/((-6)\/8) - 5.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -14*q + 6. Determine z(5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3780*t + 3793*t + 22 + 3796*t - 11368*t.\nAnswer: t + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from {i: 1, o: 8, k: 2, n: 2, w: 2, l: 5}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 13 (b) 0.28 (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/4614 and 19\/4614.\nAnswer: 4614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 14*k + 86. Let u be g(-15). Let y = u + 128. Solve 0 = -2*o + y*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652*w + 645*w = -2*i + 46, -i = w - 32 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - ((5 - 16) + 5) - (-1 + -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*i**3 - 8*i**2*j + 315*i*j + 16*i - 207243*j wrt i.\nAnswer: -9*i**2 - 16*i*j + 315*j + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.4 (c) 0 (d) -4 (e) 11 (f) -206\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - a + 1. Let o be t(0). Let r = -2 - o. Let f(v) = -2*v**2 - 3*v**2 + 3 + 4*v**2. Calculate f(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q + 2. Suppose 3*m = 7*m - 4. Suppose -52 = 14*y - 24. Let t(n) be the first derivative of n**2\/2 + 32. What is m*z(i) + y*t(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**5\/60 - a**4\/24 + a**3\/6 - 2*a**2. Let n(z) = 2*z**2 - 8*z + 2. Let u(o) = 4*k(o) - n(o). Let u(d) = 0. What is d?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1782, 1785, 1790, 1797, 1806, 1817, 1830?\nAnswer: 1845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -334224?\nAnswer: -1\/334224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*x - 24*x - 17*x.\nAnswer: -82*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11481053 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 428531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + sqrt(117) - ((4*3*sqrt(117))**2 - sqrt(117))) + (((sqrt(13) + sqrt(208))*6 + -2)**2 - (1 + -5*sqrt(52)\/sqrt(4))).\nAnswer: -5141 - 109*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**2 + 1301765*o + 154980840 = 0 for o.\nAnswer: -119, 260472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkkjjbjhjz. What is prob of sequence bzj?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**4 + 0*f + 3 - 1 + f + 3*f**4 to g*f**2 + p + q*f + r*f**4 + k*f**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 7 - 8 = 0. Suppose b*z + 1 = 10. Differentiate -z*u**2 + 2 + 2*u**2 + 0 with respect to u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**4 + 27*o**3 + 43*o**2 + 27*o + 8. Let x(y) = 2*y**4 + 14*y**3 + 22*y**2 + 14*y + 4. Let t(k) = 2*l(k) - 5*x(k). Find r such that t(r) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010176 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 2*q. Let c be n(-2). Let a = 7 + c. Calculate the least common multiple of 6 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 w, and 1 r when three letters picked without replacement from {e: 1, u: 1, w: 5, m: 3, r: 4}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-12)*s*s**8*s*s*s\/(s*s*s**4)*s**(-7))**(-1\/9) assuming s is positive.\nAnswer: s**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/80 + 21\/(-10). Let y(d) = -40*d**3 - 3*d**2 - 5*d - 1. Is y(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 9:11 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 6. Let c(p) = -4*p - 11. Let j(h) = 6*c(h) - 11*v(h). Let d(g) = -10*g**2. Calculate d(j(q)).\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.7 + 3. Let a = 5 - 4. Put a, z, 4\/3 in ascending order.\nAnswer: z, a, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*t - 83*t + 60*t.\nAnswer: -69*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d + 57*d = 22*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*v - 2*a + 29, -35 = -4*v - a. Let b(s) = s**2 - 9*s + 7. Let z be b(v). Is (-5 + 84)*(-1)\/z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18469275 divided by 305?\nAnswer: -60555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2*(12\/3)\/(-8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 + 2*v - 11*v**3 - 5 - 9*v**3 + 16*v**3. Let q(o) = o**3 + 1. Let w(u) = 4*m(u) + 20*q(u). Factor w(c).\nAnswer: 4*c*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 15*g**2 + 15. Let y be n(15). Let z(b) = 23*b - 7. List the prime factors of z(y).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21303 - 9420. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*k - 7. Suppose -k*u = u. Solve -4*d - 3*y - 4 = y, u = 3*d + 5*y + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**5 + 4242*m**3 - 4*m**2 + 74100*m wrt m?\nAnswer: -20*m**3 + 25452*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**2 - 21*m**2 + 45*m**2 - 5*m - 10*m**2.\nAnswer: 5*m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*d - 9*d + 88 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*w + 691*w + 8618 = -30202 for w.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(99) + sqrt(11)) - sqrt(16))\/(sqrt(8) + sqrt(32)*5) + 2 + 0.\nAnswer: -3*sqrt(2)\/44 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 61. Let w(k) = -k**2 - 15*k + 3. Let u be w(-9). Let q = h + u. What is the highest common factor of q and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11021686 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 2 - 2)*(2 + 6 - 4).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as -22921\/9234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -22*q - 746. Let x be l(-34). Let p(n) be the second derivative of -9*n - 1\/12*n**4 + 1\/2*n**x - 1\/3*n**3 + 0 + 1\/20*n**5. What is p(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12324104211 (base 5) in base 6?\nAnswer: -1254530501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86294 is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 4*n - 5. Let g be p(5). Let m be g + 5 + -1 + 4. Let b(l) = 53*l + 374. Let j be b(-7). Which is greater: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 29*v**2 - 33*v - 91. Let k(j) = 858*j - 4320. Let d be k(5). What is a(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/((v\/(v\/(v*v**(-11\/3))*v*v))\/v)*v))**(4\/5)\/(v\/(v**8*v))**(1\/18))**25 assuming v is positive.\nAnswer: v**(-1280\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-105)\/(-33) - 18\/6. Let l = 0.0169 - -8.9831. Which is the nearest to -1? (a) l (b) x (c) -2\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-63)\/35)*(-6)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12210 by -222.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31803389?\nAnswer: 31803389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v**3 - 2*v - 7 + v - 4*v. Let d(g) = -5*g**3 - 4*g - 6. Let b = -11 + 6. Let y(r) = b*d(r) + 4*p(r). Differentiate y(q) wrt q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 - 24?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (169 - 176)*(3 - (0 + 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42169 - 14059 - 30*n**3 - 14054 - 14056.\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 2*p + p)*(67*p**3 - 30*p**3 - 106*p**2 - 38*p**3) to t*p**3 + d*p**4 + q*p + n*p**2 + f and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1464 by -5.\nAnswer: 1464\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 130 = 20. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-232)\/160)\/29)\/(-10*36\/75)?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-81)*(-63)\/14?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4468 in -4, 9, -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -305 + 304.7. Which is the third smallest value? (a) 3\/2 (b) -38 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(102) + sqrt(102)) + sqrt(102) - (sqrt(102) - 6*(sqrt(102)*2 + sqrt(102))))\/((sqrt(30) - (sqrt(2430) + -2*sqrt(2430)))\/sqrt(5)).\nAnswer: 14*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36171 is divided by 64?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2695 + -2710. What is the nearest to 0.08 in o, 0.1, -2, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -3, 57, -55, -11, -23 in increasing order.\nAnswer: -55, -23, -11, -3, 1, 2, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 2:01 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 257899 and 56065.\nAnswer: 1289495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 106 = 3*y, -29 = -3*r - y + 249. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 281 = 3*a - 5*b, 3*a + 4*b + 387 = 0. Let r be (14\/49)\/((-1)\/a). Let c = r + -33. What is the remainder when 6 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 149, 587, 1313, 2327, 3629, 5219, 7097?\n\"Answer: 144*h**2 + 6*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i + 4. Calculate x(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + l + 59. Let a be q(-7). What is the third derivative of -45 + 1 - 55*g**3 - 14*g**3 - 87*g**a - 37*g**3 + g**2 wrt g?\nAnswer: -1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 2657*z**2 + 571363*z - 1647. What is t(236)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 37584 - 15555. Let l = -44 + 53. Suppose -2114 = l*j - n. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**4\/5 + 139889*u**3\/5 + 139887*u**2\/5 - 139889*u\/5 - 139888\/5 = 0 for u.\nAnswer: -139888, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*j = 36, -5*j - 23 = -4*u - 65. Let q(m) = -m**3 + 3*m**2 - 2*m - 3. Let h(x) = 2*x**3 - 2*x**2 + x + 2. Determine u*h(p) - 2*q(p).\nAnswer: -4*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45.4616 + -41.49. Let k = -0.0284 - z. Are -7 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4513 is divided by 2254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/699618 and -13\/459.\nAnswer: 6296562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 13*j - 141 = 0. Let k = 56 - j. What is the highest common factor of k and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3 + (-3 - 3 + 5)*(5 - 4 - 3) + 3 + 0 - 2 - 2 - 4 + 5)*(3 + 26*b + 29*b - 67*b).\nAnswer: -48*b + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, z: 2}. Give prob of sequence iz.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165562491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - u = x + 5, -x = 4*u + 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 36*v + 111. Let c(n) = n**2 - 35*n + 112. Let x(l) = -7*c(l) + 6*s(l). What is the tens digit of x(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-40)\/12)\/(-5))\/(-7*44\/1386).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300*y**3 - 476*y**2 - 840*y - 64 = 0. What is y?\nAnswer: -1, -2\/25, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 1) + 0 + -205 + 213 - -13. Put -5, 7, n in descending order.\nAnswer: n, 7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4961\/4 (b) -0.3 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820 greater than or equal to 2820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -151 + 151. Solve v = -14*w + 15*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - p + 8. Suppose 4*k = p, -3*r - 2*r = 3*k - 136. Suppose i + 0*i + 4 = 0, -2*u + 122 = 2*i. What is the highest common factor of r and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 9, 0.55?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10111000110202 + -101?\nAnswer: -10111000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 2, 1, -50552 in increasing order.\nAnswer: -50552, 1, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-114 + (-15 - -35)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -23*n - 70. Let j be -4*(-5)\/(-10)*6\/4. Let l be w(j). Which is smaller: l or -4\/247?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091 a factor of 17403393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5914974014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -5\/4, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 359*c + 0 - 4 + 119*c to the form q + m*c and give m.\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/1 - (5 - 12). Solve w = -c*w + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4006*a - 3948*a + 1218 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 8*t + 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5200 is divided by 196.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -97*d + 545. Calculate t(-9).\nAnswer: 1418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(147) - (0 + sqrt(147) + sqrt(147) + 1)))**2.\nAnswer: 504*sqrt(3) + 5328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*n + 9*n + 11*n - 55 as y*n + p and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*a + 2*x + 9, -5*a + 8 = -2*x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 + -0.04. Let l = g + 0.02. What is the closest to l in -2\/7, 1\/3, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -f - 15, -2*y = 3*f - 13 - 10. Calculate the least common multiple of 40 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3.9. Let c = -1.14 + i. Let o = c + 0.23931. What is o rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265430*y = -265452*y + 550 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqhhdhvvfvdddvzf. Give prob of picking 1 z and 1 q.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3 = -5*s. Let k(z) = -5 + 4 - 9*z**2 - 11*z**2 - z + 17*z**2 + 2. What is k(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 11*a = -2*p + 449935, 5*a - 5*p - 2249630 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*f - 7*f + 11*f)*(-1 + 1 + 2*f) - 9 + 5 + 3*f + f + 2*f**2.\nAnswer: 32*f**2 + 4*f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 527427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6 = 2*n - 4, -2*a + 21 = 5*n. Solve -x = 2*v - 9, 2*x = -6 + a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3 - 17\/(-2))*1 and ((-10)\/(-14))\/((-18)\/(-21))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*n + 50 - 17 - 250 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4035032 and 0.5.\nAnswer: 2017516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -185, -356, -527, -698?\n\"Answer: -171*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-5)*s**(-1\/6))\/s**(-20)*(s**(3\/2)\/s)\/(s*s\/(s*(s*s\/(s*(s*(s**(-1\/2)*s)\/s)\/s)*s)\/s))*s**(-33) assuming s is positive.\nAnswer: s**(-97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u**(-1\/10)*u))\/u*u**(2\/3)*u*u\/(u*(u**(2\/11)\/u)\/u*u*u)*u*u**3)**(-8\/7))**(1\/65) assuming u is positive.\nAnswer: u**(-7372\/75075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/5442554 and 31\/52.\nAnswer: 10885108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1980, 1978, 1976, 1974, 1972, 1970?\n\"Answer: -2*p + 1982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + b + 5*l - 19, 2*l - 14 = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1872) - -4*sqrt(1872)))**2 - sqrt(1872).\nAnswer: -12*sqrt(13) + 187200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z - 12640 = -46*z. Let x = z - 938. What are the prime factors of x?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5995676 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98455134, 98455129, 98455122, 98455113, 98455102?\nAnswer: 98455089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3*v = 10 + 15, -5*v = 3*l + 40 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69.134 - 69. Is -1 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 0*n**2 + 5\/12*n**4 + 1\/3*n**3 + 2*n + 0. Find the second derivative of u(b) wrt b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1362, 1382, 1436, 1542, 1718, 1982, 2352, 2846?\nAnswer: 3482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 248514 + -497023\/2. Suppose -2*d + 4*d**2 + r*d**3 + 0 = 0. What is d?\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - l)*(17 + 22 - 17).\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1290 and 280145?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 + 57*u**2 - 22*u - 186. Determine y(28).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20112212 (base 3) in base 2?\nAnswer: -1001010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*y + 13*y = -426 - 443 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2289117767?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d1 (base 14) in base 5?\nAnswer: 3004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 154577658545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.122 - -0.362. Round y to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 159 and 10287.\nAnswer: 545211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11\/4, 5, -0.4, 0.3, 0.2, 159?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*n - 4 = 0, 18*n = -o - 141 + 89. Factor -g**o - 5\/2*g**3 - 1\/2*g**5 - 2*g**4 + 0 + 0*g.\nAnswer: -g**2*(g + 1)**2*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31\/2 of a gram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**6\/24 + 23*h**4\/24 + 523*h**3\/6 + 77*h**2 + h. What is the derivative of z(p) wrt p?\nAnswer: 15*p**2 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-135) - (-46)\/45?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5486?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - x - 2*x - 9 + 9 - 12*x + (x - 3*x + x)*(3 - 4 - 3))*(-28*x + 52 - 52).\nAnswer: 140*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1563*v**2 - 759*v**2 - 773*v**2.\nAnswer: 31*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2864 * 2349.1.\nAnswer: -6727822.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 255246138 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -l + 177, 4*l - 61 = 2*g - 1. Let t = 1 - g. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406 + 432 = -13*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 448, 593, 996, 1783, 3080, 5013, 7708, 11291?\n\"Answer: 21*b**3 + 3*b**2 - 11*b + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(684)\/(sqrt(36)\/sqrt(3)))\/sqrt(3) + -6*(-1 + sqrt(304)))*-5)**2.\nAnswer: -6900*sqrt(19) + 252175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z - 50 = 0. Suppose 3*x - 91 + z = 3*d, 5*x = 4*d + 115. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 847 and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 7 = -a + 6*a, 1 = p - 3*a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 7:56 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -743\/10 + 16777\/90. Let m = a - 112. What is the common denominator of m and -49\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*a**3 + 2 + 2*a**3 - 80*a**2 + 80*a**2 + 2 - 2*a**3 - 2 + (-4*a + 0*a + 2*a)*(-2*a - 3*a**2 + 2*a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**6\/120 + 2*x**5\/15 + 3*x**4\/8 + 3*x**3\/2 + 4*x**2 + 6*x. Let i(u) be the first derivative of a(u). Calculate i(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egeiiigg. Give prob of picking 2 e and 1 g.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124139 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(52) + -5)*-6)**2.\nAnswer: -1152*sqrt(13) + 4176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/22 and -31\/208408078.\nAnswer: 2292488858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -b + 12, -f + 0 = -4*b + 3. Suppose 25*v - 23*v + 3*s - 639 = b, -v + 318 = 2*s. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -37. Let c = u - 5. Suppose 5*n - c = 36. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 141 = -2*z, 5*x - 136 = -5*z + 14. Let p = -8 + 9. Calculate the greatest common factor of p and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 600*a**2*u**3 + 21*a**2*u + 8*a**2*w + 2*a**2 + 2*a*u**3 + 14*a*u**2 + 3*u**3*w - 9*u**3 - 2*w wrt u?\nAnswer: 3600*a**2 + 12*a + 18*w - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/36*(-4)\/(-2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 11*f + 210. Let c(q) = q**2 + 18*q + 34. Let o be c(f). Solve 3*m = -l + o*l - 14, 0 = 5*l + 2*m - 19 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*s - 3*o + 19, -4*o = 4*s + 64. What is the nearest to 0 in s, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**3 + 7*d**2 + 7*d - 135. Let a(f) = 2*f**3 + 2*f**2 + 3*f - 67. Let m(p) = -7*a(p) + 3*z(p). Let c be m(-8). Solve c = y - 10 + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 9412589?\nAnswer: -9412589.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0 - 0)*(-7 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*u + 11*u**3 - 63*u + 1 - 3*u**2 + 2*u**4 to f + r*u**3 + w*u**2 + b*u + v*u**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -3, -13 in decreasing order.\nAnswer: -2, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*x**2 - 12 + 12)*(4 + 3 - 3).\nAnswer: 56*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 145 + -140. Let q(u) = 7*u**2 + 8*u - 11. Let m(t) = 3*t**2 + 4*t - 5. Let f(d) = 9*m(d) - 4*q(d). What is f(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83288201*z**2 + 75*z + 701411 wrt z?\nAnswer: 166576402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12100112 (base 3) to base 12\nAnswer: -2312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, -21, -43, -61, -69?\n\"Answer: b**3 - 7*b**2 - 6*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l - 73. What is w(12)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -31519.52 rounded to the nearest 100?\nAnswer: -31500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2816, -5173, -7514, -9833, -12124, -14381?\n\"Answer: u**3 + 2*u**2 - 2370*u - 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 666802687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 9, -1\/2, -4, -429 in decreasing order.\nAnswer: 9, -1\/2, -4, -28, -429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21862, 87442, 196734, 349732, 546430?\nAnswer: 786822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -772 - -345. Let s = i - -450.3. What is s rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -5, -4, 23\/6, -1, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*l + 108 - 118 = 0, -2*g + 20 = 4*l. Solve -w = -6*w - u - 9, g = -3*w - u - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1395535 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2042, 2043, 2046, 2051?\nAnswer: 2058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 7. Let v(z) = 12 - z - z + 1. Let y(s) = 5*q(s) - 2*v(s). Let f be y(6). Let j(x) = -x**3 + 2*x**2 + 5*x - 2. What is j(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -480.1 + 503. Let j = -22 + t. Let o = j - 0.6. What is the smallest value in -1, 5, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*q + 2 = 0, -1 = -2*k + 2*q - q. Let g(x) = -6*x + 1 + x + k. List the prime factors of g(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-3 + (2 - -2)). Solve d = -5*l - 24 - 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (73\/(-3))\/((-70)\/21) and -13\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64 + (-1 - 0) - (15 - -3 - (124 + -111))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - -2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 143885160.\nAnswer: -14388516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 11:34 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5*l + 5 = 0, 83*l - 38*l + 5 = -5*j + 42*l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/5784 and 63\/99460.\nAnswer: 143819160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**6\/60 + f**5\/4 + 25*f**4\/24 - 5*f**3\/6 - 6*f**2 - 2*f - 4. What is b in v(b) = 0?\nAnswer: -2, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -311842 divided by 5?\nAnswer: -311842\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (7 + -1 + -10 + -1 + 1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - -13 - 45) + (-1 - 20).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 54698490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2216 = 40. Let l = s - -971. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 0*y = u, -u + 8*y - 3*y = 3*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2573936804?\nAnswer: 2, 821, 783781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -2\/3 (c) -0.4 (d) 0.11237\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/887 or 0?\nAnswer: -4\/887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 q when three letters picked without replacement from qahhahhha?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3663450 divided by 34890\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**(1\/14)\/l)\/l)**0\/(l**(-2\/5)*l**(2\/5)\/l) assuming l is positive.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75985 is divided by 75981?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -459\/5*y**2 + 0*y + 3\/5*y**3 + 0.\nAnswer: 3*y**2*(y - 153)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*x + 511*x - 774*x = -728 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + h**2 - 2*h + 3. Let f be p(0). Solve -3*g = -f - 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + -2 + 8 + -1. Suppose 3*l - 2 = g - 0, l = f*g - 6. Let z = 2 + 2. Calculate the greatest common divisor of z and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**3 - 101*w - 31. Let n(x) = -x**3 - 34*x - 9. Calculate -4*b(r) + 14*n(r).\nAnswer: -2*r**3 - 72*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**5\/5 - 5*q**3\/6 + 69*q**2. Let f(k) = 35*k**2 + 14. Determine 14*c(j) + 5*f(j).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88802762 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 43*k**4\/24 + 5*k**3\/6 + k**2 - 8. What are the prime factors of g(4)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-80)\/(-70))\/(12\/14). What is the nearest to 2\/7 in p, -1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 3:08 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 1 - 0. Let o be (2\/4)\/(t\/(-20))*1. Suppose 5*d = o, 0 = v + d + d - 9. Solve -q = -5*p + 25 - 1, -v*p = -3*q - 32 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90664 is divided by 45232?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*v + 24995 = -107*v. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 + 5*o + 3. Let z(g) be the second derivative of -g**3 + 11*g**2 + 21*g. Let t be z(3). Calculate x(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/30 - 172\/6. Let q = z - -39. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 560. Let m(n) = -32532 + 6*n + 16270 + 16262. Give h(m(q)).\nAnswer: -6*q - 560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 2*o + 3. Let k be (-2)\/(-4) - (-1)\/2. Let j = k + -4. Let l(s) = -s**3 + 3*s - 4. Give j*c(r) - 2*l(r).\nAnswer: -r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 740903, 1481848, 2222833, 2963858, 3704923?\nAnswer: 4446028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7180000 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -29*c**2 + 1329*c + 237. Give l(46).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 3 + (-4 + 4 - 1)*(0 - 3 + 2))*(-g**3 - 207 - 22*g + 207).\nAnswer: 3*g**3 + 66*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -3, 3, -42, 5\/6 in descending order.\nAnswer: 3, 5\/6, -1\/3, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 32. Suppose 3 - t = -3*f. Let r be (9 - -1)*(-6)\/(-10). What is the highest common factor of f and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151840 by -4.\nAnswer: 37960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a64 - -4b?\nAnswer: -3a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 4*t - 3*t + (-2 + 1 - 1)*(-t + 4*t - 4*t) + 3*t - 5*t + 0*t - 7*t + 5*t - 4 + 2.\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 i when three letters picked without replacement from ijddjf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 25*h**2 + 14*h - 100. Suppose 11*p - 86 = -350. What are the prime factors of a(p)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (3 - -373)\/(-2). Is (u\/(-2))\/((-1)\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 - 3 - (5 + -3). Suppose 2*s - 8 = 2*f, 3*f - d*s = 4*f - 16. Solve -3*h + f*h = -15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 15 = 0, x - 3*x + 14 = 2*g. Solve -j - g - 3 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/100*4\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1865.0717 to one decimal place.\nAnswer: 1865.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.597 - -6.597. Suppose 14*p = 12*p. Suppose 5*f + 20 = f. Put f, i, p in descending order.\nAnswer: i, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuttttttutu. What is prob of picking 3 u and 1 t?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 95847 + 4*f**2 - 6*f**2 + f - 95847. Let l(k) = -4*k**2. Determine l(w(z)).\nAnswer: -16*z**4 + 16*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggsvvvvsvtvvsvmvm. What is prob of sequence vmms?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16892 and 2?\nAnswer: 16892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 165084839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 168, 249, 332?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3997 + -3813. Calculate the remainder when 328 is divided by p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1615 + -363.1215. Round y to the nearest ten.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 2*r - 25*r**3 - 28 - 4*r**2 + 19 + 21 as b*r**2 + n*r + f*r**3 + y and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (114\/20)\/(1084\/(-10840))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (38 + -6 - 34) + (7 - -1). Let l(h) = -h + 2. Let k be l(8). Let m = -3 - k. Solve 2*b = -g, 4*b = m*t - 29 + 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 12*i. Let f(z) = -111*z**2 - z. Determine f(y(g)).\nAnswer: -15984*g**2 - 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 - 86*y**2 - 75*y + 66. Let k be b(44). Let q = 320 - k. Which is bigger: -316 or q?\nAnswer: -316","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66304*w**2 + 10001*w**2 - 29674*w**2.\nAnswer: -85977*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -r - 9, -3*v = v + 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k + 2 = -152 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 546 and 28470.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 4*v**2 + 2*v - 6. Let u be f(4). Let b(d) = 3*d - 7*d - d - u*d. Let o(n) = 2*n. Give b(o(w)).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -1\/6, -8, 51?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59128 - 40954. Suppose -2*c - 4*s = -9062, -4*c - s = -3*s - m. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 - (4416\/(-176) - -16). Let b = -1 - -5. Suppose c = b*c. Which is bigger: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.03 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1453352, 2906692, 4360032?\nAnswer: 5813372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 315 - 328. Let p(l) = l**3 + 13*l**2 - 5*l - 9. Suppose -2*n = -3*w + 6*w - 80, -2*n = -3*w + 100. What is the remainder when p(x) is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**3\/3 - 4201*v**2 - 132573*v - 98642\/3 = 0?\nAnswer: -31, -1\/4, 3182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1008) + sqrt(1008) - sqrt(1008))*-2 + 4)**2.\nAnswer: 96*sqrt(7) + 4036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 413 = -3*s + 4*x, -5*s + 5*x = -395. Is s a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -17*u**2 + 4*u - 5. Let q be t(5). Let v = -4516\/11 - q. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/22 and 28\/99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 l when four letters picked without replacement from yyyyyyyylllyly.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(30\/(-4))*140\/(-42).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -6*a + 2*u + 30, -u = -2*a + 12. Let w(n) = -n + 3*n + 3 + 10. Is 7 a factor of w(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 55 - 32 + 14 + 4*d**2 - 84 + 13.\nAnswer: 4*d**2 - 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/5, 64, 2, 1, 0.1 in descending order.\nAnswer: 64, 2, 1, 0.1, -14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 257424*t + 2316819. Calculate w(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47415821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and (24 + -25)*(1 + 1) + 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2 = 1. Let n(f) = 0 + 6 - l - f - 3. Determine n(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 45*v**2 + 145\/3*v**3 + 15*v**4 + 0*v + v**5 - 198. Factor n(y).\nAnswer: 5*y*(y + 1)*(y + 2)*(y + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -18. Suppose -y*x + 2 - 10 = 0. Let l = 26 + x. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1348614 and 21?\nAnswer: 9440298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 0*i + 0*i**3 + 1\/6*i**4 + 0 + 1\/60*i**5 - i**2. What is o(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -65*u**3 - 25*u**2 - 25. Let g(x) be the first derivative of 4*x**4 + 2*x**3 + 6*x + 1621. Determine -25*g(v) - 6*y(v).\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(17) + sqrt(119)\/(sqrt(7)*3) + -6*(sqrt(68) + sqrt(17)))**2 + -3.\nAnswer: 42455\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 16*x**3 - 3*x**2 - x + 4. Suppose 14*j - 5 = 23. Calculate the remainder when y(j) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 877773664 to the power of 1\/2, to the nearest integer?\nAnswer: 29627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + x = -12, 0 = -5*u + x - 10 - 80 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 217 + 3*d**2 + 218 - 166*d**3.\nAnswer: -166*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, 240, 2, 4, 0, 1 in descending order.\nAnswer: 240, 4, 2, 1, 0, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, n: 13}. Give prob of picking 2 b.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 115778 = -0*o - 4*o, -173673 = -3*x - 4*o. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 36*m - 4. Let r(z) = z - 1. Let p(o) = -b(o) + 4*r(o). Let f(n) = 4*n**2 - 5*n**2 + 3*n**2 - 3*n**2. Determine p(f(g)).\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1055 + 7387\/7. Factor o*y**2 - 4\/7*y + 0.\nAnswer: 2*y*(y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -5 (b) -0.2 (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-112)\/(-52) - (-2)\/(-13). Suppose 5*r = -4 - 1, 5*r = -z*m + 49. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -4*x - 143501, -278*x = 2*z - 283*x - 41035. What is the thousands digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3*(sqrt(95) - (sqrt(95) + (sqrt(95)*2 - sqrt(95)))) + sqrt(95))\/(sqrt(320) + (sqrt(320) - (sqrt(320) + sqrt(320)*-5))) + 5).\nAnswer: -sqrt(19)\/12 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*s**2 - 54*s**2 - 8*s**3)*(0*s - 4*s**2 + 0*s).\nAnswer: 32*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 11:00 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*h + 12*h - 1 - h**2 - 29*h)*(-1 - 1 + 0 + 1 - 3 - 2 + (1 - 4 + 1)*(4 - 3 + 0)) to r*h + s + g*h**2 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z + 18*z**4 + 34*z**4 + 2*z**2 - 45*z**4 + 4*z**3 - 3*z**3 as q*z**3 + w*z**2 + o + u*z + a*z**4 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*h + 210687 = 211897 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*n**3 - 14*n + 7*n + 8*n - 13*n**3 as p*n + r*n**2 + h + z*n**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.1 - 3.07. Let k = d + -0.41. Let z = k - -10.38. What is the closest to 1 in 5, z, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven halves of a year?\nAnswer: 222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (282\/752)\/((-25)\/2400).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -7. Put b, 1, 2 in increasing order.\nAnswer: b, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*v - 48*v - 21*v**3 + 25*v**3 + 0*v**4 - 2*v**4 - 119*v to the form b*v + g*v**4 + z*v**3 + h*v**2 + l and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 8:29 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 448500 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-6)\/16)\/(-15*(-4)\/1520)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 68687, 137604, 206521, 275438, 344355?\n\"Answer: 68917*f - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 = 0, -2*s - 2*s = 4*b + 23004. Let w = 6244 - s. Round w to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 + 594. Suppose -3*h + 7*h = l. Does 18 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2.3 (b) 0 (c) -0.4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 11.795\nAnswer: -16.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from zihiziizhiziih?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728565313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-16))\/(214\/5136)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417.6973 centuries in millennia?\nAnswer: 41.76973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (174228\/32)\/(6\/8)*200. Round o to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13663844?\nAnswer: 2, 3415961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y**3\/15 - 58*y**2\/15 - 38*y\/15 - 2\/5 = 0 for y.\nAnswer: -1, -3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**4 + 231*p**3 + 720*p**2 + 12*p - 960 = 0.\nAnswer: -2, 1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 7:05 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 68757 divided by -123?\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-6)*-2*2. Suppose -4*u + 3*w = -121, -160 = -5*u - q*w + 4*w. Suppose -3*n + u - 1 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/70 and (61\/(-2989))\/(10\/11).\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 29\/2 + (-1)\/(-2). Let p be (y\/(-6) + 1)*-2. Let j(d) be the first derivative of 2*d**3\/3 - 3*d**2\/2 - 4*d - 1. What is j(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 5. Let u be d(-4). Let r be ((-2)\/16)\/(u\/172). Let m = r + 5\/2. Is -1\/4 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108008 - 31*l**3 - 85*l**3 - 108008.\nAnswer: -116*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -40 + (-18 - (14 + -57))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9104 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*s - 5462 = 36*s + 5*k, 5*s + 5*k = 27250. Suppose -s = 11*p - 19697. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 2:31 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -1430, -4, 3, 5 in decreasing order.\nAnswer: 5, 3, -2\/19, -4, -1430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 335000 to the power of 1\/2, to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**0\/m)\/m)\/m)**(-26)\/(m*m**(-1\/2)\/m*m**(-1\/3)))\/(m**(-1\/6)*m*m*(m**(3\/5)\/m)\/m*m**(-1)*m*m**(-5)) assuming m is positive.\nAnswer: m**(417\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1.77*-3\nAnswer: 5.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/25, 0.3, 9, 123, 2 in ascending order.\nAnswer: -3, 2\/25, 0.3, 2, 9, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**5\/5 + 302*m**4\/5 + 8898*m**3\/5 + 52594*m**2\/5 - 1780*m - 52896\/5 = 0.\nAnswer: -114, -29, -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3071 (b) 1\/3 (c) 2\/11 (d) 1 (e) -0.1 (f) -3\/5 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-3) + 0 + (-14)\/(-77).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*f)*(-1 + 3 - 4) + 2 - 2 + f + 4 - 4 + 3*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1536 and 136968192?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 2276.\nAnswer: 20484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 18*g - 40. What is f(-22)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 0 - 1\/6*0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423*z + 90*z - 3663 = 0. Let i(y) = y**3 + 12*y**2 + 12*y - 4. Determine i(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -185.1 - -187.902. Round q to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*k + 4 = -21, 5*t - 5*k = 25. Suppose 2*l - 4*v = 0, v = -2*l - 0*v. Solve -q - t = -l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*v + 28*v**2 - 10 - 20 + 57.\nAnswer: 28*v**2 - 26*v + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 47c8 (base 16) to base 8\nAnswer: 43710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1371.\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1662\/11 (c) 99 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 12. Factor -2*n - 4*n**4 + 2 + 12*n**k - 4*n**2 + 0*n**2 - 2*n**2 - 2*n**3.\nAnswer: -2*(n - 1)**3*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 + -404.275.\nAnswer: -444.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 21\/181, 4\/2031 in descending order.\nAnswer: 7, 21\/181, 4\/2031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**4 - 9*m**3 + 27*m**2 - 15*m = 0 for m.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4745*l = 4594*l - 8914*l + 39100 for l.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h - 10. Let o be y(8). Suppose -o*v - 1 = -7*v. Is -1\/20 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2211 (base 13) in base 8?\nAnswer: -11212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1658 divided by 9\nAnswer: -1658\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-342)\/396*(-28)\/133\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 33 = -2*w + 6, -5*z + w + 90 = 6*w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*a - 3032, -54*a = -3*w - 49*a + 1816. What is the smallest common multiple of 13 and w?\nAnswer: 7891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 7*f. Let i(m) be the first derivative of -m**5\/60 - 5*m**2\/2 - 12*m + 20. Let v(k) be the second derivative of i(k). Determine y(v(j)).\nAnswer: -j**4 - 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -175 or -208?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4759161193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/4087584 and 17\/2565.\nAnswer: 20437920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*m**2 - 2 + 2*m + 11*m + 1 - 5 to w*m**2 + b*m + u and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -134*c**3*l**2 - 306*c**3*l + 3*c**2 - 1281*c*l**2 wrt c.\nAnswer: -804*l**2 - 1836*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*5\/(5\/(-8)). Find the common denominator of -95\/14 and ((-306)\/(-81))\/(m\/30).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15620507 is divided by 2728?\nAnswer: 2707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1117 + 72*a + 45*a - 1117 - 24*a.\nAnswer: 93*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -2*z**5\/45 - 2*z**4\/3 - 4*z**3 - 12*z**2 - 18*z - 6. Factor t(o).\nAnswer: -2*(o + 3)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3*a + 57, a = -4*g + 136 - 43. Which is smaller: g or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1897445?\nAnswer: 5, 11, 34499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 + 66. Let d = 37 - 26. What is the remainder when u is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1 + 4 + 52*m**2 + 47*m**2 - 1 to the form h*m**2 + n + w*m and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 422963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.4, 0.1, 13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (246\/(-902))\/((-17)\/(-51))?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14047381?\nAnswer: 14047381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 12*m**2 + 4*m - 223. What is a(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535*g = 5*i - 538*g + 27, 4*i - 2*g = -20 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26074388?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/3, -4\/16665 in decreasing order.\nAnswer: 1\/3, -4\/16665, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.9 + 16. Is -0.9 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 100 - 20 = 0. Calculate the remainder when 78 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799673 is divided by 818.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5571896*f**2 - 2153692*f?\nAnswer: 11143792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*f - 2213 + 58149. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -66) + (-9 + (-6 - -10) - -10 - 11).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 40 = 8*r. Suppose -4 + 20 = r*n. Let p be (n\/(-18))\/((-16)\/(-12)). Put p, -0.36, -4\/9 in ascending order.\nAnswer: -4\/9, -0.36, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5995521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-1 - (-10)\/(-4)). Are k and -43 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*n - 4*c = -120*n + 2, -2*n = -3*c - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17906249, -17906250, -17906251?\n\"Answer: -j - 17906248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/(-6) + 1 + (-7)\/3. Suppose 5*p - 192 = -4*c + i*c, 176 = c + p. List the prime factors of c.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1736 - -1736.3. Which is the nearest to 0.1? (a) z (b) -3 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7356*k**4 + 8138 with respect to k.\nAnswer: 29424*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 1596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*p + 3*s = -5569, 0 = -4*p + s + 4458. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6217311115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 246\/41 - (-1 + 0). Solve p - 1 = o, -o + 2*o = 5*p + u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 19929*t + 1555668.\nAnswer: 3*(t - 6564)*(t - 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, -4, 670, 35 in decreasing order.\nAnswer: 670, 35, 8, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 19*a - 10. Let v be t(13). Is (-11)\/v + 16375\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9930294701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147 - -150. Let l = f + -19\/7. Which is the nearest to l? (a) 1 (b) -4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.17 + -0.17. Let m = -1147 - -1147.7. Do m and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7003\/180 + -153\/4. Find the common denominator of -67\/90 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138693*h**2*u**2 + 66*h**2*u - 27*h**2 wrt u?\nAnswer: -277386*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 0. Let y = n + 11. Suppose -w - 2*g = -26, y*g - 28 = -5*w + 94. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 67\/4 of a decade?\nAnswer: 2010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -19, -4, -1 in descending order.\nAnswer: -1, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*p - 72*p + 551. Suppose 586 = 7*g + p. Let j = -1 + 1. Solve -o = -j*o - r, 4*o + r + g = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 - 143 = -10*x. Solve -16 = x*u + 29 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/(-39)*48867\/10024.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.856431 decades in millennia?\nAnswer: 0.02856431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 + 333*j + 4995. Give c(-81).\nAnswer: -2295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (9 + -10)*(-3 - 16) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17000 = -441*o + 241*o for o.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o + 483 + 15*o + 4*o - o.\nAnswer: -3*o + 483","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1555744899.59 + -1555744136.59000783. Let g = 763 - r. What is g rounded to 7 dps?\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2590, -5194, -7842, -10558, -13366, -16290, -19354?\nAnswer: -22582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17, -22, -97, -214, -379, -598, -877, -1222?\n\"Answer: -d**3 - 12*d**2 + 4*d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201542155.\nAnswer: 5, 11, 67, 326063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 399449595 a multiple of 629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*l + 17 + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/37, -0.05, 0.2, 3, -4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/9082 and 83\/2?\nAnswer: 9082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*q + 22*q + 17*q + 18*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138*(-19)\/342 - (-2 - -8)\/(-1).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -0.9. Let w = 5.1965 + -0.0965. Let z = w - r. Which is the second smallest value? (a) -2\/5 (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2926811311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84 + -95. Is 0.1 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -316 + 330. Suppose 0 = -j*q + 56 + 42. What is the highest common divisor of 168 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256413 less than -0.1?\nAnswer: -256413.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o. Let a be i(-2). Let v = -7 + a. Is 12\/v*9 + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.97 + 8. Let h = z + -0.23. Sort -2, 3, h in ascending order.\nAnswer: -2, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*v = -513*v - 4746*v - 157*v - 150039 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15213920*h**3*v**2 - h**2*v**2 - 89603*h**2*v - 2*h*v**2 + 4*v**2 wrt h?\nAnswer: 91283520*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1805 + 1238 - 1123 = -169*x + 217*x for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 529 divided by 529?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -8*b + b + 92, -3*o + 106 = -4*b + 142 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003398824 to seven dps.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 51 (b) 3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 555 = 5985. Is k a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1716 and 264?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1113419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311133030 (base 4) to base 3.\nAnswer: -102010112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*w + 4*w**3 - 3*w**3 + 8*w + 8 to g + j*w**2 + c*w**3 + u*w and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 10) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7863 or 6838?\nAnswer: 7863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*(sqrt(128) + 1) + 0 + 0 + -2 + -5)**2.\nAnswer: 288*sqrt(2) + 597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 - (-1 - 0)) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-157 - (2 + -29))*345\/(-2). Calculate the highest common factor of 23 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090610 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -349 + 384. What is the remainder when 344 is divided by t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 998*d + 10. Let v be y(5). Round v to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46766873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a microgram in nanograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**4\/12 - 699*y. Let o(p) = 309*p**2. Determine r(o(b)).\nAnswer: -95481*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 418677 and 956976?\nAnswer: 6698832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 + -421\/7. Let h = 3 - 2. What is the smallest value in g, -2\/9, h?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.151 - 0.749. What is the closest to 1 in -0.6, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6640 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: What is -16375.7 take away -0.2?\nAnswer: -16375.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 6*j + 5*j + 45, 2*j = 5*c - 86. Let w = -58 + 57. What is the tens digit of c + (12\/(-3) - w) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, -4, -23 in descending order.\nAnswer: -2, -4, -10, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3119751 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 31+1.0127\nAnswer: 32.0127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -340 - -347. Suppose u = -4*f + 1 + 10, -m = -u - 2*f. Solve u*n - 11 - 4 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 + 10*q**2 - q + 2. Give x(-6).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*(sqrt(891) - (sqrt(891)*-3 - sqrt(891))*2)**2 - 5*-6*(2*sqrt(891) + sqrt(891) - sqrt(891))**2) + -2.\nAnswer: -181764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -43d5 (base 15) in base 8?\nAnswer: -34047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29*8\/(-116)*2\/16.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 2 = 2*g. Let n(x) = -6 - 7*x**2 - 6*x**3 + 18*x**3 - 3*x**3 + x - 8*x**3. What is n(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-5 - -2) + -2 + (-4 - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-516)\/30)\/(1\/(-10)). Let b(s) = -3*s + 173 + 179 + u - 523. Suppose -i + 2*i = -1. Give b(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3054 - -3056. Which is smaller: v or -1297\/2?\nAnswer: -1297\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 1. Let m(i) = 6 - 2*i - 2*i**3 + 30*i**2 - 36*i**2 + 4*i**3. Determine -m(c) + 6*u(c).\nAnswer: -2*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - -48. Let x = -139.32 + 76.353. Let q = x + a. Round q to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 15*x - 11*x - 5*a, 3*a = 5*x + 37 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, y: 1, l: 6, w: 3, o: 2}. What is prob of sequence llly?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1008) - (sqrt(7) - 6*(sqrt(14)\/sqrt(2) + sqrt(7)))) + 5)**2 + ((sqrt(7)*3 - sqrt(7))*-3 - (4*(-3 + sqrt(7)))**2).\nAnswer: 320*sqrt(7) + 3472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yynynyybfyyhhbk. Give prob of sequence fb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**9\/10584 + x**8\/5880 - 14*x**3\/3 - 11*x**2. Let b(l) be the first derivative of o(l). Find i such that b(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -17*p**2 + 305*p + 32. Let v be (2*3)\/(5 + -6). Calculate the least common multiple of (v\/9)\/(2\/(-78)) and h(18).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w + 20. Let r be b(-8). Let t = r + -39. What is the smallest common multiple of 7 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 51463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = n + 35. Let m = 12 + n. Does 9 divide 2\/m - 404\/(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3 = 5*f, 3*f + 0 + 18 = k. Suppose y + 1 = t + 5, k = -3*y - 4*t. Is y smaller than -2\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 270138, 270141, 270144, 270147, 270150?\n\"Answer: 3*k + 270135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, l: 1, k: 3}. Give prob of sequence klk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2094034495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.3687413 to one decimal place.\nAnswer: -35.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -55, 5, 2, 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 489867.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 463815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -21926?\nAnswer: 21930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 2*z**3\/3 + 17. Let f(n) = -11*n**2 - 1. Determine c(f(j)).\nAnswer: 242*j**4 + 44*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -766*q + 708*q + 369 = 79 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100 - 6?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59923.\nAnswer: 31, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -272 + 310. Let k(p) = -x*p - 39*p + 75*p. Let d(i) = 600*i. What is k(d(q))?\nAnswer: -1200*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5604 less than 4?\nAnswer: -5600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -47*z**4\/12 - z**3\/2 - z**2 - z. Let s(y) be the first derivative of v(y). Is s(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 5*v + 4*v)*(-10 + 10 - 2*v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576)\/sqrt(3))\/(sqrt(6) - (sqrt(150)*-2 - sqrt(150))).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/87)\/((-110)\/33))\/((-72)\/(-20))\nAnswer: -2\/261","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.164976092 - 91654.445976092. Let k = 91742 + f. Let r = 88 - k. What is r rounded to two decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 48. Let x(w) = -w**3 - 16*w**2 + 18*w + 8. Let h be x(-17). Let c = f + h. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 0*l**3 + 0*l - 11\/24*l**4 + 120*l**2 + 0. Let u(x) = 19*x. What is u(s(c))?\nAnswer: -209*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/16 + (-27)\/(-12). Suppose 3*z = c + 15. Let i(s) = s**2 - 5*s. What is the remainder when 10 is divided by i(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14273 - -56?\nAnswer: -14216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 394 and (1 - -7) + (206 - 211).\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b + 5*w = 15*b - 12844, 3*w + 38496 = 3*b. Is b greater than or equal to 12831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/4 + 9*m**2\/2 - 363*m\/4 + 310.\nAnswer: (m - 8)*(m - 5)*(m + 31)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95480206 is divided by 3043?\nAnswer: 3038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5251 times -27\nAnswer: -141777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1745, 3488, 5229, 6968, 8705, 10440?\nAnswer: 12173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-15) - -4*(-5)\/(-100)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2 + 0*w**2 + w**2 + 3 + 4*w. Suppose -2*k = 2*k + 16. Let r be g(k). Calculate the greatest common factor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -7. Let u = j + -8. Let c = u - -3.3. Round c to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015902389562 to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/((-32)\/(-8)))\/6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from {h: 1, c: 1, w: 1, a: 3, i: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -2 (c) 3 (d) 1\/5 (e) 1.3 (f) 12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*z - 5 = 0. Let k(u) be the second derivative of u**4\/12 - u**3\/2 - 2*u**2 + 31*u. Give k(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/17 + 912*o**2\/17 + 103050*o\/17 - 209764\/17 = 0. What is o?\nAnswer: -229, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) -2\/9 (c) 3 (d) 2\/7 (e) -2\/5 (f) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*w = -66*w + 96. Calculate the least common multiple of 24 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 smaller than -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 19*s**2 + 12*s**2 + 8 - 7*s**2 - s**3 - 16*s. Is v(23) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 577, 570, 575, 598, 645, 722, 835, 990?\n\"Answer: n**3 - 14*n + 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 101 + 2\/5*h**4 + 0*h + 26\/45*h**3 - 2\/75*h**5 + 0*h**2. Find j such that l(j) = 0.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.616292 years to centuries.\nAnswer: 0.05616292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/12*3 - -36. Suppose 0 = 5*v - f + 4. Solve 2*u = 5*u - v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(192))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -15*p**2 - 456. Let n(v) = 25*v**2. What is u(n(l))?\nAnswer: -750*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -57444 times 56.5?\nAnswer: -3245586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/65, -22245.\nAnswer: -22245, -4, -2\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c*o**3*w - 196*c*o**2*w - 3*c*o**2 - 3*c*o*w - 2*c*o + c - 2*o**2*w + 27*o*w + 4*w wrt o?\nAnswer: 12*c*o*w - 392*c*w - 6*c - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (-3)\/1 - -16. Suppose q - 3*w = 3*q + 11, -5*q - p = -3*w. Let y = 13 + q. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t + 129. Let x be r(-31). Let f(p) = p**2 - 3*p. Let z be f(3). Suppose x*s - y = 6*s - 37, -3*s - y + 109 = z. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3))\/(-1)*(-192)\/(-64).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 41\/(-246) + (2 - (-570)\/(-252)). Which is the nearest to -37? (a) -3\/5 (b) 2\/7 (c) -7 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/7 - 88\/(-14). Let b = -4 + h. Suppose -k = b*k - 21. What is the highest common factor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + 9 + (-36 + 11 - -22).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1991, -15\/13, 2\/11 in ascending order.\nAnswer: -1991, -15\/13, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/35)\/(5\/(-125))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -4. Let p = -3 + a. Solve r = p*g + 3, 5*g - g = 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 + 4 - 4 + (-2*a**3 + 0 + 0)*(-5 + 0 + 3) - 7 - 2*a - 2*a**3 + 2*a.\nAnswer: 4*a**3 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p - 3. Let h(l) = -l - 3. Let j be -20*(-2 - -1)*3\/(-2). Let v = j + 33. Suppose 5*q = -v*d - 4 + 5, 2*d + 5*q + 1 = 0. Give d*k(a) - 3*h(a).\nAnswer: -a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from qqqqqqqkqqkqq.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, s: 1, z: 4, q: 3}. Give prob of sequence aaqq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**2 + 8*r - 1. Let o(v) = v**2 + v. Give 6*o(h) - t(h).\nAnswer: 2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from memsesmomemmmeeess. What is prob of picking 1 e and 1 m?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -8*m**3\/3 - 23*m**2\/2 - 27*m + 5. Let n(q) = q**2 + q. Let x(g) = -5*n(g) - p(g). Factor x(y).\nAnswer: 3*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 7 - 8 = 0, 4*k + 77 + 0 = -23*m - 3*m - 25 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 19. Let b be i(8). Solve 5 = b*y - 8*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -224 times 0.1\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.34279537 rounded to three decimal places?\nAnswer: -17.343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k - 321. Let z(j) = j - 160. Let i(b) = 3*t(b) - 7*z(b). What is the lowest common multiple of 4 and i(29)?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 9:20 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/6 - 292\/(-12). Suppose 5*a - p = 15, p = -4*p - h. Solve -3*o = -4*i - a, 5*o + 5*i + 18 = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 10)\/(-3)*30\/(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*-3 - (-9)\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-8 - -16) - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*a + 2*a - 2*y, 3*a = 4*y + 2. Let o be (a\/(-3))\/((-6)\/15). Let x = -2.7 + 3. What is the biggest value in o, 1, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 83*i**4 - 3*i**3 + 16*i**2 + 3*i + 3. Let q(j) = j**4 + j**3 - j**2 - j - 1. Let s(a) = -p(a) - 3*q(a). What is the third derivative of s(c) wrt c?\nAnswer: -2064*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 6*s**2 + 2*s + 6. What is m(7)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1 - (-3 - -1)) + -45 + 40?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -477 + 1107. Suppose 0 = 14*l - 8*l - o. List the prime factors of l.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-240)\/36 + 8 - (1 - 0). Sort n, 6\/19, -0.1 in ascending order.\nAnswer: -0.1, 6\/19, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s = -3*x + 30, 8*x + 3*s = 105. Solve 0 = 22*q - x*q - 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4542 equal to 4542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58468 + 84881. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136 - 21. Let w = -100 + c. Solve 12*a = 17*a + w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18881 + 18880. Let u(q) = -3*q**2 - q + 1. Let j(k) = k**3 + k**2 + k - 1. Let n be (4\/(-10))\/((-4)\/(-20)). Let b be 1*(n + 2\/2). Give b*j(l) + o*u(l).\nAnswer: -l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/5)\/9 - 19\/35.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 5. Let x be s(0). Suppose -3*q = -5*q + q. Suppose q = i - x*i. Solve 2*z + v - 7 = -i*z, 3*z = -2*v + 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 + 71. Solve -5*t = 3*x - 2*t - f, -5*t = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**10\/6048 - s**9\/1008 + s**8\/672 - s**4\/2 + 8*s. Let h(w) be the third derivative of l(w). Suppose h(d) = 0. Calculate d.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**17*l\/(l\/l**(-8\/7))*l*l assuming l is positive.\nAnswer: l**(132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 143928 * 13.\nAnswer: 1871064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21364 - 21363.999936143. What is c rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8111324 divided by -47996?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 895?\nAnswer: -89a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - l + 23 = 0, l = -5*j - 3*l + 29. Suppose -2*g = -59 - j. Suppose -17 = -3*i + g. What is the greatest common factor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 6:10 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 11 + 7)*(-93*l + 14*l + 2 - 32*l).\nAnswer: -1332*l + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 0 - 16, -12 = 2*u - 3*v. Solve 0*m - 2*m + 10 = u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1486.77 - -1467. Let l = -20 - i. Let z = -1.77 + l. What is the third biggest value in -0.5, z, 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167243.\nAnswer: 29, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -9*n + 2037. What is the remainder when n is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -o - 3*o. Let r = o - 3. Let m(z) be the first derivative of z**2\/2 - z - 502. Let b(w) = -w + 1. Give r*m(v) - 2*b(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4202068.\nAnswer: 2, 13, 80809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 10*l - 11*l + 94, 4*l - 471 = -3*m. Calculate the smallest common multiple of l and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + o + 5. Which is the third biggest value? (a) 1 (b) -0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 - 17040*i**2 - 51082*i + 170340.\nAnswer: -2*(i - 2)*(i + 5)*(i + 8517)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27554 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: What is 707 minutes before 5:35 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (778 - -2) + (-1)\/(4\/16)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**2 - 11322*b - 788739 = 0.\nAnswer: -3703, -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 5 (b) 75136 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffolffbfyfblfffulf. Give prob of sequence youl.\nAnswer: 1\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2606 + -2606.003201. What is k rounded to four dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.46 times 297.736\nAnswer: 3412.05456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 2. Let k be w(3). Let n(z) = -6*z**2 - 14*z - 1. Let m(c) = 2*c**2 + 2*c + 2. Let j(r) = 2*m(r) + n(r). Give j(k).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -30*p + 29*p - 2412, 9660 = 4*g - 2*p. Is g a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, b: 5}. Give prob of picking 2 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 9. Let t be p(-4). Suppose 0 = -5*y + t, -16 - 3 = -3*a - 2*y. Solve 4*s = -a*c - 26, -2*c - 3*s - 23 = 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99786 and 30.\nAnswer: 498930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/(-21))\/(-1 + 12\/15). Sort 3, -1, -37, l in ascending order.\nAnswer: -37, l, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/5089680 and -151\/48.\nAnswer: 5089680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11218, -11217, -11216?\n\"Answer: k - 11219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 22 = 4*a, 5*l - 4*a - 32 = l. Calculate the remainder when 116 is divided by 5*l*(-8 + 9).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 10:26 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0529 - 0.2571. Let b = -6090.69076 - -6091. Let r = b + y. Round r to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 275910813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 746 divide 38267175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 + 6 - 6 + 22*j**2.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 490 + -487.2. Put 0.1, y, 2\/25 in descending order.\nAnswer: y, 0.1, 2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 10 = m. Let w be 65\/m + (-2)\/4. Does 12 divide (w\/7)\/(3\/84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**4 + 868\/9*b**2 + 56\/9 + 188\/3*b**3 + 44*b = 0 for b.\nAnswer: -14, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 7. Let g be h(9). Suppose g = 3*m + 2*m. Suppose -142 = m*n - 626. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*p - 2*x, x + 0*x + 18 = -4*p. Let j be 4\/(-6)*(-6)\/(-4)*p. Solve -2*u + j*b + 16 = 0, -2*u + 9 = b + 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15510 is divided by 98.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 - -0.25. Let r = -3846 - -3846. Let u = 0.3 + -0.3. Which is the closest to r? (a) -0.06 (b) u (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-1 + -2)*((-160)\/24 - -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -26275 - 4*u**2 + 960*u + 0*u**2 + 1480 - 29976 - 2829 = 0.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2557*w**3 - 536*w**3 - 3 - 2 + 4.\nAnswer: 2021*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 + 2*x**3 - 8*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 20. Solve 2*d - d - h = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550.554 rounded to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 15. Solve -3*o = o - h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 20 = -4*m. Suppose 0 = 3*d - 0*x - 5*x - 41, -m*d = 5*x - 43. Suppose 4*f - 44 = 3*j, -f + 4*j + d = 3*j. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i. Let b be (-4 + (4 - 0))\/1. Let k(c) = b*c + 2*c + 6*c - 4*c. Calculate k(w(z)).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -3) + 8 + -8. Suppose h*m + 86 = m + v, -v + 3 = 0. Is m at most 81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < -0.935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6123 is divided by 2569?\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-2))\/(2\/(-128)). Suppose 2*w + z = 18*w. Is ((-33292)\/(-8))\/7*w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 11*m + 118. Suppose 21*s + 2*v = 26*s + 64, -s - 31 = -3*v. Give k(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1155 rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2434 + -30243?\nAnswer: -33232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5410 is divided by 135?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*r + 3470, 2*r = 7*v - 5*v + 3470. What is the common denominator of 67\/8 and 6\/(15300\/r) + 4\/(-30)?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 7, p: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d + 18*d + 391*d**2.\nAnswer: 391*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2\/(-4) - (-783)\/174)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1075, 4177, 9341, 16561, 25831, 37145, 50497?\nAnswer: 65881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158290 - 79208 - 29*v - 79082 + 10*v.\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(28) + sqrt(28)))\/(sqrt(8)\/sqrt(2)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 352 = -12. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -363*f*s**6 + 5*f*s**5 + 4*f*s - 68*f + 3*s**2 + 5 wrt s?\nAnswer: -43560*f*s**3 + 300*f*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-12)*(-3)\/105*-4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 43 and 5878192218?\nAnswer: 5878192175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3193518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 26 = 3*m, 4*p - 45 = 4*m - 1. Solve -3*n = -4*w + 7, -n - 4*w + p*w = 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3241 + 3263. Is 4\/7 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 + (-192)\/21)*4\/22. Do 1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*k - 5*k. Suppose 4*x = -k*m - 4 - 1, 0 = -2*m + 3*x + 21. Suppose -3*h - 5*y = -23, 2*y + 9 = h + m*y. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 - -210668.\nAnswer: 210655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -85, 15, 237, 641, 1287?\n\"Answer: 10*v**3 + v**2 + 27*v - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/114576 and -26\/469?\nAnswer: 7676592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/6632937 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 25 = -z - 78, -49 = 2*m + 3*z. Let p be (-4)\/m - (-81)\/(-273). Let j = -0.01 + 2.01. Which is the second smallest value? (a) p (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -34, -40, -1, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -4, 10, 0.3 in increasing order.\nAnswer: -4, 2\/7, 0.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 - 3*z - 3. Suppose 2*h - 3*h - 42 = -5*f, -3*h = -9. Let b = -4 + f. Let i(y) = -2*y**2 + 2*y + 2. Give b*d(p) + 7*i(p).\nAnswer: p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00573189 to 5 dps.\nAnswer: 0.00573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4438654.\nAnswer: 2, 11, 201757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-290)\/(-6)*(-4)\/(-90) and -70\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111001100110 + 111?\nAnswer: 1111001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 166313?\nAnswer: -166316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5 - 1. Let o = 1 + t. Factor -8*a + 0*a**2 + 5*a**3 + 18*a**o - 8 + 13*a**3.\nAnswer: 2*(a + 1)*(3*a - 2)*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29740434 and 9804.\nAnswer: 4902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 102164, 102165, 102166, 102167, 102168, 102169?\n\"Answer: o + 102163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 160632 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 a, 1 k, and 1 l when four letters picked without replacement from kuballs.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.02 + 5.12. Let o = -5.4 + 1.4. Let p = o + h. Which is the closest to p? (a) -0.3 (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-35) + 8\/28. Let q be 4\/(-16) + 3954\/(-56). Let z = 71 + q. Put o, z, 3\/8, 5 in descending order.\nAnswer: 5, 3\/8, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(3\/(-3))*40. Let p be (v\/(-6))\/((-3)\/(-450000)). What is p rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -186972*o**3 + 1156505 wrt o?\nAnswer: -560916*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 31*q**4\/24 - 14*q**3\/3 - 3*q**2 - 25. Let t(p) be the second derivative of s(p). What is the first derivative of t(u) wrt u?\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 71 - 71.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*y - 9*y - 6*y)*((0 - 2 + 0)*(-2 - 3 + 0) - 2 - 4 + 4).\nAnswer: -504*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p. Let w(n) = -2*n**2 + 3360*n + 609. Calculate w(m(k)).\nAnswer: -8*k**2 + 6720*k + 609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -1 (c) 207.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 1, q: 1, h: 1, f: 2, i: 1}. Give prob of sequence ff.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -34*d + 553. What is the lowest common multiple of 330 and r(16)?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 0*i**2 - 7\/12*i**4 - 2\/9*i**3 + 4 + 0*i. Find l such that k(l) = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 12:06 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 + 3*f - 3. What is w(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + k**2. Let w be i(1). Let y be w\/((-3)\/(-2) - 1). Let m(o) = -2*o - 2. Let u be m(-1). Solve 2*n = g + 3*n + 5, u = -g - y*n - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 8 = b - 5*y, b - 48 = 4*y. What is the greatest common factor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 + -12 + (1 - 4). Let n be 9\/15 - 72\/x. Let t be -3 + (-3)\/1 + n. Solve 4*a - 29 = -t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 - -56. Let k be 0 + (-3)\/(1 + -2). What is the first derivative of -k*d**3 + 6*d**3 - m - 4*d**3 + 8 wrt d?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/1185 and 63\/62.\nAnswer: 73470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20 (b) 0.3 (c) 1403 (d) 4 (e) -73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 98582670029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*c - 7, -2*m - 4 = -0*m - 5*c. Suppose 0 = -m*v + v. Let k(i) = v*i**2 + 5*i**2 - 15 + 15. Let d(b) = -3*b**2. Determine k(d(y)).\nAnswer: 45*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 4:35 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3, 5, -13 in increasing order.\nAnswer: -13, -0.1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5555159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**2\/4 - 20087575*c\/4 - 20087555 = 0. Calculate c.\nAnswer: -4017511, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-9) - 5722\/252. Let d = 109\/7 + c. Let s = -805 - -9745\/12. Calculate the common denominator of s and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111916.01 + 111225. What is l rounded to the nearest ten?\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 233857300.\nAnswer: 233857302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -2\/5, 12, 0.13719 in decreasing order.\nAnswer: 12, 4, 1, 0.13719, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 151*t**5\/20 - 31*t**3 + t**2\/2 - 15*t + 5. What is the second derivative of y(q) wrt q?\nAnswer: 906*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 18 = -5*n + 4*f, -3*n + f - 2 = 0. Let v = 187543\/54 - 3473. Is v not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399806155?\nAnswer: 5, 7, 11423033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*d*q*v - 11*d*q + 2*d*v**2 - 6*q*v**2 + 6*q wrt v.\nAnswer: 45*d*q + 4*d*v - 12*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from bbbbbbbebbebbbbbbe.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -222*a - 1 - 1 + 220*a + 2*a**4 - a**3 to o + r*a**2 + g*a**3 + j*a + l*a**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + (-3)\/(-6)*-6. Suppose 0*n = b*n - 8. Factor 6\/5*z + 4\/5 + 2\/5*z**n.\nAnswer: 2*(z + 1)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - 47. Sort 1, -2\/11, b in decreasing order.\nAnswer: 1, -2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0188 + -67\nAnswer: -66.9812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (4 + -4) - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 2*y**2 - y**2)*(-21*y + 35*y + 1 - 2).\nAnswer: 28*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 451*z + 481*z - 1403*z + 519*z.\nAnswer: 48*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -2 + (2 - -3). Suppose 5 + 5 = v*g. Let s be 3 - 1 - (-8)\/4. Solve 3*p + g = 2*p + 5*m, 2*p + m + s = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1253670 divided by -4785.\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -202270 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/28 and 43\/104.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a millimeter in micrometers?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9585 at least -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**2 - 30*v**2 + 36*v**2 - 11*v**2.\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(-13\/4)\/(f**4*f**(-1\/3)\/f) assuming f is positive.\nAnswer: f**(7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 6\/259 (c) 0.1 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8075785 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 332997816?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbfh when four letters picked without replacement from fhijfihhobfbob.\nAnswer: 9\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3540 and 139\/2832?\nAnswer: 14160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 2*q + 1. What is the lowest common multiple of r(2) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 10) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -29, 13, 410 in decreasing order.\nAnswer: 410, 13, 5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - j = 4*d + 31, -2*j + 2 = d. Let m(b) = 1. Let v(k) = k + 6. Let f(s) = d*m(s) + v(s). What is the units digit of f(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145006 minus 302.6?\nAnswer: -145308.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/30 and 149\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 9\/20*g**5 + 0*g**3 + 0*g**2 - 7\/30*g**6 + 0 + 29*g - 11\/4*g**4. Find the third derivative of n(y) wrt y.\nAnswer: -168*y + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/2 (b) -1 (c) -0.5 (d) 237\/22 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 718389 to the power of 1\/2, to the nearest integer?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 12 + 32 = 0. Solve 2*a + 2*a - t = 5*z, 5*a - 5*z = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21021006\/21 + (-2)\/7*1. Round o to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237935257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 502 + 581. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.97415 rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48542400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22446133 - 450?\nAnswer: 22445353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-834)\/(-9))\/(10 - 261\/27). Solve 3*v + 291 - j = -2*n, -v - 3 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/5647753?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 75 = 236*g - 248*g, 0 = -g + 4*n - 11*n + 27 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37684943.\nAnswer: 907, 41549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 739 - 740. What is the closest to -1 in 0.38, h, 5\/3, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -20. What is the nearest to 0 in 1\/4, 2, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c - 1 = -17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjry when four letters picked without replacement from ryynrynyjynjnjn?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjrrjrrrjjjrj. What is prob of sequence rr?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 33 = k, 3*k + 3*m - 43 = 8. Let n = k - 56. Let q = 100 + n. Is 19 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8285 = 9*p - 4*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1011\/2 + 504. Let w = -134.5 - -135. What is the second smallest value in s, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47095*y + 543307*y + 17005*y - 2 + 275916*y.\nAnswer: 789133*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*l**3*s**2 - 225*l**3 + 2*l**2*s**3 wrt s.\nAnswer: -44*l**3*s + 6*l**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0261 in -1, 18\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -70922.\nAnswer: 3\/35461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 5*p**2 - 28*p - 156. Determine u(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*f + 2*a - 1206, -4*f - 5*a = -2413. Let k = f + -336. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6194701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 23 = v. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -46, 187, 606, 1217, 2026, 3039?\nAnswer: 4262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6491*n - 3244*n - 3221*n.\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -5 - -5 - 3 - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**2 + 39*i - 10. Let t(o) = o**2 - 3*o + 2. Let j = -981 + 979. Let g(f) = j*t(f) - r(f). Calculate g(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 11*z**2 + 8*z + 20. Let n be w(10). Suppose -6*o - 6*o + 16164 = n. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1303 (base 9) in base 11?\nAnswer: -807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22 (b) -2\/15 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -52110971.\nAnswer: -52110971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 29 = -2*q, -q - 4*y = 9 - 31. Suppose -5*h + 10 = -5*g, 0*g - 21 = -3*h - 2*g. Sort q, -2, h in increasing order.\nAnswer: -2, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**3 + 50*r**2 + 67*r + 183. What is g(26)?\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2930736, 2930732, 2930724, 2930712, 2930696, 2930676?\n\"Answer: -2*i**2 + 2*i + 2930736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39997735 to the power of 1\/2, to the nearest integer?\nAnswer: 6324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 3, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7 - 7*x + x**2 - 1 - 2 + 3*x. Determine p(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42330207 take away -0.008686?\nAnswer: -42330206.991314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 32 = 4*d, -3*l = 2*l + 4*d + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/6*-2 + 0\/(-5). Sort 2, -5, -24, f.\nAnswer: -24, -5, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0 = 4. Calculate the common denominator of -2 - j - 126\/(-33) and 29\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-600)*474 + 23?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 15*a + 21. Let r be z(-15). Suppose 0 = 2*n - r - 1. Calculate the greatest common factor of 99 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 486211.7 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -69. Suppose -2*f - 22 = -5*h + 26, 6 = h - 4*f. Suppose -v = -h*v + 36. What is the highest common factor of v and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904979.\nAnswer: 211, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54311 is divided by 208?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14703 (base 12) in base 15?\nAnswer: 8759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2424 = -6*o - 264. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*b + 20 = 0. Suppose -3*k = -b*k. Suppose -6*j + j = -f - 95, -3*f - 15 = k. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((18 - 5) + -5 - (7 + 7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 4\/7, 0, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 19 + 20 + n + n**2)*(5*n**2 - 2*n**2 + n**2).\nAnswer: 4*n**4 + 4*n**3 + 120*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17126*y**3 - 17122*y**3 + 57*y - 8*y.\nAnswer: 4*y**3 + 49*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-189)\/(-1944) + 7*(-2)\/(-112))*9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*y - k + 6, -y - k = -7. Let q = y + -1. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5139\/790 - 2\/395. Find the common denominator of m and -9\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -12*w**2 + 4 + 6*w**2 + 4*w**3 - 89*w + 92*w - 5*w**3 - 3. Let v(t) = -2*t + 5. Let a be v(6). Determine u(a).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a + 3*a - 11*a + 7*a - 13*a.\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 54 - 10. What is the remainder when h is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205 and 445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*u**2 - 141*u**2 - 184*u**2.\nAnswer: -558*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 + 62. Let g(n) = n**2 + 5*n - 9. Let m be g(c). List the prime factors of (3 - m\/(-3) - 1)*22.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -63d49 - 232?\nAnswer: -63f7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 94\/(-8) + 44\/16 + -3. Let l be (18\/s + 2)*24\/92. Let q(g) = g - 1. Let t be q(0). Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 89 = -3*u + 4*u + 7*v, -53*v + 43*v - 20 = 0 for u.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 5. What is the closest to 1\/4 in -2\/5, z, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 4*(sqrt(147) - (sqrt(147) + sqrt(147) + 1 + sqrt(147))) + -1 + sqrt(147) + -2)**2*-3.\nAnswer: -16023 - 1764*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 3.2. Let p = 8 - 13. Sort p, 4, s in descending order.\nAnswer: 4, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192023 = 104*y + 45903. Calculate the lowest common multiple of 9 and y.\nAnswer: 12645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10039 is divided by 347?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 483644 or 483645?\nAnswer: 483645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + (-16)\/4)\/1. Let c = v + -6. Let w(s) = 1 - 2*s**2 + 3 - 1 - 2*s**2. Let l(z) = -z**2 + 1. What is c*l(q) + 2*w(q)?\nAnswer: -q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 1 - 2 + 12*t - 9*t as n*t + a and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/144804 and -107\/1303236?\nAnswer: 1303236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 16*q - 451. Let h be l(28). Sort h, -1, -120, 5 in descending order.\nAnswer: 5, -1, h, -120","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8966 + 12995. Calculate the remainder when o is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 11*r + 87. Let z(q) = 14*q - 8. Let g be z(2). What is the tens digit of h(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*m*r**4 - m*r**3 - 1634*m*r + 1013*m + 2 wrt r?\nAnswer: 8*m*r**3 - 3*m*r**2 - 1634*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1463 + -0.9463. Which is the smallest value? (a) -5\/4 (b) -167 (c) q (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3 - 4*k**2 + 104*k - 96 = 0 for k.\nAnswer: -6, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -125*w**4\/4 - 90*w + 217. Differentiate v(l) with respect to l.\nAnswer: -375*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584*a + 288 = -548*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/2 - 0)*(11776\/(-360))\/(-368). Determine a so that -10952\/3 - 296\/3*a - d*a**2 = 0.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, l: 3, d: 1}. What is prob of picking 1 d and 3 l?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 497\/(-4 - -7 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 13*s**2 - s - 6. Suppose 5*d - 8 = v + v, 0 = -4*d + 8. What is the least common multiple of v and o(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 31 + 3*d**2 - 31. Let i(a) = a**2 - 35*a. Calculate j(i(m)).\nAnswer: 3*m**4 - 210*m**3 + 3675*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6061 + -6066. Which is the closest to 30? (a) p (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**2*u**3 - 813691*k*u**3 + 82*u**3 + 2*u**2 + 23980*u - 2 wrt k?\nAnswer: -2*k*u**3 - 813691*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6985 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15234 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 557426293 or -1?\nAnswer: 557426293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 96818.35 weeks?\nAnswer: 58555738080000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -38. Suppose 0 = -0*v + v - j. Calculate the greatest common factor of 39 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 57.7915.\nAnswer: 60.7915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by 54\nAnswer: -65\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -809450000 to the nearest one million.\nAnswer: -809000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 2 (c) -4 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/((-60)\/15))\/(((-6)\/288)\/((-30)\/(-40)))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/25, -70, -4, 0.5 in ascending order.\nAnswer: -70, -4, -6\/25, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 80 + 14 = -4*s, 19*t + 61 = 5*s + 204 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3234022793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uupxppp. Give prob of sequence pu.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 10*d**2 - 7*d - 5. Let h be w(7). Let i be (h\/15)\/(2\/10). Suppose -3*y = 4 - i. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 - 11 - (-654 - -620)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 69 + (15\/3)\/5. What is the greatest common divisor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 8, -23, 10, 3 in descending order.\nAnswer: 10, 8, 3, -8, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x. Let i(t) be the second derivative of t**5\/20 - t**2\/2 + 2*t. Let c(k) be the first derivative of i(k). Give c(s(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*m - 19, 3*f = m - 3*m + 5. Let r be (f + -3 - 2)*(-3)\/(-30). Let q = 6 - 5.9. Which is the nearest to q? (a) r (b) -3 (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -354918612 by -6.\nAnswer: 59153102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/10)\/y**20*y\/y**(-30)*y**(-9) assuming y is positive.\nAnswer: y**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, y: 1, t: 1}. Give prob of picking 1 t and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**4\/2 - 23*h**3 - 35*h**2\/2 - 35*h + 167. Let x be q(-34). Is x at most as big as -12\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**4\/7 - 884*i**3\/7 - 6812*i**2\/7 + 884*i\/7 + 6816\/7 = 0.\nAnswer: -213, -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31819926 by 429999.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 530 = -2*y - 2*r + 263 + 325, 29 = y - 5*r for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2410 + -1235?\nAnswer: -4045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l**4*p - 41*l**3*p**2*z + 10*l**3*p*z - 17*l**2*p**2*z - 6*l**2*p**2 + 6*l*p**2*z wrt l?\nAnswer: 96*l*p - 246*p**2*z + 60*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 4*m - m)*(3*m + 0*m - 5*m).\nAnswer: -6*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 103 + 13*j**3 - 37 - 36.\nAnswer: 13*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/1 - (7 + -4). Suppose 5*h - u = -3*g, -11 = g - 5*g + h. Factor 0 + 0*c**2 + 2\/11*c**5 + 0*c**4 - 4\/11*c**g + 2\/11*c.\nAnswer: 2*c*(c - 1)**2*(c + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -10*m**2 - 165*m - 25. Determine g(-20).\nAnswer: -725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.06, 87, 1\/2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17149\/4476 + 3\/1492. Find the common denominator of y and 30\/(-105) - (-4458)\/17612.\nAnswer: 3774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*s**4 - 69*s**3 - s**2 - 634*s + 50439406.\nAnswer: 36*s**3 - 207*s**2 - 2*s - 634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-759)\/(-77) - 8)*7 + 20\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**6\/140 - 29*c**5\/70 + c**4 - 288*c**2. Factor m(z).\nAnswer: 6*z*(z - 28)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, t: 13}. What is prob of picking 1 s and 1 t?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15044283?\nAnswer: 3, 103, 16229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1556 and 19\/42401.\nAnswer: 169604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -649010?\nAnswer: 11\/324505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-32)\/(-24))\/((-2)\/6). Let y be 1 + 5\/((-10)\/j). Solve -y*v = -7*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86)\/215*5\/((-2)\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2. Let h(s) = 260*s - 3. Suppose 0 = -12*w - 152 + 56. Let d(f) = -782*f + 8. Let t(b) = w*h(b) - 3*d(b). What is c(t(q))?\nAnswer: -70756*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 11. What is a(6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -326*n**3 + 3*n**2 - 2*n - 779 wrt n.\nAnswer: -978*n**2 + 6*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -35181000 to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23983057\/1215 - 98699\/5. Let w = o + -2\/243. Are w and 0.131 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f = -8. Suppose 0 = -f*g - 0 + 2. Let q(z) be the first derivative of -z**2 - z - 6. Give q(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 23 - 23 + y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28 - 27)\/(2\/10). Suppose f*c + 1008 = -2*c. Let b = 97 + c. What is the common denominator of b and 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - -1. Is 11 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 103024116?\nAnswer: -103024110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*m - 3*v + 8, -m - 3*v = -11. Is -1\/4 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a - 20. Let z(l) = -10*l + 20. Let f(o) = -4*g(o) - 3*z(o). Calculate the smallest common multiple of 12 and f(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 363\/895 + -1\/179. Suppose 3*s = -2*s. What is the nearest to s in 0.5, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 4*m + 58. What is the remainder when d(10) is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 16*s + 3*s**3 - 45 - 7*s**3.\nAnswer: -4*s**3 - 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 349322599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 47\/4 of a millennium?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7865247121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 - 62 = 6*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 942, -0.5, 1\/50, -5, -0.21, -0.1?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 10671 = 10639 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*c - 212*c - 4*c**2 + 33*c**2 + 249*c + (2*c - 2 + 2)*(0 + 0 + c) in the form b + o*c**2 + p*c and give p.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 601117199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53946*b**2 + 110267*b**2 - 56327*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjaanqnh. Give prob of sequence jy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/a**6)*a*a)*a*a**(1\/3)\/a)**42)**(-2\/37) assuming a is positive.\nAnswer: a**(560\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -28*q**2 - 100*q + 2. Let k be x(-5). Are k and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x = 31*x - 104. Let l = 162 - x. Is 22 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 936*n**5 + n**3 - 2140*n**2 + 6*n - 572434.\nAnswer: 18720*n**3 + 6*n - 4280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18957.\nAnswer: 3, 71, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 609 + -610. What is the closest to 0 in t, -51, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 3*x - 7. Let y be l(-3). Solve -t + 12 = -5*b - y, 0 = -3*b + 3*t - 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 32, 1.3, 7\/3453?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136262*u**2 - 168697*u?\nAnswer: 272524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4432*n + 4437*n + 60 = 0 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1939281 or -6\/175?\nAnswer: -2\/1939281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g - 24. Let b be ((-1 - 4) + -28 + 27)*40\/(-24). Calculate y(b).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n**3 - 2044*n**2 - 4984*n - 1984 = 0.\nAnswer: -248\/3, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1008)\/(-13) + (-1332)\/(-2886). What is the highest common divisor of 27066 and z?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*k = -53*k + 28704. Let z = -6781 + k. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -8. Let c(t) = -t + 12. Let d be c(y). Suppose 3*p = -d*m - 12, 5 = -p - 5*m - 15. Is 0 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1768\/16*-10*(-3)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 9 = -5*w + 45, -3*w + 3*z + 36 = 0. Suppose 4*p = 3*a + 17, -2*a - 4*p = -0*a + 18. Let j = 2 - a. Is j smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z**5 + 65*z**4 + 240*z**3 - 95*z**2 - 380*z + 180 = 0 for z.\nAnswer: -2, 1\/2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.406 in -1\/17, 0.1, -2\/3, 0.2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7127\/91 + -1020\/13. What is the nearest to -1 in 0, r, 12, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -64 + 195?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2. Let i(l) = 8852*l. Determine i(u(r)).\nAnswer: 17704*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -37*n - 120. Let x be o(-6). Calculate the greatest common divisor of x and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Let h = 1 - x. Let z = -7.9 + 8. Which is smaller: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15547420*v + 45053113.\nAnswer: 15547420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 13*a. Let q(s) = s**2 - 1129*s - 9. Calculate q(j(l)).\nAnswer: 169*l**2 - 14677*l - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -363 (b) 5 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m = -27*m + 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 5, 0*j + 5*d = 5*j - 45 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -4\/133 in increasing order.\nAnswer: -4\/133, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/6*(1131\/(-26))\/(-29).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i. Let y(p) = 18*p - 43 + 42 - 42*p. Calculate y(x(u)).\nAnswer: -48*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 10953.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65867 is divided by 184.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9 + 2*k**2 - 2 - 13 - 28*k - 6*k**2.\nAnswer: -4*(k + 1)*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**2 + 2*k**2 + 0*k**2 - k**2 - 2*k + 2*k + (2*k - 1 + 1)*(2*k + 2*k - 2*k) + k**2 + 2*k**2 - k**2 + 4*k**2 + 12 - 12 + 5*k**2 - 11*k**2 + 1 + 3*k**2.\nAnswer: 4*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 3 (c) -35500 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*j - 12, 21 = -5*l + j - 31. Let q = 16 + l. Solve 2*i - 4*i + q = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13829270*m + 11630969 wrt m.\nAnswer: 13829270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, t: 2, x: 2}. Give prob of picking 1 t and 1 x.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 86138616 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -709 divided by 5275\nAnswer: -709\/5275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32 + 63 - 20)*((-14 + 14 + 5*l)*(3 - 4 + 0) + 2*l - 1 + 1)*(2 - 5 - 7) in the form v + u*l and give u.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (17741\/(-9577) - (0 - -7)) + 10. Which is bigger: 3 or p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 764984292 to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*5*(60\/4)\/15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.384 - -1.5. Let y = t - -4.584. Let h = y - 4.584. What is h rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3031*(-11)\/(-14091) + 98\/(-42))\/(0 - 2).\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(70) + (sqrt(70) - sqrt(70)*-1)*-5)\/(sqrt(1210)*-2 + sqrt(1210) - sqrt(1210)))**2.\nAnswer: 2835\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 18 + 7 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-1 - -2) + 3) - -25.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1519.6 + 1520. Put 2\/9, 5\/2, i, -1.3 in increasing order.\nAnswer: -1.3, 2\/9, i, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -3. Solve 0 = -l + 5*l - 2*a + 10, 4*l + y*a = 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 - 18 - (1 + (1 - 8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 910 - 922. Which is the nearest to -5? (a) m (b) 0.4 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 47, -7, -53\/14?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, y: 2, a: 10}. Give prob of picking 1 y and 2 o.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(192) + 0 - sqrt(192)))**2 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18, 38, 92, 198, 374?\n\"Answer: 3*g**3 - g**2 + 2*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-208)\/19)*-2\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 143023 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2)\/b*b*b**(-2\/13)*b*b)\/(b\/b**(-1\/2))**(-6\/11))\/((b**1)**(-29))**(-13\/4) assuming b is positive.\nAnswer: b**(-52673\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 + 75*k**2\/4 - 171*k - 361\/4.\nAnswer: -(k - 19)**2*(2*k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.7, 0.3, -3.4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 8.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**5*x - 238*u**4*x**3 + 26*u**2*x**2 - u*x**3 + x**3 wrt u.\nAnswer: 180*u**2*x - 5712*u*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -412, -410, -408, -406, -404?\n\"Answer: 2*c - 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 9*c**3 - 5*c. Let z(o) = 0*o**3 - 5789*o - 10*o**3 + 5795*o. Give 3*y(s) + 2*z(s).\nAnswer: 7*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.142.\nAnswer: 0.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*w**4 + 845*w**3 - 660*w**2 = 0. Calculate w.\nAnswer: 0, 4\/5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -575, -1148, -1721, -2294, -2867?\n\"Answer: -573*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -679 + 677. Which is the closest to 0? (a) 1\/5 (b) -4 (c) t (d) -44\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v - 10. Let d(j) be the first derivative of -1\/2*j**2 + 5 - 5*j. Let r(g) = -7*d(g) + 4*f(g). Determine r(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, f: 1, l: 2}. What is prob of sequence lfr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225660 and 1992.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 52615320 divided by 2\nAnswer: 26307660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, 614, 1364, 2114?\nAnswer: 2864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 80937524218004?\nAnswer: -80937524218003.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187189993.\nAnswer: 37, 5059189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 9 - 8) + -9\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.42 + -1.42. Put 1\/2, -2\/75, 2, g in increasing order.\nAnswer: -2\/75, 1\/2, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32231628 is divided by 85495?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (27\/(-135))\/(((-5)\/50)\/((-1)\/3)). Is -486 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from {d: 1, n: 1, x: 2, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10672\/176)\/23*(-220)\/40.\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 1 (c) 3 (d) -7\/519\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 2, x: 2, r: 1, q: 1}. What is prob of picking 1 a and 2 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340090 at least as big as -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 3*s - 5*s - 4*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9780 (base 10) to base 7.\nAnswer: -40341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 330.05 + -330. Are j and 8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 9*k + 15. Let t = 22 + -30. Let s be r(t). Put 3, s, 2, 0 in ascending order.\nAnswer: 0, 2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3*x - 27, -3*v + 12 = x - 5. Let g(s) be the first derivative of 1 - v*s + s**2 + 4*s. Let l(y) = -2*y. Give l(g(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/20 and -91\/382?\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-13)*j\/((j*j**(-13)*j)\/j)*j*(j**(9\/2))**(-1\/19))**(1\/39) assuming j is positive.\nAnswer: j**(29\/1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 76, -4, 0.7, -2\/13?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 - 3*i**4 + 2*i**4 + (2*i**2 - i**3 - 2*i**2)*(-5*i + i + 2*i) + 68*i**2 - 22771 + 3*i**4 + 22771.\nAnswer: 4*i**4 + 68*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 12 + 5*j**2 + 11*j - 21 - 7*j**2. Let x(r) = 3*r**2 - 16*r + 13. Calculate 7*q(o) + 5*x(o).\nAnswer: o**2 - 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 625*v = 210*v - 945 - 715. Let z(p) = -p**3 - 5*p**2 + 3*p - 11. Let x(f) = f - 1. Let s(y) = -5*x(y) + z(y). What is s(v)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -312213 (base 4) to base 15\nAnswer: -1080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 1457290201?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*z + 4*l, 27 = -0*z + 3*z + 3*l. Suppose 2*p + 1 = 3*u, 0 = z*u - 0*p - 4*p - 8. What is the common denominator of u\/(-36)*(7 - 0) and -7\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1382 - -1602. Solve -225*b + m*b + 15 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -38 + (-1 - (0 + 0))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**3\/6 - 5*u**2\/2 + 2*u. Let o be z(7). Let n(t) = t - o*t - 4*t + 7*t. Let s(a) = 2*a**2. Calculate s(n(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 2*i**2 - 5*i**2)*(-5*i + 0*i + 2 - 3).\nAnswer: 20*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1197995508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.4 (b) -1135\/27 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10483966 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 64183 to the power of 1\/2, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (42\/420*(10 + -1))\/((-1)\/2). Is i at least as big as -13\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4848, -4853, -4858, -4863?\nAnswer: -4868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 520 (base 6) to base 14.\nAnswer: da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -63*l**3 - 7*l**2 - 7*l - 7. Let u(z) = 32*z**3 + 3*z**2 + 3*z + 3. Give 3*h(b) + 7*u(b).\nAnswer: 35*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 t, and 1 d when four letters picked without replacement from {d: 3, t: 3, o: 5}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 3032115221?\nAnswer: 3032115212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q = 5*q + 56, a = 2*a - 5*q + 74 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 45824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-0.36504.\nAnswer: 4.38048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 7. Let w(r) = 6*r - 48. Let k(o) = -27*b(o) + 4*w(o). Let j(x) = -x + 2. Let n(v) = 2*j(v) - k(v). Calculate n(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*m - 132, 2*n + 217 = 5*m - 15. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 29 (b) 4\/7 (c) -5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 10:18 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = t + 16, 5*y + 7*t + 35 = 2*t. Let s = y - -3. What is the third derivative of -c**6 - c**2 + 0*c**2 + s*c**6 wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (235 - 9*b - 1547 - 1042 - 771)*(-1 + 2 + 0 + 3 + 3 - 7 + (-3 - 3 + 4)*(0 - 2 + 0) + 4 - 5 + 2 - 4 + 4 - 2) as v*b + s and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -147.5337 rounded to 1 decimal place?\nAnswer: -147.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 3284*p.\nAnswer: -4*p*(p + 821)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15761913.\nAnswer: 3, 499, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1 + -4 + 4)*-2 and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19293*i - 137552 = 811329 + 131527 for i.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 6:51 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20552046 (base 7) to base 16.\nAnswer: -1a9be6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 8*z**2 - 10*z - 3. Let n be h(-9). Suppose -n*u + 29 = 5. Solve -u*r = -2*s, 3*r = -r - 2*s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**4\/4 - 3*y**2\/2 + y + 20. Let z be t(0). Calculate the least common multiple of 4 and z\/3 + 786\/18.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1977400 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 948551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-240)\/120*10*-2*1\/(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1581*u - 2. Is f(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-9)\/(-2)*4\/6 and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(((r\/r**9)\/r)\/r*r)*r*r*r)\/(r*r**(-4\/5)))\/(r**(-4\/5))**(-8\/7) assuming r is positive.\nAnswer: r**(451\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76190, -76191, -76188, -76181?\nAnswer: -76170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 81168285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*t**3 - 8*t - 136*t**3 + 36934 + 6*t.\nAnswer: -t**3 - 2*t + 36934","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -257 + 262. Which is the closest to 0? (a) s (b) 1 (c) -5\/4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**7\/21 - 11*n**6\/120 + n**4\/24 + 157*n**3\/6 - 99*n**2. Find the second derivative of p(z) wrt z.\nAnswer: -120*z**2 - 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 - 21972*l\/5 + 60346098\/5.\nAnswer: 2*(l - 5493)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**5\/3 - 1446066*l**4 - 313668634360*l**3 - 3387575439856*l**2\/3 - 752789914800*l + 501861485664 = 0 for l.\nAnswer: -433818, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 50. Let o = -248 + 261. Calculate the remainder when s(0) is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 447796963, 447796961, 447796957, 447796951, 447796943, 447796933?\n\"Answer: -f**2 + f + 447796963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -14*c - 219. Determine v(-20).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4500*x - 2154*x - 2322*x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**3 + 970*w**2 + 50685*w + 345960 = 0.\nAnswer: -93, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 2*l**2 + 1. Let d(y) be the first derivative of 3 + 1\/2*y**2 + 0*y. What is d(z(q))?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -146 (c) 2 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 0. Let p be 2*(2 + l - -1). Let s(g) = g**2 + 3 + 0*g**2 + 0 + 3*g. Let c(u) = u**2 + 2*u + 2. Determine p*s(x) - 3*c(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 977, -1088, -5 in descending order.\nAnswer: 977, -5, -1088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*h - 24, h - 2 = 3*a + 10. Let k(s) = 0*s - 2*s**3 - h*s**2 + 2*s + 37*s**2 - 22*s**2. Calculate k(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 0.2, -0.4, 4, -2, 1.001, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3975*z + 5608 = 3747*z + 22936 for z.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.135, 95\/2 in decreasing order.\nAnswer: 95\/2, 0.135, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 62 + 198 - 59 + 30*t.\nAnswer: 30*t + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.5, 56, -5 in ascending order.\nAnswer: -5, 0, 0.5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*t + 1 + 6 = 0, 2*t = 3*h - 13. Suppose -11*i + 7*i = 47*i. Suppose i = 16*u - 20*u + 44. Solve -h*y - 4 = u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, n: 1, g: 4, b: 1, i: 1}. What is prob of sequence lnl?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4625 divided by 37.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 376 divided by 15560\nAnswer: 47\/1945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19578, -19557, -19554, -19569, -19602?\n\"Answer: -9*o**2 + 48*o - 19617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-2\/29)*z)*z*z)\/(z**(4\/3)\/z))**35*((z*(z\/z**0)\/z)\/z)**(-2\/9)*(z\/((z**(-2\/5)\/z)\/z))**21 assuming z is positive.\nAnswer: z**(57484\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016227589 to six dps.\nAnswer: 0.000162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(320) - (sqrt(320) + (-2*sqrt(320) - sqrt(320)))) + (sqrt(405)*2*4)**2.\nAnswer: sqrt(5)\/24 + 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 5*f**2 - 6*f + 6. Suppose 5*t - 128 = 42. Let m be 3\/18 - t\/(-12). Let w be j(m). Solve w = 5*r - 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**3\/5 + 798*c**2\/5 - 837*c\/5 - 9612\/5 = 0. What is c?\nAnswer: -267, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*n - 13*n + 12*n + 13*n to d + l*n and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2773052056 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8\/9 + -11\/9. Let p = 36 + 25. Let a = -61 + p. Sort 3, a, 2\/11, j in increasing order.\nAnswer: j, a, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**5\/10 + z**4\/12 - z**2\/2 - z. Let h = 343 - 335. Calculate the least common multiple of h and q(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 17 - 19. Suppose 4*m - 10 = -w. What is the highest common factor of 18 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 5. Suppose -2*f + 65 = w*f. Let j = 19 - f. Calculate the remainder when 17 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 933*i + 1. Let q(h) = -28*h. What is n(t) + 3*q(t)?\nAnswer: 849*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (34\/6 - 1)\/((-18)\/(-27)). Is 2460 + (g\/(-5) - 2\/(-5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5607323 and -5607352 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 263 = 3*b, r - 5*b = 4*r - 151. Let p = r - 48. Let l(q) = q**3 - 2*q**2 - 5*q + 2. Is 7 a factor of l(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.4 (b) 8\/11 (c) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 94094, 188223, 282342, 376445, 470526, 564579?\n\"Answer: -v**3 + v**2 + 94133*v - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -626 * 0.2.\nAnswer: -125.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 104282 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 18*j - 20*j + 35*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 81420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/1048325601?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -166.632 - -0.232. Let p = -174.3936 - r. Let g = p + 8. What is g rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64337.\nAnswer: 7, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 6*b**2 - 5*b - 6. Let c be v(5). List the prime factors of -3*(-23 + (-4 - c)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 4*f + 126. Let i be f\/14*((-4)\/(-3) + 2). Solve -2*p - i = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.27 - 0.13. Let s = 0.4 + n. Which is the closest to 1\/2? (a) 1 (b) s (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6130768, 6130772, 6130778, 6130786, 6130796, 6130808?\nAnswer: 6130822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -o. Suppose -2*a = 2*j - 14 - 62, o = 3*a - 2*j - 109. Let m = 397 + -392. Solve a = m*u - 3*i, 5*i = -u - 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 575.74 + -578.74. Let u be 1 + (-1)\/7 - 1. What is the biggest value in 0.2, f, u, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 369*p**2 - 10968*p + 95760.\nAnswer: -3*(p - 84)*(p - 20)*(p - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is -99a74 (base 11) in base 7?\nAnswer: -1142566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/5*(-12)\/(-24)*(-40)\/(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-2 - 1062\/(-3)). Let k = u + -11231\/32. Let b = -169.23 + 169.13. What is the fourth biggest value in -1, 0, b, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -758098 = -32*c + 671182. Round c to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**2 - 5*n - 8. Let b(h) be the third derivative of -h**5\/10 + h**4\/4 + 3*h**3\/2 - 35*h**2. Give 6*b(t) + 7*c(t).\nAnswer: -t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20614916899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - m**2 + m - 3. Calculate p(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 36 = -3*z. What is the remainder when 69 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 49 = 476. Does 15 divide 45\/t - ((-164)\/10 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4198*m - 4198*m - 404*m**2.\nAnswer: -404*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + (((sqrt(136) - sqrt(136)*-1)\/sqrt(8))**2 - sqrt(1088)*-1))*-6.\nAnswer: -468 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3897?\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 3*w**2 + w**2)*(-w + w - 2*w**2) - 6 + 50*w**4 + 30 - 28 - w**4 + 4*w**4 - 5*w**4 + (-1 + 2*w**3 + 1)*(-4*w + 2*w + w) + 0*w + 0*w + w**4.\nAnswer: 43*w**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00054136038 to 7 decimal places.\nAnswer: 0.0005414","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.02449 and 1.7925615?\nAnswer: 1.7680715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4 - 1925*u**3 = 0.\nAnswer: -1925, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -467? (a) 0 (b) 29.9 (c) 0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**5\/50 - u**4\/5 + 4*u**3\/5 - 8*u**2\/5 - 47*u + 22. Let b(l) be the first derivative of w(l). Factor b(d).\nAnswer: 2*(d - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -208 + 138. What is the hundreds digit of (-3)\/10 + (-65821)\/w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 4 - 0) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = l - 4*l - 9, 4*a + 4 = -2*l. Let t(s) = -1 - 2*s + 15*s + 4. What is the remainder when 77 is divided by t(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 12 + 2*l**2 - 30.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*y - 148. Let u = 16 + y. List the prime factors of u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1835948736 = -2*c + 34*c. Suppose u = q - c + 4573397, 2*q - 4*u = 105600004. Round q to the nearest 1000000.\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2849, -2847, -2845, -2843?\nAnswer: -2841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34932.\nAnswer: 2, 3, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 122792.388 rounded to the nearest one thousand?\nAnswer: 123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74 or 611?\nAnswer: 611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -136*w - 2976. Give x(-22).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 388.9291 centuries in decades?\nAnswer: 3889.291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4045.06613 rounded to the nearest 100?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31\/41 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*f = -481 + 120, 0 = -3*v + f + 536. Suppose -5*s - 220 = -5*c, v = 4*c - 2*s - s. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84444 and 527775?\nAnswer: 2111100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3738 + -1405. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.8076636 kilograms?\nAnswer: 807663.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 7*g)*(2 + 3 - 2) - g + 4*g - 2*g.\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*4\/6 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2 - 2 + (3 + 1 - 5)*(3*a - 2*a + 0*a))*(a**3 + a - a).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*w + 19 = 0, 5*r = -0*w + 2*w + 4. Let c be r\/(-5) + 4\/10. Let f = 0 + c. Solve f*x = x + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/2836 and 77\/3964.\nAnswer: 2810476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.3, -3, 2\/7, -12\/53?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 477784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17610939 and 5589.\nAnswer: 17610939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -9*n + 6. Let x be k(4). Let p be 9*(-2)\/x + 12\/5. Solve -b = -0*b + p for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 135*u + 135*u + 8. Let w be b(5). Suppose 4*n - w = 51. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1033491415 to the nearest integer?\nAnswer: 32148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 68*z**3 - 3*z**2 - 7*z + 10. Determine y(1).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5868 and 66830.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/19 + 12*u**3\/19 + 48*u**2\/19 + 52*u\/19 + 18\/19.\nAnswer: -2*(u - 9)*(u + 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3494581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 117199*i**3 - 3*i - 9443*i**3.\nAnswer: 107756*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5688892 - -11.90587.\nAnswer: 5688903.90587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 - 21432*q**3 + 150220*q**2.\nAnswer: -4*q**2*(q - 7)*(q + 5365)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**0)**(5\/3)*h**5\/h**(-3\/4))**(-6))**(-47) assuming h is positive.\nAnswer: h**(3243\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 9 - 3*c - 3*c + c.\nAnswer: -5*c + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/4 + 261 - 3. Let z = -276 + 182. Let q = h + z. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 127*y**2 - 24*y - 25. What are the prime factors of s(-12)?\nAnswer: 13, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -5, 0.126, -4 in ascending order.\nAnswer: -5, -4, -5\/2, 0.126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 505*t + 20. Let w(c) = 10*c - 4. What is 3*l(j) + 15*w(j)?\nAnswer: 1665*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -2*d**3\/3 - d**2 + 3*d. Let m(a) = 21*a + 15. Let t(g) = 1. Let l(z) = -m(z) + 5*t(z). Give -2*l(h) + 11*q(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51093 and 13482?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1 - l - 6 - 4 + 2. Determine r(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103233 (base 4) in base 3?\nAnswer: -1201210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-3 - 0) + 2520\/70 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -0.3 (c) 0.1 (d) 0.13 (e) 5.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8704\/3 - 2892. What is the common denominator of -29\/213 and g?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3))**(2\/153)\/(k**1)**(-26\/7) assuming k is positive.\nAnswer: k**(11920\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79263 and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7779592 = -43*q - 405221. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.0172 - -3. What is y rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*t + 0 + (-3 + 3 + 2*t)*(0 - 1 - 1))*(2 - 3 - 4)*(-3 + 3 + 2)*(-t - 5*t + 2 + 3*t).\nAnswer: -180*t**2 + 120*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1214219 is divided by 4464.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2147798, -4295596, -6443394?\n\"Answer: -2147798*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5 - 2 + 11*l + 3 - 5*l + 11*l**2. Let m(p) = -4*p**2 - 2*p - 7. Let h(a) = 1. Let r = -21 - -22. Let d(b) = r*m(b) + 5*h(b). Give -8*d(n) - 3*g(n).\nAnswer: -n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/5 + 938*c**4\/5 + 108534*c**3\/5 - 346418*c**2\/5 - 1433936*c\/5 + 334176 = 0.\nAnswer: -236, -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 27557580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21631*i + 31174.\nAnswer: 21631","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**4\/12 - 5*k**3\/2 + 20*k**2 + 21*k. Let j be d(13). What is the highest common factor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -3. Let p(z) = -1 - 2*z - 2 - 2*z + c. Let i(f) = f**2 + 13*f + 4. Let h be ((-21)\/(-6))\/(1\/(-2)). Give h*p(w) - 2*i(w).\nAnswer: -2*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*f - 7862 - 10303. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18381.66 + -18361.65991. Let o = 20 - w. What is o rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxs when three letters picked without replacement from xxxvmmxmvmxmxxxsmmx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (6 - (2 + 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 16*h**2 + 29*h + 36. Give r(-14).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -21. Let t(n) = 5*n**3 - 4*n**3 - 8*n - 17 + 5*n**2 + 11. What is t(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1243188039*n**2 + 148982676*n.\nAnswer: -2486376078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*f**3*v + 2*f**3 + 121*f**2*v - 42246*f - v wrt f?\nAnswer: 54*f*v + 12*f + 242*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 6.33. Let u = 3.67 - x. What is the closest to 2\/7 in u, 0.5, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 22. Let w = d - -5. Solve 5*n - 29 = n + 5*i, 0 = n + i + w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -140*i - 11235 + 8575 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -731608840 to the nearest 100000.\nAnswer: -731600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1252272 and 6261360?\nAnswer: 6261360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17350391, 17350385, 17350375, 17350361?\nAnswer: 17350343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -739479\/44 less than -16805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (8 - 9) + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3\/4*j + 5\/4*j**2 - 9\/4 - 1\/4*j**3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 406 = -2*m - k, k - 2 = 0. Suppose f - a + m = 4*f, 0 = -2*f - 5*a + 63. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0 - 5 - 29*k + 4 to r*k + v and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81.28 - -80.28. Let c = 0 - 0. What is the smallest value in -0.3, -0.8, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 4. Let h(n) = 14*n**3 + n + 0*n**2 + m*n**2 - 36*n**3. What are the prime factors of h(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 1. Let g(u) = -7 - 4*u + 2*u**2 - 8*u**2 + 5*u**2. Let v(o) = -g(o) + 4*z(o). Determine v(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(310*(-42)\/(-420)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -185*i + 9. Let o be c(3). Let m = o - -797. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l. Let q be v(-3). Suppose 0 = -g - w + 6, 2*g - q = -w - 4*w. Find the first derivative of -g*x**3 - 3*x**3 + 2 + x**3 - 8 wrt x.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*j + 48, -u - 27 = 3*j - j. Let g(c) = -c**3 - 14*c**2 + 11*c - 14. What is the units digit of g(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 211121?\nAnswer: 211101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31920\/(-528) + 61)\/((-49)\/(-77)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is e88 (base 16) in base 9?\nAnswer: 5083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2425)\/970)\/(50\/(-48))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 3*a - a)*(a - 3*a + a) + 4 + 20*a**2 - 6*a**2 + a**2.\nAnswer: 14*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11028527 and 10.\nAnswer: 110285270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1705*q**2 + 58*q - 15. Let p be u(-45). Round p to the nearest one hundred thousand.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 90.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16606417 (base 8) to base 10.\nAnswer: -3869967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.06 + 1.14. Let r = w + -0.08. Let x = -17.4 - -18. Which is the biggest value? (a) r (b) x (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -3\/7, 0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23921\/30 - 802. Find the common denominator of n and 34\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -13 + 5. Suppose 2*r + 19 = 5*a - 19, 18*a = 23*a + 2*r - 82. Calculate the lowest common multiple of a and (-8)\/(0 + (-2)\/m).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89810327 * -4\nAnswer: 359241308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7613064 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 2. Let u be k(-3). Suppose u*q - 174 = q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -1\/6 (c) 3 (d) -0.04 (e) -134\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**3 - 3*j**2 + 3*j + 2. Let b(m) = -8*m - 8 + 3 - m**3 + 2*m**3 + 8*m**3 + 8*m**2. Give 3*b(g) + 8*r(g).\nAnswer: 3*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 69*b**2 + b - 3. Let s(w) = -62*w**2 - w + 3. Calculate 5*c(n) + 6*s(n).\nAnswer: -27*n**2 - n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 125 + 37. Let b = 32 + -20. What is the remainder when t is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.3 - 8.34. Let g = m - -0.04. Let z = -1273.1 - -1273. Which is the second biggest value? (a) g (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6366099 = -69*v + 3111672. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2864 = z, -4*z + 935 = -d - 16. Let w = -624 - d. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 5*r = 16, 5*r - 12 = 2*p + r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 14) in base 7?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -449, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = t + 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 39.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14100)\/94 + 85\/(18 + -13).\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzz when three letters picked without replacement from {s: 2, g: 1, z: 7, u: 8, j: 1}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29934592 by -3772.\nAnswer: 7936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 332.13 and 14.\nAnswer: 346.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-14*i + 18*i + 18*i)*(-i + 1 - 1) + i**2 + 0*i**2 - 3*i**2)*(2*i + i - i + 1) as j*i**2 + d + b*i + z*i**3 and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 865, 864, 863, 862, 861?\n\"Answer: -g + 866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 45 + v - v**2 - 43 + 0*v. Let k be g(2). Solve 4*q + k*q = -8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/9 + 44198*a\/9 - 14732\/3.\nAnswer: -2*(a - 22098)*(a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f + 2. Let i be (-3)\/(3 + 0) + f. Let j be (-1)\/(-4)*4*-5. Which is the second biggest value? (a) j (b) -1\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 - 75870*a**3 - 286976460*a**2 + 6350256440*a.\nAnswer: -5*a*(a - 22)*(a + 7598)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 111\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 13) to base 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -8657241?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + -65. Let y = -2 - -3. Which is smaller: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 230 + -227. Solve o + 26 = 2*l - 4*o, -i*l - 2*o + 1 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**3 + 23352*g**2 + 7121268*g + 546511504 = 0?\nAnswer: -23044, -154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/3 - 58423*s**2\/3 + 526050*s = 0. Calculate s.\nAnswer: -58450, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5)*n)\/n)\/n*n*n**(5\/2)*n*(n*n\/n**0*n)\/(n**(-7)\/n)*n**(-7)\/(n*n\/(n**(1\/4)*n))*(n**(-1))**(-2\/17) assuming n is positive.\nAnswer: n**(127\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + a - 424 = 0, 3*m - 5*a - 760 = -98. Do 214 and m have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25425 - 25433. Let d be ((-2)\/6)\/((-6)\/198). Let n(g) = -d*g - g**3 - 2 - 9*g**2 + 3*g + 4. Give n(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -211.00027 + 211. Round i to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyyuuyayyyutt. What is prob of picking 1 u, 1 a, and 1 y?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 2, -1\/6, -5, -24935?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, h: 2}. Give prob of sequence qq.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 777978?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18906 times 345?\nAnswer: -6522570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-5))\/(10\/25). Find the third derivative of -w + 9 - 4*h**6 - 5 + h**2 wrt h.\nAnswer: -480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 + 0*t**2 + 4*t**2 + (-5 + 3 + 1)*(-t + 2*t**2 + t) - t**2 + 0 + 0 + (-t**2 - 5*t**2 + 3*t**2)*(11 - 13 - 10).\nAnswer: 34*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44099993061\/6516922208 - 3\/18461536. Let z = r - -6\/353. Calculate the common denominator of 321\/(-20) - 25\/125 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55724 = -2*p - 4*d, -6*p - 139321 = -p - d. Let f = -1 + p. Let q = 3227865 + f. What is q rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254453539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 92602355 to the power of 1\/2, to the nearest integer?\nAnswer: 9623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 692 - 44 = 24*f. Suppose -21*o - 36 = f. Put 4, 6, 2, o in descending order.\nAnswer: 6, 4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 16*i**2 - 6*i - 185. Let m be f(17). Let q(u) = -u**2 + 10*u + 2. Let z be q(10). Let k be 0 + (-1 - (z - 3)). Solve h + k*h + m = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l**2 + 21*l - 21. Let c(a) = 2*a**2 + 5*a - 5. Give -21*c(s) + 5*u(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584*x + 600*x - 64 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-1 - -3 - -8). Let y(p) = 4*p**2 + r - p**3 + 4*p**2 + 1. Let l be y(8). Calculate the greatest common divisor of l and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190803621.\nAnswer: 3, 63601207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8577*n*t**4 - 2*n*t**3 + 4*n*t**2 + 2*t**2 - 27*t wrt t.\nAnswer: 205848*n*t - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-34656)\/(-30))\/8 + 6\/(-15). Does 19 divide (-3422)\/(-9) + 4\/q*-8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 20.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2953, 22063, 73881, 174745, 340993?\nAnswer: 588963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9828 divided by 2457.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 - 5*g**4 + 5*g**4 + (g - 6*g + 4*g)*(0 + 0 + 2)*(-2*g**2 + 2*g**2 + 2*g**3) + (-2*g**2 + 3 - 3)*(3*g**2 + g**2 + 4*g**2).\nAnswer: -19*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146281 = -20*r + 146561 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/26789 smaller than -489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17264 - 3?\nAnswer: 17261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x + 10. Let k(q) = -2*q - 5. Let y(w) = -5*k(w) - 3*p(w). Give y(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2125086?\nAnswer: 2, 3, 354181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 69, 124, 169, 198, 205, 184?\n\"Answer: -j**3 + j**2 + 59*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c - 5*c - 10*c + 35*c - 16*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(1\/(-55) + 0). Is 43 a factor of (-9449)\/t - 2\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, -60, 5, 3 in descending order.\nAnswer: 7, 5, 3, -1, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*f + 11, 17 = -5*c + 4*f + 47. Suppose -2*x + c*b = -3*b - 45, 5*b - 25 = -5*x. Solve -g - x = 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + h**2 - 12*h - 12. Calculate n(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*o**4 + 1779*o**3 + 8573*o**2 + 88759930?\nAnswer: 12*o**3 + 5337*o**2 + 17146*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 - -2?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -1 (c) -161 (d) 0.2 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756 is divided by 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2108*i + 50. Let o(t) = 22*t**2. Give y(o(g)).\nAnswer: -46376*g**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-214)\/1284 + (0 - -3 - 196\/66)?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 56 = 4*x, -j + 54 = 3*j - 2*x. Suppose 5*o + 35 = 6*q - 3*q, -j = -5*q - 3*o. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - 44. Let b(j) be the second derivative of -3*j + 0 - 5\/6*j**3 + 1\/4*j**4 + 1\/20*j**5 - 2*j**y. Calculate b(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -425*g + 21. Let j(k) = 426*k - 20. Let c(a) = 2*j(a) + 3*y(a). Is c(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*j**2 + 10*j**2 - 30*j**2)*(-2*j**2 + j**2 + 0*j**2).\nAnswer: 93*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 537300 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**21*d\/(d\/d**(-18\/11)) assuming d is positive.\nAnswer: d**(213\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -288 - -293. Suppose 3*k = 5*v + 2*k - 504, -i*v = 2*k - 507. Let a = -35 - -87. What is the remainder when v is divided by a?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3 = -3*d. Suppose 2 = -a, -d*b - 5*a + 40 = 2*b. Suppose x = -t + 15, 0*x - x + 4*t - b = 0. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020812158 to the power of 1\/3, to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-119) + 35\/60*950\/323.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 4306?\nAnswer: -4306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + 9*p + 8*p + 4*p in the form y*p + f and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -35*x**3 - 2*x**2 - 7*x - 3. Let k(m) = -34*m**3 - 2*m**2 - 9*m - 4. Give 4*k(v) - 5*n(v).\nAnswer: 39*v**3 + 2*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60352 and 984.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -1\/2*b**3 + 0 - 21*b + 1\/2*b**2. Let c(u) = u**2 + 4*u - 8. Let d be c(-6). What is f(d)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -858, -27899, 1 in ascending order.\nAnswer: -27899, -858, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 + -0.01. Let q = s + -0.25. Let t = -704 - -704. What is the biggest value in -0.1, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) -0.4 (b) -8 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 384.2206 minutes?\nAnswer: 23053236000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6922031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 212199*o**4 - 315*o**2 + 59426*o - 192?\nAnswer: 2546388*o**2 - 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2088731 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x + 0*x + 2*x + 2*x - 1 + 29*x**2. What is the remainder when y(-1) is divided by (0 - (-8)\/(-6))*-12?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*b + 119*b = 8*b - 1755. Let i(z) = 3*z**3 - z**2 - 20. Let j(w) = -7*w**3 + 3*w**2 + 40. Calculate b*i(h) - 2*j(h).\nAnswer: -h**3 - h**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(-3 - 1 + 1)*(n + 0*n + 0*n) + 40*n + 123*n + 723*n.\nAnswer: 883*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-1\/8)*p))\/p*p**(-1\/7)\/p*p**8*(p\/(p**(2\/9)\/p))\/p*p)\/((p**5\/(p*p*p\/(p*p**(-4))*p*p))\/(p**(-8)*p**(-7)\/p)) assuming p is positive.\nAnswer: p**(-2641\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 629.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i + i)*(9749*i - 10656*i - 6145*i).\nAnswer: 7052*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 250\/(-15) - ((-2)\/(-3) + 28\/(-21)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*x - 13 = 287 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 3. Let f be t(0). Find the second derivative of -f*u + 3*u - u - 7*u**3 wrt u.\nAnswer: -42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.003*21629\nAnswer: 21693.887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2623*m - 112782. What is j(43)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 5*y = 20, 6*s - s = 2*y - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -36\/2536717 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 1:07 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 262048783 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449031 is divided by 89806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11300300132 (base 4) to base 8\nAnswer: -5606036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43265.1007 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1091*y - 815926 + 729737 = 0 for y.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -14*8\/((-32)\/10). Suppose z*q = 48*q - 3354. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6972.037 to the nearest 100.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-7845)\/(-39) - 1 - (-122)\/(-793)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -419*l = -414*l - 40, -5*z + 4*l - 17 = 0. Factor -z*h + 0 + 7\/4*h**2 - 1\/8*h**3.\nAnswer: -h*(h - 12)*(h - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110213140 (base 5) to base 14.\nAnswer: c56b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/30*6\/(-4). Let h be 4 + (3 - 7 - (4 - -1)). Which is the closest to l? (a) -0.1 (b) h (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -167 - -519. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 12*z**3 + 3*z**2 - 5. Let p be l(-5). Let q be (-4)\/(-18) - p\/(-117). Let t = -12 - q. Solve 0 = 2*j + 3*a - t + 8, 0 = 4*j + 5*a + 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 20*h**2 + 18*h + 23. Let c be b(19). Suppose -c*i + 4*w = -3*i - 224, 5*w = 5*i - 1045. List the prime factors of i.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3435017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from {p: 4, j: 1, s: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1320287246?\nAnswer: 2, 47, 14045609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -12729.8 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -45*b. Let g(v) = -2*v**2 - 190. Calculate p(g(y)).\nAnswer: 90*y**2 + 8550","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1122079?\nAnswer: 7, 157, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*i - 6*i - 3*i - 8*i - 2 to the form d + b*i and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 350\/42 + 19085\/(-4164)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykzkdyzkzdkzk. Give prob of picking 2 y and 1 k.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3617*h**2 + 35*h**3 - 3617*h**2 - h. Calculate i(-1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -623510.092 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8638.246m to millimeters.\nAnswer: 8638246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -6.7. Let f = 20 - 15. Suppose 20 = -f*b - 5. Put h, b, -4 in decreasing order.\nAnswer: h, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3*(1 + 29). Let g be (18\/15)\/(32\/i). What is the nearest to -0.4 in g, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4)*8\/(-6). Let o(n) = 0*n - 4*n - v*n + 4*n. Let r(y) = y + 5. Let t(b) = -1. Let u(p) = 3*r(p) + 15*t(p). What is u(o(w))?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -25, 18, 1\/2, -2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*p = 237*p + 3339 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 25*n**2 - 3*n - 10. What is z(8)?\nAnswer: 1566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/169, -1669, -0.5, 5, 2, -3.\nAnswer: -1669, -3, -0.5, 2\/169, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k = -26*k - 780. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3816 = 4*t + 5*t. Suppose t = -11*q + 380. Which is bigger: -64 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) 2.2 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-92588)\/(-10) - -13*144\/(-1040).\nAnswer: 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/5 - 371*m\/5 + 746\/5 = 0. What is m?\nAnswer: -373, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1659 = -5*q + 406. Suppose -3*n = -4*z - 612, -2*n - 5*z = -6*z - q. Suppose 4*d + 5*o - 73 = n, 3*o = -2*d + 139. Does 37 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1052 and 405809.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 7*m**2 + 6*m + 3. Calculate the remainder when k(7) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -175.1 + -25.9. Let l = b - -201. Let s be (2 - 0)\/(9\/(-3)). Put -5, 1\/3, l, s in descending order.\nAnswer: 1\/3, l, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205215352 to the power of 1\/4, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 225*r**2 - r + 1. Let o be p(1). What is o rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188283 is divided by 1682.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (27 - -7 - 24).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((28\/(-8))\/7)*(-65)\/13?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 0*o**5 + 0*o**4 + 263\/42*o**7 - o**3 + 129*o + 3\/2*o**2 + 0*o**6 + 0. Find the second derivative of i(m) wrt m.\nAnswer: 5260*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*n**3 - 10*n**3 - 16*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4299509453 to the nearest integer?\nAnswer: 65571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10529, -21055, -31581, -42107?\nAnswer: -52633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjqqjkjj. Give prob of sequence qk.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**2 + 46*q. Let w(i) be the first derivative of -30 - 107 - i**3 - 96. Give s(w(b)).\nAnswer: -36*b**4 - 138*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1370 in -8\/5, 2\/7, 5, -4, -0.06?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 c when two letters picked without replacement from nqrfcffrfrcrfqrcrr?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -75, -168, -263, -360, -459, -560, -663?\n\"Answer: -o**2 - 90*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8652 = -4*s - 3*m, -4*m + 2585 + 6063 = 4*s. Suppose 4*r - 998 = s. What are the prime factors of r?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 3*c**2 + c**5)*(6 + 7 - 18).\nAnswer: -5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/9 - 8999*q**2\/3 - 80998*q\/9 - 6000.\nAnswer: (q - 27000)*(q + 1)*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 + 36*i\/5 - 64\/5.\nAnswer: -2*(i - 16)*(i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6299.313 rounded to 0 dps?\nAnswer: -6299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 672298847 to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v - 2 + 2)*(23*v**2 + 42*v - 42*v) + (-v + v**2 + v)*(v - 3 + 3) + 6*v**2 - 3*v**3 - 6*v**2 as u*v + g*v**2 + c + n*v**3 and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {b: 6, w: 2, n: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*m - 5*m + 41 = 0, -5*q - 5*m = -55. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-9) - (-1494)\/162. Solve 0 + 9 - j*n + 4*n**2 - 7 + 0*n**2 = 0 for n.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1 + -6) - ((-16 - -11) + 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17))*-2 + -1 + 1.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/117 + (-111)\/54?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 5*r**2 + 2*r**2)*(-4*r**2 + 2*r**2 - 2*r**2)*(r - 12*r + 2*r).\nAnswer: -36*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b + 80 = 5*b. Let g be -127 + -1*(1 + -1). Let a = b - g. Calculate the highest common divisor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -341541?\nAnswer: 341540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/1 + (-4514)\/(-22). Let d = 203 - b. Let t = d + 32\/55. Does t = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14942.43855 + -14904.43854956. Let m = 477 + -515. Let v = m + a. What is v rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15903, 16017, 16137, 16263, 16395?\n\"Answer: 3*b**2 + 105*b + 15795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(-1)\/(-4)*1\/(-2). Suppose -9 = -2*k - 4*d - 1, p = -4*k - d + 37. Suppose 0 = -k*m + 8*m + 232. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55746+0.2\nAnswer: 55746.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -10\/3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 44*k + 104. Is 2 a factor of j(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (4\/30 - (-2547)\/135) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16689526.1 to the nearest 10000.\nAnswer: 16690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 >= -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 - 89 = -3*q. Suppose 8 = 6*a - 4*a. Suppose -q = -3*w - 4*m, 88 = a*w - 4*m - 96. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9 and 64106904048?\nAnswer: 64106904039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -242*b + 159491. Give g(659).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = i + 42, 0 = -5*i + d + 10 - 198. Let b = i - -42. Suppose -4 = b*f, 5*f = -j + 57 - 2. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 294 = -1038. Are 147 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5*s = -5*y - 8, 2*s + y - 4 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a day in hours?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*j = -3396 + 4215 + 6749 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48584 to the power of 1\/2, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 3*s**2 - 2*s**3 + 4*s**3 - s - 1. Let j(f) = -6 + 4*f - 5*f - 2 + 3. Let r be j(-7). Give m(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k**3 + 38*k + 281 wrt k?\nAnswer: -3*k**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 11*c**3 - 37*c**2 - 4. Let z(s) = -22*s**3 + 76*s**2 + 9. Calculate -9*t(u) - 4*z(u).\nAnswer: -11*u**3 + 29*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/121 or -2?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**8)**25 assuming k is positive.\nAnswer: k**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h + 11. Let l(b) = b + 30. Let g be l(-10). Suppose -83 + g = -7*q. Let x be k(q). Which is smaller: 66 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a - 34. Let b be d(19). Let c(f) = -f**3 + 3*f**2 + 4*f - 3. Calculate c(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13736*o**4*y**2 + 4*o**4*y - 8*o*y**2 + 3501*o*y wrt o.\nAnswer: 164832*o**2*y**2 + 48*o**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 325747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003761 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1001101100?\nAnswer: 1001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -126*t**3 + t**2 - t - 1. What are the prime factors of s(-1)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2551*m. Let l(o) = 7628*o. Calculate -2*l(j) + 7*s(j).\nAnswer: 2601*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -100010001110100110001 (base 2) to base 8\nAnswer: -4216461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**3 - 2*h + 1. Let v = 0 - -3. Suppose -v*z + b = -1, -3*z - 5*b = -b - 11. What is the units digit of l(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*r + 31, 3*d - 5*d - 7 = -5*r. Solve -2*k - 5*p = -d + 24, 4 = -3*k - p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - (-1 + -1)) + (1 - -1). Suppose w = d*c + 59, -2*c - 185 = -4*w - 3*c. Suppose 0 = -51*o + w*o + 376. List the prime factors of o.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 559172811 to the nearest integer?\nAnswer: 23647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 725*a + 22475. Let p be l(-31). What is f in 16\/9*f - 8\/9*f**2 - 4\/3*f**3 + p + 2\/9*f**5 + 2\/9*f**4 = 0?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(2 - (-1 - -2)). Let x(r) = r**2 - r. Let h be x(a). Is 86 + h - (-3 - -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-268)\/335)\/(44\/550*-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 68282513.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/8 of a century?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-4\/3)*c**0*(c**(-1\/5))**(3\/8))**(-32) assuming c is positive.\nAnswer: c**(196\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -485.5 + 280.1. Which is smaller: h or 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3112232 (base 4) in base 15?\nAnswer: -4112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f + 4. Let l be s(2). Suppose -5*u - 2*n + 49 = 0, -u + 223 = n + 212. Sort 4, u, -2, l in decreasing order.\nAnswer: u, 4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1915452427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12762513.\nAnswer: 3, 223, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -481, -461, -153.\nAnswer: -481, -461, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 6*n**2 - 2*n + 7. Let x be a(6). Suppose 7 = h + 5. Let w = x + h. Let u(y) = y**3 + 2*y**2 - 3*y - 3. What is u(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 6*c**2 + 4. Let d be i(-6). What is the third derivative of -d*r**5 - r**2 + 2*r**2 + 3*r**5 wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 + 10*k + 8. Let a = -16 + 11. Let u = a - 1. Is w(u) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 15*p - 4. Suppose 2*j + 1 = 3. Let a be v(j). Factor -2*z + a*z**3 + 4*z**4 + 13*z**2 - z**2 - 7*z**2.\nAnswer: z*(z + 1)*(z + 2)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -13. Let t(z) = 11 - 8 - 37*z + 78*z - 42*z. Calculate t(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 9:54 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 6*z**2 + 5*z - 4. Calculate l(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65658 by 31.\nAnswer: -2118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1697 from -4269.\nAnswer: -4268.8303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8412 in 4, 2, -2\/7, 1, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.21834 grams to milligrams.\nAnswer: 79218.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.45425 months in years?\nAnswer: 6.1211875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -5 (b) -13.8 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(396)*-2*-3 - (sqrt(396)*-1*5 - sqrt(396))).\nAnswer: -72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/7 or -1310?\nAnswer: -1310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 + 1.1. Let b = -0.4 + r. Let j = 104 - 104.04. What is the third biggest value in 2\/3, j, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*y - 12518, -2*y + 4839 = -4*j + 29871. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -15*x**2 + 2323*x - 16. Is p(43) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-16 + 8) - (0 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + 31. Let q(v) = v + 29. Calculate -2*p(m) + 3*q(m).\nAnswer: -m + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-441)\/(45\/5)*-1. Suppose -14 = -n + 3*x, n + 5*x = d - 43. Solve 0 = 4*j - n*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 11:43 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 5*k**2 + 9*k + 2. Suppose 2*s - 190 = -2*x, -5*s = 19 - 4. What is the remainder when x is divided by c(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 4*s - 7. Let g(u) = -u**2 + u + 1. Suppose -5*f - 3*a + 16 = 0, 2*f = -7*a + 2*a - 5. What is f*g(i) + j(i)?\nAnswer: -3*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 + -87. What is the remainder when h is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8252 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8814.59 rounded to the nearest 100?\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*y + 30 = 0, 0 = -5*u + 5*y - 3*y + 18. Suppose 0 = 2*p - 0*p, -3*s - u*p + 75 = 0. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 6*s**2 + 21.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62075 = -31*c - 84839 - 26841. Is -5605 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 230?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -462, 7.4, -0.5 in decreasing order.\nAnswer: 13, 7.4, -0.5, -462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 4. Let z be (v + 0)\/(16\/(-24)). Let k = 2 - z. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -160, -386, -712, -1144, -1688, -2350, -3136?\nAnswer: -4052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i + 13833 = 45*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.87 - -0.13. Sort 5, r, -0.9 in descending order.\nAnswer: 5, r, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 14 - 14)*(-r + 2 - 2)*(3*r - 6*r + 2*r - 4 + 4 + r + (4 - 4 - 1)*(0*r - r + 3*r) - r + 0 + 0).\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2367 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(2\/5))**(-12)*(d\/(d**(3\/2)\/d)*d)\/(d**(-2)\/d) assuming d is positive.\nAnswer: d**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 3)\/(1\/2). Let n(d) = d**2 + 4 + 0*d - 9*d + 0*d + y*d. Determine n(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013358 to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*g**2 + 4\/3*g - 4\/3*g**3 + 0 - 1\/3*g**4.\nAnswer: -g*(g - 1)*(g + 1)*(g + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 41*z**2 - 784*z + 231. Determine v(19).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -771*h + 2 + 0 + 1707*h - 5 as b*h + s and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2101 is divided by 151?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*f - 15 - 25 = 0, -3*r - 4*f = -50. Let s be 1152\/240 + 2\/(-1 + 11). Suppose -r*h + 55 = -s*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 106, 192, 312, 472?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q - 13*q = -189900. What is q rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -16129 (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from hhhhhbhhbhhhhhbhbh.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1130*o - 568*o - 566*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 1\/300*s**5 - s + 1\/40*s**4 + 0 + s**2 + 1\/15*s**3. Let n(p) be the first derivative of u(p). Find h such that n(h) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-75)\/(-6)*32\/(-40). Let d(y) = -y**2 - 10*y + 38. What is the remainder when 129 is divided by d(r)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5272930.\nAnswer: 2, 5, 13, 47, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**5\/120 - o**4\/12 + o**3\/3 + o**2 + 3. Let t(a) be the second derivative of c(a). Determine w, given that t(w) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/2*15*32\/(-400)*-5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 6*x - 2 + (-2 + 2 - x)*(-1 + 3 + 0) - 2 + x + 0*x - 2*x.\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 13*t**3 - 34*t**2 - 8*t + 29. Let a(q) = 7*q**3 - 17*q**2 - 3*q + 16. Let x(s) = 11*a(s) - 6*g(s). Calculate x(18).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in 11458, 1\/9, -9, -2\/11, 2\/9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 3*a - 5*d, -1094*a + 3*d + 36 = -1077*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76930.65 litres to millilitres.\nAnswer: 76930650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*x + 4. Calculate the least common multiple of 3 and x - 15\/(-5) - -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5368*p - 1743*p - 6348*p + 3221*p.\nAnswer: -10238*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 380.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 410659584.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*p = 5, 5*v - 3*p + 4975 = 0. Let o be (-12)\/(-78) + v\/26. Let x = -32 - o. Let h(l) = l + 5. Determine h(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -511 = -4*x - 2*r + 789, -8 = 4*r. Suppose -x*u + 330*u - 12 = 0. Solve h = -u*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-7) + (-121)\/(-77). Let q be l + -1 + (-2 - -4). Suppose 0 = -2*w - q*f + 1 + 11, 5*f - 12 = w. Solve -w*y + y = 4, 3*z - 15 = 3*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10 and -78257078 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 6*j + 3. Let a be f(-4). Let d(w) = -4*w**3 + 3*w**2 - w - 3. Let y(m) = -3*m**3 + 2*m**2 - 2*m - 2. Let c(l) = a*y(l) + 4*d(l). Give c(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13022625 divided by 861.\nAnswer: -15125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5949 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82292, 82227, 82164, 82103, 82044?\nAnswer: 81987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9\/13, 8\/3, 3, -1, 9065\/19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18\/71 (b) -6 (c) -7.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13654 + -2?\nAnswer: 13652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 4*a**2 + 6*a + 4. What is the smallest common multiple of 80 and g(-6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 156 - 615\/4. Let i be 3\/(-45)*4\/((-36)\/(-15)). Sort i, n, 3 in descending order.\nAnswer: 3, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2)\/((-22)\/99) - -1739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 17352223?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 136\/340 + (-68)\/70. Sort 0.5, 1, o.\nAnswer: o, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34.87 - 1836.03. Round b to the nearest ten.\nAnswer: -1870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 28 + 25. Let b be 4\/(12\/(6\/o)). Factor 0*n + 3*n**b + 0 - 3\/5*n**3.\nAnswer: -3*n**2*(n - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/1930136 and -85\/7202?\nAnswer: 1930136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 19, d: 1}. What is prob of sequence xd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**5\/40 + c**4\/8 - 4*c**3\/3 - 2. Let x(h) be the third derivative of j(h). Let b be x(0). Solve 2 - 5 = b*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 7*p - 2*p**3 + 1091094*p**2 - 1091094*p**2 in the form j*p**2 + g*p**3 + n + r*p and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 2*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 400 and 1680?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttt. What is prob of sequence tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4 = -8, -v = -k + 5. Calculate the remainder when k is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 7\/(-2)*-4. Suppose -4*k - 23 = -39. Solve -2 - o = -k*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13689, -13688, -13689, -13692?\n\"Answer: -g**2 + 4*g - 13692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18536?\nAnswer: 2, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1280) + (sqrt(1280)*-3 - sqrt(1280)) - sqrt(1280)) + -5*(sqrt(20) + sqrt(60)\/sqrt(3)))\/(4*(sqrt(360) + sqrt(360)*1)*2).\nAnswer: -7*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6500870, 5, 4, 1, 2, -2 in ascending order.\nAnswer: -6500870, -2, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-7) + (-292)\/28. Which is bigger: h or -92\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4104 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 15075*j + 15227*j + 1212, 0 = k + j + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, c: 5}. Give prob of sequence crc.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 566835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -15, 2*k + 74*u - 71*u - 221333 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 7:45 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -22.92. What is the third biggest value in 0.2, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 9*m**4\/8 - 3*m**3 + 3*m**2\/2 = 0.\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q + 16. Let n(r) = 4*r - 17. Let x(z) = 4*n(z) + 5*u(z). Let l be x(-5). Suppose -2*s + 70 = 3*h - l*s, -106 = -3*h - 4*s. Is h a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 787445?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3118 + -157?\nAnswer: -3274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*q + 5*u - 4, u = -4*q - 9. Let x(l) = -l**2 - 4*l. Let f(v) = -v**2 - 3*v. Let a(g) = q*x(g) + 4*f(g). Let o(n) = 3*n**2. Calculate o(a(i)).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**6\/15 + 2*x**5\/5 - x**4\/2 - 4*x**3\/3 + 4*x**2 + 11*x. Factor d(a).\nAnswer: -2*(a - 2)**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-18)*9\/(-20)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*u - 73 = -0*r, -3*r = 2*u + 43. Let t = -9 - r. Calculate the highest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y. Let p be 5 + (-3 - 1) + 0 + 3. Suppose -p*h + 3*w = 4*w + 11, -11 = h + 3*w. Determine x(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**8\/50400 - j**7\/1575 - 2*j**6\/225 - j**5\/6 - 12*j**2. Let t(k) be the third derivative of r(k). Solve t(x) = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3621*d - 168 - 7187*d + 3642*d + 4*d**2.\nAnswer: 4*(d - 2)*(d + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 + 152*x - 4200. Calculate g(20).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10220221 - 11?\nAnswer: 10220210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 50. Calculate the smallest common multiple of z and 0 + -4 - (-108)\/6.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 8. Suppose 0 = -3*z + 5*z - 8. What is the highest common divisor of l and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (-3 + 4)*277 - -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2384 - 7*g**3 - 2384.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 6:35 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1046*i**2 - 1046*i**2 + 249*i**3 + 202*i**3.\nAnswer: 451*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 41221, -16 in decreasing order.\nAnswer: 41221, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 3\/7 (c) -0.1717 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -25*n + 127. Let o be y(5). Suppose -o*h + 2 = -h. Which is the second biggest value? (a) 4 (b) h (c) 0.11 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*(-2*(-3 + sqrt(192))*-3 + 2 + 6*(sqrt(192) + (sqrt(192) + -1)**2)).\nAnswer: 9136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 377431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.374 (b) 34 (c) 5 (d) -0.5 (e) -11 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -6. Calculate the common denominator of (-3)\/w + 17\/4 and 198\/(-40) + -7 + 7.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 564410 and 5810?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17127834.\nAnswer: 2, 3, 47, 60737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (28 + (-57 - -39) + -33 - (-14 + -1))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 4*o, -15 = -5*i + 4*i + 3*o. Suppose 0 = i*g - 11*g + 5. Are g and 1\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -175*g + 1391. Determine x(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 9) + 6 + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 - -77. Let u(d) be the second derivative of 2\/3*d**o + 0*d**2 + 0 + 2*d. Let q(s) = s. Give u(q(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6107.0303 + -6105.990300415. Let h = 1.04 - n. What is h rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 + -0.07. Let o = -0.06 + 0.36. Put o, f, 1\/6 in descending order.\nAnswer: o, 1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from wbppp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k - 5 = 0. Suppose 14 - 6 = o. Solve 4*j = -16, -j + o = l - k*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (1 + 5\/(-3)). Let d = -0.4075 + -0.1925. What is the closest to n in 0.5, -0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -587.8 - -588. Let v = 14\/3 + -4. What is the nearest to -6 in u, v, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -352 divided by 1.\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*i - 4 - 3 - 11*i - 23*i)*(-6*i - 13 + 13).\nAnswer: 768*i**2 + 42*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0 = -6. Calculate the remainder when (7\/(-3))\/((-3)\/9) is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.2 - 6. Let q = m - -0.5. Let o be 5\/(-15) - 3\/45. Which is the second biggest value? (a) o (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooododddddddddddddd. What is prob of picking 2 d and 1 o?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2 - w + 3 - 2 + 0. Let t be i(2). Does 6 divide (2 - (-9 - 0)) + t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*-3 - -1 - 0. Let s = 1772 - 1764. Let k be 1\/14*2 - 8\/(-28). What is the second biggest value in v, -2, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -769a (base 11) in base 10?\nAnswer: -10152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138402845?\nAnswer: 5, 7, 23, 171929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3337*i - 3004*i**2 + 2977*i**2 + 3337*i.\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4734, -9426, -14004, -18474, -22842, -27114?\nAnswer: -31296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 1, -52 = 4*h + 4*b - 64. Solve 3*u = 3*u + h*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 6:25 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -57, 2, 24, -2\/139?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84675 = 4*u + b, -u - 4*b = 2*u - 63490. Suppose 0 = -3*t - 26*t + u. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 13*o - 4 + 7 to the form m + i*o and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 1:28 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285, 230, 177, 126, 77, 30?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10321789.\nAnswer: 241, 42829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 816272?\nAnswer: 816272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 1\/3*k - 1\/3*k**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32020\/70 - 4\/(-7). Suppose o = 2*g - 310. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3084179 and 6699.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2. Let p(b) = -6*b**3 - 3*b**3 + 3*b**2 - 5 + 2*b + 8*b**3 + 1. Let j be p(3). Let l(t) = 7*t - j - 1 - 31*t + 2. What is l(g(f))?\nAnswer: -24*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91497 is divided by 43241?\nAnswer: 5015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1600\/1280)\/(-8 + (-86288)\/(-8448) - 4\/(-22)).\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 4*m = -1 + 14, 4*m = -4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) 2.9 (b) -5 (c) 2\/5 (d) 0.2 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1284.\nAnswer: 1\/642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 4*t**2 - 4*t**2. Let q(p) = -8*p**2. Let m(d) = -q(d) - 6*y(d). Let i(n) = -14*n. Give i(m(v)).\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 11*q - 45. Let b be (q\/(-12))\/(-1)*4. Solve -3*p + 10 = b*v - 2*v, 0 = 5*p - 4*v - 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97570227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 35*p**2 + 26*p + 681. Determine k(-35).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is baa - -2?\nAnswer: bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*m + 13*m - 8*m to the form k*m + j and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*h = -738 + 1548 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -170 + 153. Let m = 1711 - 1705. Let w(c) = 23*c**3 - 20*c - 14. Let a(x) = 8*x**3 - 7*x - 5. Give m*w(n) + u*a(n).\nAnswer: 2*n**3 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3351 minus 1?\nAnswer: -0.6649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*302.\nAnswer: 15.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3\/2 - 85*o**2\/2 - 205*o - 300.\nAnswer: -5*(o + 3)*(o + 4)*(o + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/((-10)\/(-1)))\/(((-45)\/(-70))\/((-12)\/(-28))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*v = 2*y + 8, 3*v + 2 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2\/5*h + 26\/5*h**2 + 2\/5*h**3 - 26\/5 = 0.\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*((sqrt(18) - sqrt(18)*-4) + sqrt(18)))\/(sqrt(324) + -1*sqrt(324) + sqrt(9))*5.\nAnswer: 600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 72, 487, 1630, 3867, 7564, 13087, 20802, 31075?\n\"Answer: 61*t**3 - 2*t**2 - 6*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -1\/3 (b) 3\/2 (c) 0 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from {b: 2, h: 2, z: 6, g: 3}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -11*k**3 + k**2 + 3*k - 2. Give x(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -182, -274, -366, -458, -550?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9d + -822c4?\nAnswer: -82383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)*2)\/(sqrt(275) - -2*sqrt(275) - sqrt(11)) + -1*sqrt(15)\/(2*sqrt(125) + sqrt(5)).\nAnswer: 37*sqrt(3)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 3:46 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12165710 and 510?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 672422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -2.5. Let t be ((-180)\/40)\/((-12)\/(-2)). Sort 0.2, a, t in increasing order.\nAnswer: t, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26853 (base 11) to base 10\nAnswer: 38294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**7\/525 + z**6\/50 + 58*z**2. Suppose t(i) = 0. What is i?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -0.33428?\nAnswer: -0.33428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13066540 (base 8) to base 15\nAnswer: 3c7a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -42*q**3 + 3*q**2 - 5*q + 3. Determine o(1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1692*d**3 - 745*d**3 + 3546*d**3 + (-2 + 2 - d**2)*(2*d + 0*d - 3*d).\nAnswer: 4494*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -42*m. Give w(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -174*c**2 - 2 - 174*c**2 + 329*c**2 in the form t*c + d*c**2 + f and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -391*w + 132. What is the thousands digit of m(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - p - 1. Let a(v) = -60*v - 90*v**3 - 63*v - 4*v**2 + 117*v + 93*v**3 + 2*v**2 - 6. Give a(r) - 6*u(r).\nAnswer: 9*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - 2*g**3)*(-28 + 25 - 54).\nAnswer: 114*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 655686, 5245179, 17702378, 41961135, 81955302, 141618731, 224885274, 335688783?\n\"Answer: 655642*x**3 + x**2 - 4*x + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -x + 2*x. Let f = x + 8. Suppose 0 = 2*h + f*h - 20. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 874859002?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1052 + 1058. Which is bigger: -17 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1544*u + 892*u + 1212*u)*(8 - 6*u**2 - 3 + 4*u**2) to the form j*u + d*u**3 + r*u**2 + c and give d.\nAnswer: -1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*u + 1 + u**4 - 42*u**2 + 43*u**2 to the form q*u**3 + p*u**4 + h + g*u**2 + w*u and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 55. Is 36 a factor of (-28633)\/j + 6\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + 10. Suppose 7 = t + 4*o + i, -3*o = 12. What is the units digit of (-11)\/(-2) + t\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.8792 + -0.0192. Let k = y + 0.14. Which is the fourth biggest value? (a) k (b) 0 (c) 3\/8 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*z - 16, -11*a + 9*a = -3*z - 21. Solve -a = 3*v + 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 72 = -72. Solve o = -g*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 2473312?\nAnswer: 17313184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -1, -3, -0.5, 147\/33335?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**6\/120 - 7*o**5\/60 - o**4\/4 + 7*o**3\/6 - 5*o**2\/2 + 2*o - 47. Let n(s) be the second derivative of u(s). Determine n(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13431 and 484?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.293+-429858198492\nAnswer: -429858198492.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1508 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.18 and -0.1094?\nAnswer: -0.019692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.52 - 0.12. Let o = -0.358 - -0.318. Is o >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t + 35 = 5*n, 3*t + 3*n - 33 = 0. Let g be ((-52)\/t)\/((-5)\/25). Suppose g + 31 = 3*f. Calculate the remainder when f is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-102)\/12)\/17.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -496920 - -5.\nAnswer: -496915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -j - 0 + 2, 2 = 2*o + j. List the prime factors of 7 + -6 - (-33 - o).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20604, -35932, -51260, -66588, -81916, -97244?\n\"Answer: -15328*j - 5276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1587*n - 5247*n - 11258*n + 4118*n.\nAnswer: -13974*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1580 - -42641\/27. Let d = r + 281\/54. Calculate the common denominator of 13\/9 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.546451 litres to millilitres.\nAnswer: 4546.451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 720 divided by -240\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l = -1. What is the units digit of 4*(l - 61\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 7:33 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125 - -235. Suppose 0 = 3*h - 2 - 28. What is the highest common factor of h and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 62*y**2 + y - 13. Let v(x) = -186*x**2 - 3*x + 44. Calculate -2*v(n) - 7*w(n).\nAnswer: -62*n**2 - n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100900 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i + 3*i - 20*i**2 + 98*i**2 + 30*i**2. What is the hundreds digit of k(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.06 (b) -575 (c) -0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131\/18 or 552?\nAnswer: 131\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -28*p**2 + 3*p**2 + 0 + 20*p**2 - 8 + 11*p**2. Calculate u(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.1776\nAnswer: -0.01776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134009 and 12789?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 36227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 756.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90 - 194. Let a = -72 - k. Suppose 9*v = v + a. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790959421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*f - 255*f**4 - 49*f)*(-f + 0*f - f) + (3*f - 4*f**3 - 3*f)*(-2*f + 2*f**2 + 2*f).\nAnswer: 502*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -339318 divided by 6.\nAnswer: -56553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {z: 9, v: 7}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 47 in -0.4, -0.3, 2\/11, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3 + 44\/(-8)). Put 1.1, k, -9 in ascending order.\nAnswer: -9, k, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/(-65)*10\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17739970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r**3 + r**2 - 26*r**4 + 13*r**4 - 2 + 2*r**3 + 11*r**4 + 6*r**4 to f + k*r + p*r**4 + v*r**2 + d*r**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -153*-12911\nAnswer: 1975383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 - 65. Which is the biggest value? (a) -6 (b) 0.4 (c) 2\/7 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-125859\nAnswer: 50343.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -29 + 579 + -572.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q - 7*q + 68*q - 7*q + 48*q.\nAnswer: 89*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 3*i + 12, 7 + 0 = 4*o + 5*i. Suppose 4*d - 2*s - 2*s = -8, o*d = -2*s - 21. Let r(u) = 7 - 2 - 2*u + 0*u**2 + u**2 + 8*u. Determine r(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(4\/(-10) + (-2685)\/100). Let v = y - -107. What is the closest to -0.3 in v, -0.4, -1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 174 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.158542734 to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 141076201577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/16 - (-1)\/(-2). Let z be (-4414)\/(-39) - 2\/(-3). Let l = z - 114. Which is greater: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 3:13 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hghhhhhh. What is prob of sequence hg?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163301 is divided by 4651.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-890)\/623 - (-1 - -1)*((-28)\/(-8) - 3)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.49 * -730400\nAnswer: -357896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54440?\nAnswer: 2, 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + 39. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from {e: 2, f: 1, i: 1, a: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(408))\/sqrt(8))\/(5*sqrt(3)*2).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-5)\/((-15)\/(-9)). Let n be 1*3\/j + 732\/36. Solve -16*d + 20 = -n*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2073819529 to the nearest integer?\nAnswer: 45539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -2*a**5\/5 - 3*a**4 - 2*a**3\/3 + 24*a**2 - 32*a + 22. Factor k(j).\nAnswer: -2*(j - 1)**2*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4097.41892 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -241, -475, -719, -979, -1261, -1571?\n\"Answer: -u**3 + u**2 - 230*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5385 + t - 4937 + 10322.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30922 is divided by 10275?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5786357.47*2.\nAnswer: 11572714.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10800.34095 - 10798. Round q to 1 dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2476 and 22903.\nAnswer: 91612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 11:20 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6*(-6)\/4. Let d be (10\/(-5))\/(q\/1). Let f(h) = 35001*h - 2. Let w be f(d). What is w rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000053229 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12266 is divided by 826.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9838929.5 rounded to the nearest 10000?\nAnswer: -9840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 6*v - 4*v - 24, 76 = 4*v + 3*y. Which is smaller: v or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a**2. Let l(c) = 3061*c - 2. Calculate l(s(t)).\nAnswer: -24488*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1010 + 1939. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 9*q - 6. Let b be n(8). Suppose 4*s - b = 3*z, -4*s + 2 + 10 = 2*z. Solve f - z*d + d - 7 = 0, f - 5*d = 23 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*((-3)\/2 - (-80930)\/20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1720, 1763, 1806, 1849?\nAnswer: 1892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1177 and 6955?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 381, 686, 991?\n\"Answer: 305*q + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 5, 0.192, 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, b: 1, q: 4, s: 3}. What is prob of picking 2 r?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*n = 10815, 0 = 2*d + 56*n - 60*n - 7226. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58685077 or 58685079?\nAnswer: 58685077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*a**3 - 76*a**3 + 204*a**3 + 2*a**2 - 54*a**3 - 83*a**3.\nAnswer: -54*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -208.4 + 208.5. Which is greater: k or 3422?\nAnswer: 3422","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6*(-2556)\/(-6). Let z = p + -1276\/9. Suppose 2 = -5*x - 2*y, -4*x + 4*y + 3 + 1 = 0. Is z less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 38255 = -2*n, 4*g + 5*n = 32184 - 1597. Suppose g - 129 = 9*f. List the prime factors of f.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -6. Suppose -3*w = -4*n + 98, 5*n = t*w - 2*w + 119. Suppose n = 5*j - 17. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 2:10 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1659 times -1.9?\nAnswer: -3152.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22120000001120 (base 3) to base 14.\nAnswer: 865007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n - 28*n + 32 = 0. Calculate the least common multiple of n and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7, 18, 45, 94, 171, 282, 433?\n\"Answer: r**3 + 2*r**2 - 2*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1556 (base 10) to base 6.\nAnswer: 11112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -1632.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - a - 1. Let i(f) = 5*f - 15. Let n be i(7). Let k = -19 + n. Let h(x) = -2*x**2 + 3*x + 2. Let j(m) = k*h(m) + 4*o(m). Calculate j(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 divided by 49?\nAnswer: -143\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23 + ((-24)\/1)\/6. Let c = -1405 + 2374. Is 17 a factor of (2\/3)\/(r\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484889.\nAnswer: 61, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c + c)*(71*c**3 + 9*c**3 + 4*c**3) - 2*c**4 + 4*c**4 - 4*c**4.\nAnswer: 82*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (15 - 4) - -3 - (-32 - -3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0164? (a) 3 (b) -3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -575232.7 to the nearest 10000.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + 11*x - 4. Let m be c(-8). Let o be ((-9)\/m)\/((-2)\/8). Solve -3 = -i + o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.66294 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((80\/(-8))\/(-100))\/(276\/230)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 3*o**2 - 5*o - 5. Is h(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-4)\/18 - (-202)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185451870 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33604 and 1.\nAnswer: 33604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 714? (a) -1\/6 (b) 2\/3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 8*p = -q - 9, -2*p - 3*q - 13 = 0. Let o(v) = v + 11. Let c be o(-5). Let i be c*4*(-3)\/(-984). Which is smaller: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1338187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0*t - 10. Let s(v) = t*v**2 - 4*v - v**2 - 1 + 4*v. What are the prime factors of s(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 12*k + 13. Let z(r) = -3*r**2 - 23*r + 27. Let m(c) = 5*o(c) - 2*z(c). Let d = -4407 - -4421. What is m(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 3. Let r(t) = -t**3 + t - 1. Let s be -12 + (-2 + 2 - -1). Let d be 0 + 6\/9 - s\/(-3). Let y(g) = 4*g**3 - 3*g + 4. Determine d*r(j) + z*y(j).\nAnswer: -j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389734?\nAnswer: 2, 194867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -39863021.6693719 and 0.5.\nAnswer: -39863021.1693719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*u - 114 = -285*u + 5*r, -35*r = -4*u + 80 + 94 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*u, 5*u + 8 + 10 = 2*y. Calculate the remainder when y is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r. Let n(v) be the first derivative of -v**5\/20 + 7*v**2\/2 + 8. Let o(g) be the second derivative of n(g). Calculate o(z(m)).\nAnswer: -75*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 39*g - 152. Let b be d(4). Suppose -v + b*u - 156 = -5*v, 0 = v + 5*u - 35. What is the greatest common factor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 27 = -5*z, -13*d + 8*d + 3*z = 20 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 - 4396*i**3.\nAnswer: 2*i**3*(i - 2198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62973*p + 63002*p = -29 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7680 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -12*s**3 - s - 1. Let g(x) = -x**2. Let f be g(-1). Give k(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 18 = -v, 3*v - 3*o = -v + 3. Suppose 5*r - 20 = 15. Suppose r = 2*s - s - 2*g, -v*g + 72 = 4*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 632256.\nAnswer: 2529024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*y**3 - 49*y**3 - 34*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 815466 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -102. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/375 and -74\/225?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -w - 38, 3*d = 8*d - 3*w - 93. Let o be d\/14*(0 - -2). Which is the third smallest value? (a) 7 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -303*g**4 + 89 wrt g?\nAnswer: -1212*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746201555 is divided by 2313?\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -17 + (1 + -6 - -3 - 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.3, -5, 126?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1560*t + 4685 wrt t.\nAnswer: -1560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (8 - (-10 - -12))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7*d = -3*r - 280, -r = 4. Let a = d - -71. Suppose 5 = 2*h - a*z - 7, 2*h - z = 3. Let x(y) = y - 1. Give x(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2 + 42. Let l be 5\/25 - 8\/r. Calculate the greatest common factor of l and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48373171 is divided by 68.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*w + 10, 2*s + 4*w - 8 = 12. Solve -s*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 8*l - 3. Suppose -5*p + 21 + 33 = -3*z, -5*p = 5*z + 50. Let r(o) = o**2 + 11*o - 19. Let t be r(z). Suppose 2*s = t*s - 15. What is h(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -772*x + 2891. What are the prime factors of m(-39)?\nAnswer: 32999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 118, 254, 442, 682, 974, 1318?\nAnswer: 1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**5\/13 - 476*k**4\/13 + 9216*k**3\/13 = 0.\nAnswer: -256, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(-85 + 58 - -29)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 4*s + 4. Let q = 30 + -23. What is the remainder when q is divided by o(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 5*m**7\/42 - 2*m**6\/5 - 14*m**5\/5 + 56*m**4\/3 - 40*m**3 + 32*m**2 - 8*m. Factor l(r).\nAnswer: (r - 2)**3*(r + 4)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 88\/3 of a day?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*g - 360*g + 733*g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kllkllllkllklk. What is prob of sequence lkll?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -14*r**2 + 87*r - 15. Determine l(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 572 * 792\nAnswer: 453024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 0.1, 1, -683\/11.\nAnswer: -683\/11, 0.03, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 - 28) + 52 - 19?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 54120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((24\/10)\/(10\/15))\/((-56)\/26880*-128)\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**6)**(-1\/29)*(b*b**(9\/2))**42 assuming b is positive.\nAnswer: b**(6692\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 bigger than -7\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -3173*i + 3176*i + 114*h, 2*h = 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/5 + 3\/10. Let z(m) be the second derivative of m**4\/12 + m**3\/6 - m**2\/2 + 3*m - 53. Let t be z(-1). What is the second biggest value in 1, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2530826 to 3 decimal places.\nAnswer: -0.253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 167 + -292. Let r = j + 374. What are the prime factors of r?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w + 2724 = -2124. Let m = -199 - w. Solve l = 4*l + m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75168 and 6264.\nAnswer: 75168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 2*c - 5. Let l be t(4). Suppose 0 = -4*x + 12, -l*x = 3*s - 25 - 8. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 489.25539 seconds?\nAnswer: 0.135904275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/61179 and -52\/69.\nAnswer: 1407117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2.033 + -1933384475\nAnswer: -1933384472.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 396 = -2*c + 330, 0 = 5*c + 5. Let b = v + -171. Calculate the remainder when 42 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-2835)\/(-18))\/21)\/(3\/2). Let t(b) = 3*b**2 + 3*b + 3. Let l(z) be the first derivative of 7*z**3\/3 + 3*z**2 + 7*z - 2. Determine y*t(m) - 2*l(m).\nAnswer: m**2 + 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-16))\/((-357)\/(-2856))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -546 + 546. Let r(j) be the second derivative of 5*j + 0 - 1\/48*j**4 + 0*j**2 + i*j**3. Solve r(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*f - 9. Suppose 60 = -w + f*w. Let h = w - 7. Which is the second biggest value? (a) -5\/6 (b) h (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (72\/15)\/(-4). Let c(q) = -q**3 - 3*q**2 + 138*q + 282. Let u be c(-2). Factor -2\/5*s**3 + i*s**4 - 1\/5*s**u + 2\/5*s + 0.\nAnswer: s*(s - 2)*(s - 1)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**4\/12 - 2*d**3\/3 - 7*d**2\/6 - 640. Factor m(x).\nAnswer: x*(x - 7)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - ((sqrt(80) - (sqrt(80) - (sqrt(80)*2 - sqrt(80))) - sqrt(80)) + sqrt(80) + sqrt(80)))\/(sqrt(432)\/sqrt(12)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millennium in months?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107184 + 304*f + 107184.\nAnswer: 304*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/9, -6\/11, -1\/2, 0.0884 in decreasing order.\nAnswer: 2, 0.0884, -2\/9, -1\/2, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56 + 22*i**4 + 56 + (0*i + 0*i - 2*i)*(2*i**3 - i**3 - 3*i**3) + 0*i**4 + 2*i**4 - 4*i**4.\nAnswer: 24*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/9)\/b)\/b)**8*(b**(-4)\/b*b)\/b**(-2\/7) assuming b is positive.\nAnswer: b**(-1130\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(204)*6)\/(5*sqrt(108)) + 4)**2 - (0 + (5 + -1 + sqrt(153) - (sqrt(153) - (sqrt(153) + 1*sqrt(153))*-2))).\nAnswer: 572\/25 + 28*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -6*o - 5*s - 69, 0 = 3*o + 3*s - 18. Let f(b) = b**3 + 2*b**2 - 2*b - 1. Let m be f(2). Is o <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*q + 3 - 65*q + 0 as l + t*q and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 2278?\nAnswer: -2282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**11*a*a*a)\/(((a\/a**(3\/10))\/a)\/a*a*a)*(a**1*a*a)\/a*a*a*a*a*a**(-4\/13)*a assuming a is positive.\nAnswer: a**(-1\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, o: 2, q: 2, m: 5}. What is prob of picking 1 q and 1 o?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**4\/2 + 1816*z**3 - 4262133*z**2\/2 + 792572517*z + 4832546400 = 0?\nAnswer: -6, 800, 1419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51123 divided by -5.\nAnswer: -51123\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5346, -10692, -16040, -21390, -26742, -32096?\nAnswer: -37452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63151599 smaller than 63151600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 28 = 7*j. Let f(p) = p + 9 - 3 + p + 2*p. Let d(m) = 8*m + 11. Let a(n) = j*f(n) - 4*d(n). Differentiate a(v) wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*((2 - 10) + 33)*3\/(-15). Let p(j) be the third derivative of 0*j - 1\/30*j**o + 0 + 11*j**2 + 0*j**4 + 0*j**3. Let r(m) = 3*m**2. Calculate r(p(n)).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 50 - (12 - (-1 + 10 - 15)) - (-10 + 1)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7120 and 4448?\nAnswer: 1979360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 265652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 18, l: 1}. Give prob of sequence loo.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oonn when four letters picked without replacement from {e: 4, n: 8, o: 8}?\nAnswer: 392\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 5263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.121953 + 16.96.\nAnswer: 16.838047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 9:09 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -22*y. Let k(a) = 25*a**2 + 12. Let h(s) = -26*s**2 - 14. Let j(v) = -6*v - 19. Let g be j(-2). Let z(p) = g*k(p) - 6*h(p). Determine t(z(b)).\nAnswer: 418*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*a - 3*a - 4*a)*(0 + 0 - 5)*(3 - 4 - 1 + 0 - 4 + 6 + (2 + 3 - 3)*(0 - 1 + 0)) in the form z + n*a and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3329, -6662, -9995, -13328, -16661?\nAnswer: -19994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 4504, -1, 5, -2 in descending order.\nAnswer: 4504, 37, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/((sqrt(30)*1)\/sqrt(5)))\/(sqrt(30)\/(sqrt(120)\/(sqrt(24)\/sqrt(2)))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5217 + 5227. What is the highest common divisor of 1805 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -171*f + 1500. Determine k(9).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*n = -140, -2*r + 137 = 27*n - 26*n. What is the smallest common multiple of r and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -7. Let i = s - -11. Let f = i + 2. What is the third biggest value in 5, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47825247.00000005 + 47825246. Let q = u + 1. Round q to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18880 - 18879.99968437. Round n to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2 + 9*z + 2. Let f be y(12). Let l = 222 + f. Round l to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {k: 3, t: 4, a: 7, x: 1, e: 1, d: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from tttttkttkttt.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 23, 100 in decreasing order.\nAnswer: 100, 23, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2826*w - 1443*w + 4310*w + 8353 + 145358 = 0 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 8 + 5*(-8)\/(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -153 smaller than -153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -3 (c) -12 (d) -2 (e) 0.5 (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 - 6*q + 6*q)*(86*q - 140*q**2 + 67*q**2 + 71*q**2).\nAnswer: -10*q**4 + 430*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1935 is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 1. Let c(l) = l**3 - 5*l**2 - 3. Let m(f) = -2*f**2 - 1. Let o(t) = 2*c(t) - 5*m(t). Let j = -157 - -156. What is j*h(q) - o(q)?\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 7:52 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.4, -0.37, -934?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -3)*(-14)\/(-21). Suppose 67 = f*i - 5*r, r = -2*i + 4*r + 57. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288 = 20*r + 17*r - 61*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**5*b)\/b*b*b**(2\/9))**(-49))**(-1\/56) assuming b is positive.\nAnswer: b**(455\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + sqrt(99))**2 + -1 + (sqrt(1584) - sqrt(1584)*4) + 1 + 1.\nAnswer: -24*sqrt(11) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10233 is divided by 3409?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-6 + (-10 - -9 - -7) + 0).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9*r + 23. Calculate the remainder when x(-8) is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 15 = 2*x. Let a(f) = 3*f - 5*f + 4*f**2 - x*f**2. Let m be a(-2). Solve -8 = -m*h + 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129892 + -76515. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 19*j - 870. Let k be u(46). Calculate the highest common divisor of k and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.69519 - -0.05249. What is v rounded to one dp?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.3 (c) 283\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000730054 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9794 and 830?\nAnswer: 48970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13 and 1\/(6\/96) - 5?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**3 + 814*d**2 - 178620*d + 5171400 = 0?\nAnswer: 34, 390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 2 = -2*j, 4*n + 5 = 3*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -4320?\nAnswer: 4319.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**3 - 4*g**2 + g + 6 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x**2 + 2*x**2 - 3*x**2)*((2 - 2 + x)*(6 + 1 - 12) - x + 2*x + x)*(3 - 2 + 3) to the form t*x**2 + v + y*x**3 + u*x and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 352969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-12))\/((-17)\/(-255)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 + o**2 + 4. Let v(z) = -5*z**3 - 2*z**2 - 8. Determine 9*t(l) + 4*v(l).\nAnswer: -2*l**3 + l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (31 - (51 - 25)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - 4) + -29 - -4 - -14?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6) + 2655\/7020 - 5\/(-20).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 4*g**2 + 4*g + 40. Let h(b) = 2*b**3 - 12*b**2 - 12*b - 119. Let u(l) = 3*h(l) + 8*y(l). Calculate the remainder when u(-4) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 12:25 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.022 and 0.09.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 106*a. Let s(n) be the third derivative of -1\/24*n**4 + 0*n**3 - n**2 + 0*n - 12. What is b(s(o))?\nAnswer: -o**2 - 106*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 5*a**2 - 21*a - 9. Let w be o(-8). Let t = w + 7. Let j be -8 + 10 - (t + 0). Solve 4*v - 2*z + 32 = 2*z, -5*z + j = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -471 and 234.528.\nAnswer: -110462.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -88\/12913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - (0 - (-6 + 1 - -10))) + 6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/24*(-52)\/(-39)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 167584288?\nAnswer: 1173090016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -47, -140, -291, -512, -815, -1212, -1715?\nAnswer: -2336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h - 7*h + h + 5*h - 3*h - 3*h + 0*h - h + 0*h + (-2*h + 2*h - 2*h)*(-6 + 1 + 3) + 0*h + h + 0*h + 305 - 29*h + 231 - 584 to m + u*h and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -30. Calculate the remainder when 48 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/7)*y*y)**0\/(y**(2\/7))**(-2\/5)*(y*y**5)\/y**(-1)*(y*y**(-6\/7))\/y*y**7\/y assuming y is positive.\nAnswer: y**(429\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -12\/11, 3, 2, 5, 50, 6, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 45 times 0.05\nAnswer: 2.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21.1? (a) -0.32 (b) -60 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5378*w + 53364 - 166302 = 0 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 243 + 51\/2*j**3 + 759\/4*j**2 + 3\/4*j**4 - 459*j.\nAnswer: 3*(j - 1)**2*(j + 18)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3572011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 5 + 5)*(z + 0 + 0) - 3*z**3 - z**3 + 6*z**3 + (0 - 3 - 2)*(2*z**3 - 1 + 1).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t. Let x(b) = -57*b**2 - 6*b. Determine x(q(s)).\nAnswer: -228*s**2 - 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.502 + 0.058. What is c rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.086 * 0.3.\nAnswer: -0.0258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 628477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - (1 + 0 + 0). Let o be (-3)\/(-6)*30\/5. Differentiate o - 3*m**4 - 2*m**4 - 5 + f wrt m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -34.2 (b) -3\/4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 10:00 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 + 57 - 107)*(-3*c - c + 5*c) as h*c + f and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -372*z + 4286 - 19166 for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 + (6 - (50 - 107)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3 + (-1356)\/(-9). Suppose -x = -6*f + 270. What is the greatest common divisor of 28 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -54. Are x and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 7120.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 6:30 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1269425 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140639872 and 15382486.\nAnswer: 984479104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1572 is divided by 105.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 - s**3 + 0*s**3)*(-4*s + 4*s + s) + 159*s**2 - 7*s**4 - 159*s**2 - 6*s**4 - s**3 + s**3.\nAnswer: -11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9976 + 9961. Which is the closest to 1\/2? (a) -0.3 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 4*i - 10 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23.1 + 163.1. Let q = 140 - x. Which is the nearest to q? (a) -1\/6 (b) 8 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/114 - 35378\/(-1337505))*5\/(-2)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x + 1. Let l be -6*2\/(-1)*(0 - 18). Let f be (6 - -1)*l\/252. Let d(j) = 6*j + 2. What is f*d(h) + 11*o(h)?\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 150*v**3 - 37*v**2 + 64*v + 24. Calculate q(2).\nAnswer: 1204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or 144?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*(-6 + 2)*(-26)\/12 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 31 - 3 = -5*o, -4*f = 3*o + 18 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-9)*m**(1\/2))**43*(m**0*m*m**(1\/17))\/(m*m**(-1\/2)\/m)**(-3\/10) assuming m is positive.\nAnswer: m**(-123961\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -206358282 divided by -234?\nAnswer: 881873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -24*k**3 - 177*k**2 - 5*k + 6. Determine w(-7).\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*y**2 + 138*y**2 - 47*y**2 - 47*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 + 123. What is the hundreds digit of (p + -10)*(-2 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 j when two letters picked without replacement from ooj?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -66577 and 2?\nAnswer: 66579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 2 + 2 - 2*d + d + 0*d + (-4 - 3 + 5)*(-5*d - 2*d + 3*d) + 2*d + 5 - 5 + 5 + 12*d - 4*d + 10*d to x + b*d and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3983414 is divided by 148.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 28) + (80 - 51).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 4 - (-13 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 + 2*a - 1. Let g(d) = -27*d**3 - 6*d**2 - 10*d + 1. Calculate g(n) + 3*z(n).\nAnswer: -27*n**3 - 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101102 (base 3) to base 2.\nAnswer: -110001111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w**3 + 1. Let m(q) = -q**3 - q**2 + 2*q - 1. Suppose -3*c = f - 2*f - 5, -5 = -4*c + f. Let g be m(c). What is n(g)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + d**2 + 0 + (-7*d + 3*d + 3*d)*(-2 - d + 2) - 34*d**2 + 4789 - 4789 - 45*d.\nAnswer: -32*d**2 - 45*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 7*w**2 - 6*w + 43. Let d be b(7). Let j(r) = -2*r**2 + r. Let u(m) = -m**2 + m. Give d*j(n) - u(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12045088.\nAnswer: 2, 11, 19, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 - 146857.2.\nAnswer: -146749.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 0, -2\/159, -28\/25, -0.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**2 - 6*z - 11. What is h(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 + -96. Let m = -174\/5 - x. What is the nearest to 2\/5 in 0, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - 2*v + v)*(293 + 142 - 234) as p*v + s and give p.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 3*m**2 - 2. Let a be l(-2). Let o = a + 3. Suppose -o*v = 32 - 127. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*s - 42, -3*s + 13 = -4*p - 9. Solve -5*v = -0*v - s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3375 or 118604?\nAnswer: 118604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*t**3 + 59*t**3 + 10*t**3 + 5*t**3.\nAnswer: 330*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 635 - 625. Solve 3*h - x = 5*m, 0 = -5*h + m - 4 - 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.34 (b) -1\/5 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*p = -18, -6*f + 4*f = -p - 4. Suppose -o + 3*o + 25 = a, f*o = 5*a - 41. Let j be (-8)\/(-32) - 297\/o. Solve 4*u = -u + j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5616 and 3991?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2.8, 1\/4, -494, -31 in descending order.\nAnswer: 2.8, 1\/4, -11, -31, -494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2466 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 1 = 4*x. Let q(s) be the second derivative of s**3\/6 + 11*s**2\/2 + 19*s. Calculate the least common multiple of q(x) and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 g, and 2 z when four letters picked without replacement from vvgvvvgzezv?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*g - 9, 4*g - 6*g = 0. Let y = -1 + h. Solve -y*i - 6 = 5*l, -4*l - l + 5*i = 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1482 - 1485. Which is the third smallest value? (a) 17 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, f: 2, z: 1, g: 7, j: 1}. Give prob of sequence gfjt.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y**(-15)*y)\/y**(6\/19) assuming y is positive.\nAnswer: y**(-215\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 3*r**2 + 3*r. Let x(v) = -v**3 + 4*v**2 - 3*v. Let q(m) = 2*b(m) + 3*x(m). Let p(y) = y**2 + 5*y + 4. Let n be p(-5). Is 10 a factor of q(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)*-1*1)\/sqrt(5))\/(2*sqrt(144) - sqrt(9)*-2*3).\nAnswer: -sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i + 3. Let o be t(-4). Let f be -1 + o\/(25\/(-7)). Which is the nearest to -1? (a) f (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4147095 is divided by 1251.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.082 + -6.918. Which is the nearest to -2? (a) 5 (b) i (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3519 is divided by 497?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 7*l + 5. Let a be s(6). Suppose 2*o - a = 7. Calculate the remainder when 35 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -825530 divided by -2.\nAnswer: 412765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 25. Let c be 381\/p + (-2)\/(-8). Calculate the greatest common factor of c and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.21 - -7.21. Suppose 6*x + 12 = 3*x. What is the second smallest value in x, z, 2, -12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4238154 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p + 6. Let v be d(1). Let u be (-3)\/(6\/4)*(v + -24). Calculate the greatest common divisor of 20 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1306441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 28. Suppose 0 = -2*a - 3 - p. Let c = -11 - a. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -15*i + 5. Let s be (-32)\/6 + 3 - 3\/(-9). Let z(o) = -59*o + 20. Let t(k) = s*z(k) + 9*p(k). What is the units digit of t(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1037 - 568?\nAnswer: -1616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0.5, -2\/285?\nAnswer: -2\/285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 - -79. Let q be (66\/(-55))\/(3\/d + -1). Let s(z) be the first derivative of -z**4\/4 + 5*z**3\/3 - 3*z**2\/2 + z + 1. Determine s(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (3 - (4 - (1 - -56))) + (247 - 243).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 843086 * -0.11\nAnswer: -92739.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 578\/51 + 2\/6*-1. Solve -i + 0*i - 5*w = -f, 3*i - 2*w = -18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 845850*j - 3383432.\nAnswer: 2*(j - 422929)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -d + 3. Suppose -4*s + 15 = 5*w - d, 0 = -5*s + 3*w - 20. Is s at most 2\/139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 149533485 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 + 43*p**2\/3 + 227*p\/3 + 185\/3.\nAnswer: (p + 1)*(p + 5)*(p + 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1379878 - 722*c - 1379878 as d*c + x and give d.\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**7\/42 + 29*i**6\/30 + 31*i**5\/10 + i**4\/6 - 61*i**3\/6 - 31*i**2\/2 + 3333*i. Solve f(y) = 0 for y.\nAnswer: -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 1454 = 1136. Let k = -252 - p. Solve k = -3*s + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 438*o - 90. Let l be w(1). What is the greatest common divisor of l and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6921, -6721, -6521, -6321?\n\"Answer: 200*l - 7121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.5 + -7. Let g be -1*-2*(-9)\/(-33). What is the biggest value in r, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 3. Let o(h) = -h + 2. Let r be o(-8). Let p = -9 + r. Which is the nearest to v? (a) -1\/4 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -5*q**4 + 230*q**3 - 700*q**2 - 5720*q - 6720 = 0.\nAnswer: -2, 8, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 17. Let b be 1 + 13 - (-4 + q). What is the highest common divisor of 39 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 130 - 112.7. Let a = 47 + -27. Let l = a - r. Round l to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3. Let n = -1 + 2. Let j(t) be the second derivative of t**5\/20 - 5*t**4\/12 - t**3\/3 - 3*t**2 + 55*t. Let a(i) = n*j(i) - 2*z(i). What is a(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 - 102024984109.\nAnswer: -102024984088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1248 = -2*q + 106*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 17*k**3\/2 + 30*k**2 - 11*k. Differentiate t(r) with respect to r.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 14*o**2 + 15*o - 6. Let x be k(13). Suppose 0 = -7*i + 3*i - x. Let r be 13\/5 + (-2)\/(-5). Sort r, 5, i in ascending order.\nAnswer: i, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 110.793695 and -5316?\nAnswer: 5426.793695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.003 + 9136.\nAnswer: 9135.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -611 + 1223\/2. Which is the fifth biggest value? (a) 2\/5 (b) 3\/8 (c) 3\/4 (d) q (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 + 3)*(3*m**5 + 2*m**5 + 0*m**5) + m**5 + 0*m**5 + m**5.\nAnswer: 37*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 122, -1\/2, -19476?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -743*y**3\/6 - 53*y**2\/2 + 2*y - 3. Is 67 a factor of r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165995 + 0.04?\nAnswer: -165994.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/56 and -5\/3088.\nAnswer: 21616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 + -83. Suppose 11*p - 189 = o*p. Let s = p - -59. List the prime factors of s.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1\/28 (c) 1 (d) 0 (e) 579\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**6\/120 - 19*v**5\/60 + 2*v**4\/3 + 3*v**3 - 2*v**2. Let m be b(18). Put m, 1, 5 in descending order.\nAnswer: 5, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c. Let n(g) = -515*g. Give n(f(m)).\nAnswer: 1030*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = x + f + 1, -5*f + 25 = 0. Suppose -x*d + 14 = 4. Solve 0 = -3*c + d*a - 24 - 7, 5*c + 2*a = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d + 2*d + 3*d)*(4*d + 6*d**2 - 4*d) + 6*d**3 - 18 + 18 to z*d**2 + m*d**3 + p*d + s and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 1, u: 1, v: 1, n: 1, x: 2}. What is prob of sequence sg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10967\/204 - 1\/102. Let l = z - 54. Sort -1, -2\/9, l in ascending order.\nAnswer: -1, l, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-3)\/9)\/((-3)\/(-27)))\/(-1). Suppose 0 = -y*c + 94 - 94. What is the closest to c in -0.4, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 9:02 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {a: 6, s: 7}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 15*y**2 + 3*y - 32. Calculate t(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 26 = n. Let l = n + 17. Calculate the lowest common multiple of 10 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - a - 3*a = 1, -4*j = 4*a - 20. Let l be (-4 + 5)*(3 - j). Solve l = n + 1 + 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a second in milliseconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 21\/2 (c) -0.1 (d) -2\/161\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17.9 in 0.2, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.028619 less than -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -u - 2*u. Suppose 46 = 4*n - 5*v - u, 5*n + 2*v - 110 = 0. Let a be 3\/(-6)*(-1 - 119). What is the greatest common divisor of a and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**4\/11 - 15850*y**3\/11 + 15844*y**2\/11 + 31696*y\/11 = 0?\nAnswer: -1, 0, 2, 7924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 7*x**2 + x - 5. Let g be z(7). Let t be 46\/14 - 6\/21. Suppose g*b + 3*j - 6 = 0, 0 = t*b - 4*j + 3*j + 2. Solve -2*k = -b*k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 + 18. Let j = i + 39. What is the second derivative of j*g**2 - 3*g - 11*g**2 - 2*g**5 wrt g?\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + (20 - 20 - 3) - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.07 - 0.93. Let h = 2.35 - n. Which is greater: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*p**3 + 27*p**3 + p - 4*p**2 - 57*p**3 as c*p + w*p**2 + a*p**3 + j and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (44\/1287)\/(-39*4\/18). Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3358*l**3 + 1641*l**3 + 183*l**3.\nAnswer: 5182*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -538 + 550. Suppose h*r - 32 + 68 = 0. What is the second biggest value in -0.033, r, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3270 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**7\/7 + 353*r**5\/5 + 4*r**3\/3 + 22*r**2 + 432. Find the third derivative of j(y) wrt y.\nAnswer: -120*y**3 + 8472*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogy when three letters picked without replacement from {y: 2, g: 3, o: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v + 21 = 20*v. Let t(i) = -19*i**3 - i**2 - v*i**3 - 3 + 1 - 4*i. Calculate the smallest common multiple of t(-1) and 24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -487.5732433 rounded to 1 decimal place?\nAnswer: -487.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 4 (b) -1.7 (c) 3 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1 - 2*f**3 - 380*f**2 + 8*f + 386*f**2 + 0*f - 11. Determine z(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -108941 and 4900.\nAnswer: -533810900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -707 + 712. What is the nearest to 0.6 in c, -1\/7, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14736803 and 15990999?\nAnswer: 751576953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 16. List the prime factors of (q\/(-9))\/(3\/(-153)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001010010 (base 2) in base 15?\nAnswer: 4db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-12) - 2) + (-27)\/(-432)*-4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1727*j + 9. Let p(h) = -5172*h + 32. Determine -2*p(g) + 7*w(g).\nAnswer: -1745*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o**2 + 857*o**3 + 7*o**2 + 10*o**2.\nAnswer: 857*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**7\/105 - 11*r**5\/30 + 11*r**3 + 49*r**2 - 2. What is the derivative of j(m) wrt m?\nAnswer: -8*m**3 - 44*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -675 divided by -675\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyysyyyyyss. Give prob of sequence sy.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a century in years?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3130, -11998, -26688, -47200, -73534?\n\"Answer: -2911*a**2 - 135*a - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79365?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4*3\/4. Let a = -0.1 + 0. Let u be (-1 - -2)\/(-4 - -2). Put j, a, u in descending order.\nAnswer: a, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -5567?\nAnswer: -16701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lel when three letters picked without replacement from {l: 1, i: 3, e: 2, y: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 4*y - 9. Let u be h(-3). Let s(f) = f**3 - 7*f**2 - 5*f + 7. Let i be s(8). Let o = i - u. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 + -0.04. Let n = 1.1 + s. Let u = -5\/3 - -9\/5. Which is the closest to n? (a) 2 (b) u (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 600 and 2320?\nAnswer: 34800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 10, 0, -2 in increasing order.\nAnswer: -3, -2, 0, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(3 + -5 - -1). Suppose -2*l - 143 = d. Find the common denominator of l\/(-8) + (-21)\/14 and -55\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(44)\/sqrt(4) - sqrt(11)) + 4 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.26, -0.4, -9.5 in descending order.\nAnswer: 1.26, -0.4, -9.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -47) + (170 - 193)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1006*j = 1017*j - 2409. Calculate the remainder when j is divided by 85.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.97 - -0.03. Let j = 4 - q. Let o be -4 - (-1 - (-17)\/(-4)). Which is the closest to 1? (a) j (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1124463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80512 and 1416508?\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2723.047 millimeters to meters.\nAnswer: 2.723047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 588*z + 30. Let l(g) = -391*g - 19. Calculate -5*k(n) - 8*l(n).\nAnswer: 188*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 7. Let l be (3 - z - 3)\/1. What is the units digit of 2\/(6\/15) + l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*n - 6664, 3*n + 5*m = 2*m + 4998. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 18. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3363793?\nAnswer: 3363793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 4:00 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44243 and 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 883755607 and 4907?\nAnswer: 4907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3162304 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 + 5*m**2 + m. Let x(n) = -257*n**3 + 4*n**2 + n. What is d(k) - x(k)?\nAnswer: 259*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6330 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*((sqrt(128) - (sqrt(128) + -2*sqrt(128)*2)) + sqrt(128))**2 + 2.\nAnswer: 19204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/711 + 719\/2844. Which is the closest to 2\/7? (a) -0.1 (b) n (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 + 280. Let l = -244 + c. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27 - -2525172?\nAnswer: 2525146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1449 - -1508. Solve 8 = -u*n + 51*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 163.48 + -164.48. Which is the fifth biggest value? (a) 2 (b) -0.2 (c) 34 (d) p (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*o - 158*o**4 + 5*o**3 + 42*o**4 - 54*o**2 + 38*o**4 + 79*o**4 - 88 = 0. Calculate o.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-40)*12\/30?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 346?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -715.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -148533047897\/22500994257 + -4\/16557023. Let y = -3\/302 + p. Let h = 2\/2425 + 172167\/9700. Calculate the common denominator of h and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 472?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -11. Let g(w) be the first derivative of -w**2\/2 + 4*w - 1. Let h(b) = 2*b - 5. Give y*g(r) - 3*h(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 535 + -538.7. Let p = -3.8 - o. Which is the biggest value? (a) 0.41 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5823130 and 45530.\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11063 * 0.2.\nAnswer: 2212.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**2 + x**2 + 3*x**2 + (-2*x - 2 + 2)*(7*x - 4*x - x) + 2 - 2 + x**2 + 12*x**2 - x**2 + x**2 + (2 - 1 + 1)*(2*x**2 + 5*x**2 - 6*x**2).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3093, 6179, 9251, 12303, 15329?\nAnswer: 18323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27705.8951 rounded to the nearest one thousand?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*h - 17. Suppose -f + 5*n = -0*f + 21, -5*n = -h*f - 99. Let a = -12 - f. What is the remainder when 25 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 443 = -2*t + 425, -5*t - 5 = -2*w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1149.\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2125163.\nAnswer: 1\/2125163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287 = 5*w + 2*w. Suppose -p = -1 - w. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 2 - -6)*91\/78. Solve 4*z = f - 8, c*z - 2*z - 15 = -5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -966*b**2*s - 2712*b**2*z - 62*b*s*z + 1376*s with respect to z.\nAnswer: -2712*b**2 - 62*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/19)\/h)**(1\/4)*h**(3\/4)\/h**5 assuming h is positive.\nAnswer: h**(-86\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -288*z. Let g(w) = 76*w**2 - 3*w - 7. Determine r(g(x)).\nAnswer: -21888*x**2 + 864*x + 2016","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/14 - (-14 + 9)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 3:55 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a + 3. Let c be v(0). Let t(u) = 43*u - c - 24*u - 15*u. Give t(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f = 144 + 215 - 55 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 704, 2446, 5238, 9080, 13972?\nAnswer: 19914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -289 + 467?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.53 + 0.03. Let i = k + 1. Let h = -1 - -0.9. Which is the nearest to h? (a) 0 (b) -0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63692 = 35*m - 12*m - 63991 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9748 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10 + ((662\/(-24))\/(160\/(-48)) - (-84)\/140)\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = -4. Let v(c) = c. Suppose 4*m + 0*q = -q + 21, 4*q = -2*m + 14. Let s(h) = 4*h + 1. Let a(k) = m*v(k) - s(k). Calculate a(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -493 - f?\nAnswer: -4a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 + 8*y + 6. Suppose 15 = -3*z, 5*z = 3*b - 9 - 1. Calculate n(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4779*k + 357333 = -39324 for k.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (0 + (-1 - -3)). Let h be 4 + i + 18\/2. Suppose -4*m + h = o, 0*m = -m + 1. Solve -2*w + 0*j = j + o, -4*w - 18 = 5*j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 - -2.7. What is the nearest to 0 in -1, l, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 311, 0, 5, 133, -4 in descending order.\nAnswer: 311, 133, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 616 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160, 0.3, 0.01 in descending order.\nAnswer: 160, 0.3, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -14580, 119, 4 in ascending order.\nAnswer: -14580, 4, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3032.4 + -4253. Round u to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 - 268. Let w = c - -132.999978. What is w rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 239054 by 1.\nAnswer: 239054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, d: 1}. Give prob of sequence ii.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 9*i**2 - 7*i + 7. Let c be b(-10). Let g(o) = -33*o - 56. Is g(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 + f**3 + 2*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1232 times 78.3\nAnswer: 96465.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k = 74*k - 164 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3 (b) -3972 (c) 0.2 (d) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyy when three letters picked without replacement from ydygsfsssiysyy.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**3 + y**2 - 522 - 6*y**2 + 259 + 2*y**3 + 266. Suppose 0*r = 4*c + 2*r - 2, 10 = -2*r. Let w(f) = -6*f**3 - 14*f**2 + 8. Give c*w(a) - 8*u(a).\nAnswer: -2*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -151, -293, 1 in decreasing order.\nAnswer: 5, 1, -151, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1307320877 is divided by 114.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 1538 = -139*r - 1905 - 5197 for r.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -11. Suppose -h*u + 80 = 2*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 151 + -97. Calculate the least common multiple of 48 and m.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/30)\/(44\/(-6)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3146*d**2*n*o**2 + d**2*n*o - 3*d**2*n + 10*d**2*o wrt o.\nAnswer: -6292*d**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -129, -127?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 + 66. Find the second derivative of -4*g**l + 11*g**2 - 21*g - 11*g**2 wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20248373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9476074 is divided by 9476056?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13926561?\nAnswer: 3, 11, 503, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2 + -32)*((4 - 0) + 2871\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*l = 28*l - l + 123 + 444 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -130 - (-11027 + 10784).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3677548 divided by -11.\nAnswer: -3677548\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -16. Let u(a) be the first derivative of o*a**2 + 0*a**3 - 1\/4*a**4 - 1 + 2*a. What is the derivative of u(l) wrt l?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 72) + 46 + -34?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -44.9. Round q to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*v**3 - 64*v - 3643 + 20*v - 14*v**3 - 89 - v**2 - 5016 wrt v.\nAnswer: 24*v**2 - 2*v - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -141, -153, -165, -177, -189?\n\"Answer: -12*j - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 3, -2246, -21 in decreasing order.\nAnswer: 18, 3, -21, -2246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**3\/3 + 5*s**2 + 4*s - 3. Let w be z(7). Suppose g = 2*g - w. Calculate the greatest common factor of g and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-12)\/(w\/(w\/w**(1\/7))))**(-3\/5) assuming w is positive.\nAnswer: w**(51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 + 5*n**2 + 3*n + 2. Let i be m(-3). Let y be ((-3)\/6)\/((10\/i)\/5). Let 0 + 1\/6*z**y + 0*z - 1\/3*z**3 + 0*z**2 = 0. What is z?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 + 100 = 3*m. Suppose -4*z + 5*q = q - 84, 0 = -5*q + 5. What is the remainder when m is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 26*k**3 - 5*k**2 + 3*k + 48. Let b(v) = -6*v**3 + v**2 - v - 11. Let g(l) = -9*b(l) - 2*n(l). What is g(3)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**8)**(-12\/11) assuming w is positive.\nAnswer: w**(84\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21590983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j*w**3 + 244*j*w - 2*j - 22*w**3 + 9 wrt j?\nAnswer: w**3 + 244*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1390 divided by -278.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**2 + 1032*y. Let h(n) = 167*n - 1. Give h(a(j)).\nAnswer: -668*j**2 + 172344*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.4. Let j be -1*(-4)\/(-14) + 308\/49 + -5. Which is the smallest value? (a) w (b) j (c) 0.5 (d) -3.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 9*v - 82, 2*a - v + 19 = 57 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 755774, 1511552, 2267330, 3023108, 3778886?\nAnswer: 4534664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 36, 3, -4, 2, 21.\nAnswer: -5, -4, 2, 3, 21, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**2 - 6*c + 5. Let u(r) = -4*r**2 - 5*r + 4. Give 5*u(i) - 4*x(i).\nAnswer: -4*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-5 - -8) + -8 + -4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 111, 5.\nAnswer: 4, 5, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 5*q - 5 - 0, -3*z + 4*q = -35 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*g**2 - 1214*g + 732.\nAnswer: -2*(g + 122)*(5*g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + v - 4 = 0, -280*v = -s - s - 282*v - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-18 - -34) - 23 - -27\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 169 - 69 - 53 - 2*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -31) + (0 - 21 - (-103 + 78))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*f + 45927 = -63*f. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48698 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*m + 16 = -m, -4*s + m + 17 = 0. Suppose -4*b = s*u, 2*b = 7*b - u. Factor 0*t + b*t**2 - 2*t - 2*t**2.\nAnswer: -2*t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 539220832 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 2*z**2 + 7*z**2 + 2*z + 6*z**2.\nAnswer: 13*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 + 94. Suppose -y = -6*f - 28. Put -1\/7, -5\/2, f in descending order.\nAnswer: -1\/7, -5\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 406, 407, 410, 415, 422, 431?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12462, 12464, 12466, 12468?\n\"Answer: 2*y + 12460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -x - t + 4322, -t + 8649 = 2*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.06, -3, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqsshhqsqhqhqsq. Give prob of picking 2 h and 2 q.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 9*u**2 + 7*u + 59. Let s be ((-590)\/(-236))\/((-1)\/2). Is c(s) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 4. Let z = 7 + k. Does 10 divide (-2 + z)*(-1 - -11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 535*p = 533*p + 44, -2*k + 10*p = -5*k + 176 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 12*q + 3. Is u(3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1477*k - 1 + 292*k + 1 + 597*k in the form s*k + q and give s.\nAnswer: 2366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 14*x + 1. Let l be k(1). Let m be 39\/15 - 9\/l. Suppose m = -2*u - 44. What is the common denominator of 53\/8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 2*z**3\/3 - 1. Let x(m) = -13*m + m - 13*m - 11*m + 6*m. Give g(x(s)).\nAnswer: 1800*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/(-32)*(-1 + 9))\/2. Let i = 0.17 - -0.03. Is h at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 1, y: 1, z: 1, l: 1}. What is prob of sequence ly?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.1, -12, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.64 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*d = 2417 - 2279, -3*d = -2*a + 80. Let r(k) = -k**3 + 36*k**2 + 34*k + 127. Calculate r(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*f**6 - 3*f**3 - 111*f**2 wrt f.\nAnswer: 600*f**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298491733?\nAnswer: 4549, 65617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/(-20))\/((-6)\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -1.096419?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -4 - (0 - (-5 + 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -90, -83, -62, -21, 46, 145, 282, 463?\n\"Answer: g**3 + g**2 - 3*g - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1 (b) -0.4 (c) -0.03 (d) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -40*t. Let b(v) = -2*v**2. Determine b(a(c)).\nAnswer: -3200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1423 (base 7) to base 14.\nAnswer: -2ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**5 - 77*v**4 + 4*v**2 - 2452*v.\nAnswer: 40*v**3 - 924*v**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102 + 782. Suppose 141 = n + 2*l, l + y = 5*n + 6*l. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 14*m**2 - 59. Let t(r) = -26*r**2 + 118. Let c(b) = -11*j(b) - 6*t(b). Let v(a) = 2*a**2. What is v(c(o))?\nAnswer: 8*o**4 - 472*o**2 + 6962","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 0*u + 5*u - u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hoddoobjdhji. What is prob of sequence hdd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -2*v - 5*x + 1444 - 1576, x = 2*v - 36 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 2322310100131?\nAnswer: -2322310100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1533180 divided by 306636?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4825*j**2*x**4 - 2*j**2*x**2 - 5*x**4 + x**2 + 2199 wrt x.\nAnswer: -115800*j**2*x - 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004570794 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 88 + -9?\nAnswer: 7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -65 - -37 - (11 + -15 - (1 + 2))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 + (7 + -7 - (-20 + (11 - -5)))?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 6. Let b(g) = 3*g + 13. Let v(j) = 2*b(j) + 5*t(j). Let z be v(7). Suppose 19 = -z*r + 2*n + 57, -r - 3*n = -9. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52877 (base 11) in base 8?\nAnswer: -226167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224 and 19672?\nAnswer: 550816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + (sqrt(133) + -4*4*sqrt(133))\/(sqrt(448) + (sqrt(448) - (sqrt(448) + (-2*sqrt(448) - sqrt(448))))) + 3)**2*-2.\nAnswer: -20659\/512 + 15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*n + 76*n + 53944 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129810 divided by 3.\nAnswer: 43270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -298411\/50202 - 2\/8367. What is the common denominator of 113\/10 and q?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -14*z**2 - 13*z + 7. Suppose 134 = 12*a + 38. Let f(k) = -22*k**2 - 20*k + 10. Let w(d) = a*s(d) - 5*f(d). Factor w(v).\nAnswer: -2*(v - 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/((-20)\/10))\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**7*u)\/u))**(-23)\/(u*u\/(u*u**(-7)\/u)*u*u)**(-1\/9) assuming u is positive.\nAnswer: u**(1253\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 2 + 0*n + 4\/3*n**3 + n**2. What is the second derivative of l(y) wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2487 + -0.0213. Which is the third smallest value? (a) 4 (b) 3\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - (-30 + (30 - 21)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244362 is divided by 20360?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + -6 + -14 + 41.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 10311 = -4*c, 0 = 4*v - 4*c - 1832 - 11860. What are the prime factors of v?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 6. Let x be g(-8). Suppose 27 = 3*o - x*s - s, -5*s - 21 = o. Calculate the lowest common multiple of o and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*h - 40 = 8, 5*k - 78 = -2*h. Let b = 15 - k. Let j = 0 - b. Are j and -1\/22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(3658\/(-93) + 64).\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from {s: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qedmmvvnq. What is prob of picking 1 v and 2 m?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 18*g + 95 - 128 as x*g + v and give v.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/2160 and 53\/1575.\nAnswer: 75600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 43074446?\nAnswer: -25844667.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**4 - 5*d**3 - 3*d**4 - 2*d**4 + (-14*d + 17*d + 24*d)*(-d**3 + 0*d**3 + 3*d**3).\nAnswer: 52*d**4 - 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*c = -258*c - 136 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 11*p + 4. Let x = 17 + 17. Let b = x - 23. What is the units digit of i(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22.3 times 31806\nAnswer: 709273.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(425) + -1 - sqrt(17)).\nAnswer: 1 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*j = -93*j. Suppose j = -41*m + 39*m - 8. Sort -5, -7, -1, m.\nAnswer: -7, -5, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145 (base 6) to base 13.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) 63 (c) 1061 (d) -1\/2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1603*g - 14198*g - 10818*g - 4983*g - 8439*g.\nAnswer: -36835*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 94 = 104. Let r be (2\/(-6))\/((-3)\/18). Let g be (-6)\/((0 + -2)\/r). Solve n*k = 4*h - 10, -g = 2*h - 4*h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4814\/415 - 112\/70\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 + -0.6. Let t = -7 + 12. Suppose 2*d = -t*r + 6*d - 18, 3*d - 8 = r. Which is the closest to g? (a) -0.3 (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13354, 12716, 11648, 10150?\nAnswer: 8222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -895*f**3 + 2*f**2 - 488 - 2*f**2.\nAnswer: -895*f**3 - 488","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 8. Let n be i + (4 - (4 + -3)). Let p(r) = r**3 - 13*r**2 - r + 18. Let c be p(13). Solve 0 = -5*x + c, -5*v - 5*x - n = -x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*188\/(-64) + 5\/(-40). Let i be 20\/(-8)*(-44)\/10 - y. Solve 9 = 8*a + i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -3554.\nAnswer: -27\/3554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijiijj. What is prob of picking 3 j?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 4594.84 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p**(-33)\/p)\/p*p)**14\/(p**(-37)\/(p*p\/(p*p**(-2\/11)))) assuming p is positive.\nAnswer: p**(-4508\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2583513 (base 10) to base 16\nAnswer: -276bd9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 168 - -24. Let l = v + -191. Which is the closest to 5? (a) -1 (b) 0.11 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 176 and 1099.\nAnswer: 193424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 113984 and 0.011073?\nAnswer: 113983.988927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -420 and 81.2.\nAnswer: -34104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110001001 + 100?\nAnswer: 100110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 1122 = 1094. Solve -t + 2 = -m, -2*m - 3*t + 4 = -s*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 0*z**4 + 1\/330*z**5 + 0*z - 1\/33*z**3 + 0 - 8*z**2. Factor x(t).\nAnswer: 2*(t - 1)*(t + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222221 is divided by 88.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -9 - 19. Suppose 0 = -2*d + 4*w, 4*d + 0*w + 2*w - 10 = 0. Solve -a = 4*p + d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 15\/(-18))*(-3 - 0). Let c(j) = -j**2 + 3*j + 4. Let v be c(5). Let n = v - -4. Which is bigger: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 5*r + 2. Let l be h(-5). Suppose 0 = 3*x + 1 + l. Let f = x - -13. Calculate the highest common divisor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0 - 3 + 41*w + 3 to the form n*w + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 16*o**3 - 1315*o**2 - 5243*o - 5197. Let a(m) = 10*m**3 - 877*m**2 - 3495*m - 3465. Let z(i) = -11*a(i) + 7*b(i). Determine q so that z(q) = 0.\nAnswer: -217, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.8529 - -15760.8529. Which is greater: w or -2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*g - 4. Let c be 1\/(-1) + (6 - g). Put 0, c, 1 in descending order.\nAnswer: c, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**4\/12 - h**3\/3 + h**2\/2 + 6*h. Factor y(u).\nAnswer: (u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13, 25, 39, 55, 73, 93?\n\"Answer: t**2 + 9*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128 - (29 + -111)) + 103.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p - 15 = 0. Let v(u) = 3*u - 12*u + p*u. Let q(c) = -21*c. Give 5*q(w) - 18*v(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -628\/7245 - -8\/345. Let u = h - 3803\/630. What is the common denominator of u and -61\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/(-42) + 6\/(-49)*1022\/(-584).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2*c - 1)*(-4*c + 4*c - 3*c**3) + 25*c**4 + 7*c**4 + 72*c**4)*((-1 + 4 - 2)*(c - c + c) - 2 + 2 + 2*c - 2*c + 1 - 1).\nAnswer: 110*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7758783 is divided by 36.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - h + 14 - 6 = 0, -5*y = -3*h - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 3. Let l be p(16). Let v = l - 6. Differentiate 2 - 4*s - 3 - v wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 123 - 436341?\nAnswer: -436218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 1. Let a(m) = -5*m - 3. What is a(w) + 4*u(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29846791?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a - 20 = -15*a. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-17)*u**(10\/13))\/(u\/((u*(u*u**(1\/12))\/u)\/u))**(-49) assuming u is positive.\nAnswer: u**(4475\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14625581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*45\/10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 11\/(-88) + 8406\/48?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*a - 107*a = -220*a + 520 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5347038 decades to years.\nAnswer: 5.347038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1419686?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 676814*-6.75.\nAnswer: -4568494.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 165394?\nAnswer: 165397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1465529 or -1465551?\nAnswer: -1465551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 8:13 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 464223821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 8:41 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + -2.5. Let x = 3 + j. Let m = 0.12 - 3.12. Which is the third smallest value? (a) -1\/4 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 64*q + 62*q + 27)*(-5*q + 5*q**2 + 5*q) to x*q**3 + t + o*q**2 + p*q and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzvztttvtvv. What is prob of picking 2 z and 2 t?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l + 49. Let y be c(9). Suppose 3*f + 11 = -y*i, 6*f = 2*f - 2*i + 2. Solve -q + 31 = f*q + 5*w, 5*w - 7 = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1700 and -89\/250.\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - c**2 + c**3)*(11 - 2*c - 11) + 4*c**4 + 20*c**4 + 13*c**4.\nAnswer: 35*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v - 63. Let q(t) = 7*t**2 - 4*t - 6. Let m be q(-2). Suppose -o = 5*u - 38, 4*u - 1 = -o + m. Let z be x(u). Let l(f) = -2*f + 3. What is l(z)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 81*y**2 + 1594*y + 144. What is z(-48)?\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 200 + -186. Let k be (-2)\/(-7) + (-422)\/7. Let l = k - -86. Calculate the remainder when l is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfgpwyfp. What is prob of picking 1 y, 1 f, and 1 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 3*x**3 + 15 - 52 + 36 as f*x**2 + b + p*x + r*x**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 83174.94 centimeters in kilometers?\nAnswer: 0.8317494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) 2\/3 (c) 0.2 (d) 0.4 (e) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -30*y - 9*y - 561 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*k = -3*g + 30, 0 = -2*g + 3*k + 21. Suppose 207 = 5*r - 3*y + g*y, r - 4*y - 46 = 0. Calculate the greatest common divisor of r and 308.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30181 + -30178. Let s(b) be the third derivative of 0*b**4 + 3*b**2 + 0*b**l + 0 - 2\/15*b**5 - 1\/105*b**7 + b + 1\/15*b**6. Suppose s(c) = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 64 = -0*s + 5*s, 0 = -3*s - 3. Let f = 234 - l. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6455758 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749613291.\nAnswer: 3, 7, 41, 53, 16427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 49295850 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 743.19229 - 743.2. What is p rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7 + (-23)\/3 - 382\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34*k**4 + 2*k**3 - 609*k**2 + 77106 wrt k.\nAnswer: -136*k**3 + 6*k**2 - 1218*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -165157\nAnswer: -4\/165157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(832) - (sqrt(832) + (sqrt(832) - (3*sqrt(832) - sqrt(832))) + sqrt(832)))**2*-4 + (1 + sqrt(208) + -2)*-2.\nAnswer: -8*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 0, -40 in increasing order.\nAnswer: -103, -40, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 169 + -106. Calculate the smallest common multiple of 28 and u.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f + 1954 = 1702 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/5 - 6*y**2\/5 - 36*y\/5.\nAnswer: 2*y*(y - 6)*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, p: 2, j: 3, i: 1, a: 1, d: 1}. Give prob of sequence iydp.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from lvvtlvkklvvkl?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 5)*(0*m - 2*m + m) + (1 - 1 - m)*(0 + 3 - 1) as g + w*m and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 2982595883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnn. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 413\/3 > 138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-8 - ((-15 - -9) + 3))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**4 - g**3 - g. Let t = -23 - -18. Let a(h) = -7*h**4 - 5*h**3 + 11*h**2 - 5*h. Let b(d) = t*p(d) + a(d). Find the third derivative of b(x) wrt x.\nAnswer: -288*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + w + 2*w**2)*(-3 + 2 - 2)*(933*w - 933*w - 16*w**2) in the form q + x*w + k*w**4 + s*w**3 + h*w**2 and give k.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -0.837816?\nAnswer: -0.837816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-15) + 1179\/(-45). Let i(t) = t**3 + 29*t**2 + 50*t - 63. What is the remainder when i(j) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1124 = -4*o - 4*j - 260, 437 = 2*o + j. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72505 by 4265.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5819 (b) -36 (c) 5 (d) 0.4 (e) 137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -42414 (base 5) to base 15\nAnswer: -ca9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -389*i**3\/5 - 1164*i**2\/5 + 12*i\/5 - 781. Determine u so that b(u) = 0.\nAnswer: -2, 2\/389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q**3 + 2*q**2 - 2*q + 2. Let p(b) = 6*b**3 - 3*b**2 + 3*b - 3. Determine 3*k(c) + 2*p(c).\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/3 + 276244*d + 28616530326.\nAnswer: 2*(d + 207183)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 152 = 2*b, -4*b + 297 = -4*t + 3*t. Suppose 5*u = c - 10, 0 = 4*c - 7*c + 4*u + b. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 0*a**2 + 7 + 0*a**3 - a**2 + a**3 - 12*a**2. Let n be d(13). Suppose -n*o + 24 + 606 = 0. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j - 154 = -103 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -458795*d**2 - 3115*d - 3115. Let h(y) = 442*y**2 + 3*y + 3. What is -3115*h(a) - 3*s(a)?\nAnswer: -445*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 4. Let m be l(4). Suppose 13 = 5*f - 6*i, 2*f = -0*f + i + 8. Suppose 5*j + 2*y - 6269 = m, -3519 - 2744 = -f*j - 4*y. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0175022195 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.95 + 0.05. Let f = -6 + h. Let o = -0.1 - 0.1. Which is the second biggest value? (a) f (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -70 (b) 0 (c) 59\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b - 18. Let f(w) be the third derivative of w**4\/24 - 5*w**3\/6 - 4*w**2 - 5*w. Calculate -18*f(i) + 5*r(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 174164 at most 174162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/(sqrt(50)\/sqrt(10)) + 1 + sqrt(117))**2 - (-4 + (sqrt(26)\/sqrt(128))**2)*-3.\nAnswer: 8*sqrt(13) + 12647\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10512 - 10305. Solve -n*r = -185*r - 22 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - 2\/(-12) - (-1)\/8. Let g be 4\/(-24)*1\/(-4). Let m = r + g. Sort -2\/5, 0.5, m in increasing order.\nAnswer: -2\/5, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2.5. Which is the second smallest value? (a) 0 (b) k (c) -0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 + 412*o - 1285*o + 438*o + 1 - 7 + 435*o.\nAnswer: -5*o**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20188, 20191, 20196, 20203, 20212, 20223?\n\"Answer: y**2 + 20187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3114.265 to zero dps.\nAnswer: -3114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001313 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.624 to 1 dp.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -473 + 591. Which is the nearest to 1\/3? (a) k (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from vwhhhxvvhhhhhwihwf.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*h + h. Let g = h - 1. Suppose -5*p - 20 = -5*i, -3*i - p + g = -0*p. Solve 0 = -i*v - 3*v + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -447 - -447.1. Let s be (-1 - -4)*4\/114. Put s, o, -3 in decreasing order.\nAnswer: s, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*o**2*z**5 - 219*o**2 + o*z - 3*z**5 wrt z?\nAnswer: 980*o**2*z**3 - 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 19677.\nAnswer: -4\/19677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-72) + 4750\/90. Solve -40 = 61*b - i*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*q**3 + 61917*q**2 - 30967*q**2 - 64*q**3 - 30950*q**2.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -442525?\nAnswer: 442531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1848 and 6888.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.8 and 6911256.1.\nAnswer: 6911253.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + (-1 - (-12 + 9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (-3 + -9*3). Calculate the highest common divisor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 47 - 443 = 0. Suppose -v - 2*v + 99 = 0. Calculate the highest common divisor of z and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 4aa4?\nAnswer: -4aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 72 = 22. Let l(k) = -k**2 + 13*k - 13. What is the remainder when ((-2)\/(-2))\/(u\/680) is divided by l(9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 25*l + 2. Let f be b(-5). Solve f*x - 2 = -2*r, 2*x - 3*r - 3 = -6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206665*-7.\nAnswer: 1446655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*b - 9. Suppose b*i = 6*i + 54. Calculate the highest common divisor of 18 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -309*n. Let i(p) = -5*p - 1. Give 2*i(a) - w(a).\nAnswer: 299*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -360*o**3 - 6*o**2 + o + 1. What is the remainder when d(-1) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93 - -63) + (26 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 + 5 = 0. Let g be ((-2)\/3)\/(x*(-3)\/9). What is the greatest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35980 + -27011. Sort 2, -3, b in increasing order.\nAnswer: -3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + (-36 - (-24 - 0)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -105 (b) 5\/3 (c) -17\/2 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 103, 3037, 0, -3, -2 in increasing order.\nAnswer: -3, -2, -1, 0, 103, 3037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-5))\/((-8)\/(-80)). Suppose -w - 4 = -2*l. What is the remainder when l is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -4. Let k be 11*22\/726*(-15)\/(-10). What is the third biggest value in k, c, 3, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*sqrt(2736) + (-5 + sqrt(2736))*6 - -3*(1 + sqrt(2736) + 0 + sqrt(2736) + -2))**2.\nAnswer: -12960*sqrt(19) + 616896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 15, 65*b + 19 = -4*a + 68*b. Put 5, 2, -24, -2, a in descending order.\nAnswer: 5, 2, a, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429757835?\nAnswer: 5, 13, 6611659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(7\/((-210)\/15))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -784455\nAnswer: -1\/261485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(528))\/sqrt(11).\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + 51\/15 - -3. Sort -2, u, 4, -2\/9 in decreasing order.\nAnswer: 4, -2\/9, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 335*b**4\/12 + b**3\/3 + 1486*b**2 - 1429*b. What is the second derivative of y(z) wrt z?\nAnswer: 670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -115095 and 3059981.5.\nAnswer: 2944886.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/8496 and -151\/60?\nAnswer: 42480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33045\/52 or 636?\nAnswer: 636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2897 is divided by 145.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*n**(-3\/13)\/n)\/(n**(-12)\/(n**(3\/2)\/n*n)) assuming n is positive.\nAnswer: n**(293\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 57348 plus 41039016?\nAnswer: 41096364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20948271?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(256) - (-1*sqrt(256) - sqrt(256)))*-2 - sqrt(256))*6)\/(-3*sqrt(968)*-2).\nAnswer: -28*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00432852316 to 6 dps.\nAnswer: -0.004329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15506251.\nAnswer: 15506251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - -168. Suppose -3*j - c = 2*b - 454, -5*j + 453 = 3*b. Calculate the remainder when j is divided by -1 + (-6 + 2 - -28).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - i = l - 163, 0 = 4*l - 2*i - 178. Let x be (160\/12)\/(2\/(-6)). Let g = l + x. Solve -k - 4*s + 5 = 11, g*k = 5*s + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -17, 3, 2, -1\/7, 1\/5, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3*z - 52*k*z**2 + 701*z**2 wrt k.\nAnswer: 6*k**2*z - 52*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/3839 - 203440\/34551. Let q = 418\/69 + -9\/23. Let k = s + q. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -2705*y**2\/2 - 2559*y - 6334. Differentiate l(u) with respect to u.\nAnswer: -2705","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*l - 8970 = 55*l + 5*d, 4*l - 2*d = 7182. What is the least common multiple of 21 and l?\nAnswer: 12579","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1071 - 2*s**2 + 1071.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2567 - -2.7994.\nAnswer: 3.0561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/67 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8569293 to the power of 1\/2, to the nearest integer?\nAnswer: 2927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + (sqrt(847) + -2 + sqrt(847))**2 + 5 + ((-1 + sqrt(847) + -1)**2 - ((sqrt(847)*3 + 2)**2 + sqrt(847))).\nAnswer: -3377 - 275*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50801*x**4 - 45*x**2 + 34001089 wrt x?\nAnswer: 203204*x**3 - 90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/5, -342, -0.1, 0.4?\nAnswer: -342","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-3 - -6) - (-1061 - -1049)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -22. Let f be (-20)\/7 + 3 - 81\/126. Put -1, f, 5, h in increasing order.\nAnswer: -1, f, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * -0.0018\nAnswer: -0.00162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 163609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 148920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 103818.47637 less than 6?\nAnswer: -103812.47637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -557 or -558?\nAnswer: -557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 711 divided by 5\nAnswer: 711\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 12696*y. Let f(w) = -87*w. Determine f(a(p)).\nAnswer: -1104552*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -5*p**4 - 2730*p**3 + 22105*p**2 - 30570*p - 55400 = 0.\nAnswer: -554, -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - x = 275, -5*i = 903*x - 906*x - 689. What is the remainder when i is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(30) + sqrt(30))\/((sqrt(100)*-2)\/sqrt(10))*-4.\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(208))**2.\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 110*s**4\/3 - 130*s. Let y(l) = l**2. Give y(r(h)).\nAnswer: 193600*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - (sqrt(704) + 0 - sqrt(704)) - (sqrt(176) + 0)) + -4 + (sqrt(11) + -5 + -5 - (sqrt(110)*-3)\/sqrt(10)))**2.\nAnswer: -224*sqrt(11) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + -4*sqrt(637)*-1)*-3 + 1.\nAnswer: -105*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 660079 and 490.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-320)\/30 - 8\/(-3) - -85?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30 + -17 - (2 - -1). Let s be (-286)\/(-65) - (-6)\/t. Let j = 270 + -275. Put s, -3, 2, j in ascending order.\nAnswer: j, -3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 297 - -119. Differentiate 19*i + z - 16*i - 358 + 69*i wrt i.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -276\/11 >= -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 11, f: 1, o: 2, a: 2, z: 3}. What is prob of sequence oh?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**2 + 3*o + 1. Let l(d) = 11*d**2 - 7*d - 2. Let c(i) = -13*b(i) - 6*l(i). Give c(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528161357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from jwatjwwvavjtjja?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 4*u**2 + 4*u + 2. Suppose 126 - 118 = -4*h. Determine v(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-63)\/(-5) - (7 + (-148)\/20). Suppose y*x - 4 - 22 = 0. Is 5 a factor of -15*(x - 28\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -0.2. Let d = s + 0.4. Suppose -2*o - 3*t - 1 = 0, 3*o + 2*t + 21 = 4*t. Which is the second smallest value? (a) o (b) -2\/9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 6:50 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -3. Suppose 30*o + 1501 = 4321. What is the smallest common multiple of f and o?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/110 - 118\/286.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10260000 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8186 is divided by 1181?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -8 + 14 + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 12*p = -8*p. Let j(s) be the first derivative of 2\/3*s**3 + 3 - 2\/5*s**5 + p*s + 0*s**2 + 0*s**4. Find the third derivative of j(n) wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1258 - 191. What are the prime factors of y?\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4530?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-7))\/w**(-8)*(w*(w**(2\/5)\/w)\/w)\/(w**(-5)\/w))\/((((w\/(w**(2\/9)*w))\/w)\/(w\/w**0))\/(w**3*w**(-1\/7)\/w)) assuming w is positive.\nAnswer: w**(3616\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -3, 12.\nAnswer: -3, -1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -59, -97, -141, -191, -247?\n\"Answer: -3*h**2 - 29*h - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.787828 millilitres?\nAnswer: 0.005787828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -218 - -310. Suppose -102*t - q = -79*t. Which is the fourth biggest value? (a) -3 (b) -0.01 (c) 3\/7 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2478 is divided by 271?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10643 and 2666318?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -5.2. Let q = 5 + -5. What is the closest to a in -2\/15, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -589*b**2*f**2 + 2*b**2*f*x**2 - 2*b**2*x**2 + 5*b*f**2*x**2 - 43*b*f - 4*b*x**2 - 3*b*x - 2*f**2*x**2 wrt b.\nAnswer: -1178*f**2 + 4*f*x**2 - 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*s - 11069, 207*s + 3*p = 210*s - 8313. What are the prime factors of s?\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b - 26?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 9*c - 6. What is the second derivative of 10*m**5 - m + 8 - c*m**5 + 13*m - 4*m**3 - 12*m**3 - 5*m**5 wrt m?\nAnswer: 60*m**3 - 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*y + 709 = -198*y + 5173 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(190) - (3*sqrt(190) + sqrt(190)))*-2)\/(6*(sqrt(250) + sqrt(250)*-3)) + 4.\nAnswer: -sqrt(19)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 657 = 503. Let q = t - -13338\/23. What is the nearest to 0.1 in 1\/3, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 226, 466, 838, 1408, 2242, 3406, 4966?\n\"Answer: 11*t**3 + 163*t + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3759.\nAnswer: 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 69*t**2 - 76*t + 426. Let u be a(70). Solve -h + 5*v = -13, -v - u = -4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -14 + (-165)\/(-12) + (-7394)\/(-72). Let i be ((-7961)\/108)\/((-2)\/(-3)). Let t = i + l. Find the common denominator of t and -5\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22100120 (base 3) to base 2\nAnswer: 1011111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 564.1473 - 568.19. Let w = g - -0.0427. Which is the biggest value? (a) 3 (b) w (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*r + 4*r = -20, 2*a + 3*r + 15 = 0. Suppose a*h - 5*h - 35 = 0. Let k(o) = -9 - 1 + 5*o + 3*o**3 - 4*o**3 - 6*o**2. Calculate k(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2528745930?\nAnswer: 2, 3, 5, 41, 685297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7, -49, -101, -149, -193?\n\"Answer: 2*h**2 - 62*h + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 594*o - 179*o + 3735 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*z = -0*l + 17, -3*z = -2*l - 2. Let g be (2 - 28\/(-5))*l. Let q = -21 + g. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1385*j + 5248 = -262*j + 86104 for j.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -214.622 minus -224?\nAnswer: 9.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6828043191 to the nearest integer?\nAnswer: 1897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5469 - -1?\nAnswer: 546a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 6:24 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*p - 106*p + 1020 = 66*p + 58*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*w + 4978 + 2*w**4 + 4*w**3 - 4978 to a*w**4 + u + y*w + r*w**2 + p*w**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 - 3*s**2 - 4*s + 4. Let i(b) = -15*b**3 + 21*b**2 + 27*b - 27. What is -4*i(o) - 27*z(o)?\nAnswer: 6*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u + 6*u + 5*u - 20*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q\/((q\/(q\/q**(-1\/5)))\/q)*q)**(4\/13))**(-2\/69))**(-28))**(-2\/15) assuming q is positive.\nAnswer: q**(-3136\/22425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f**(-2)*f*f*f**(-3)*(f**(3\/2)\/f)\/((f*f**3)\/f) assuming f is positive.\nAnswer: f**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506867037934 - 506867037934 - 18*y**3.\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**7\/42 - 97*g**4\/4 - g**3\/2 - 261*g**2 - 2612*g. What is the second derivative of d(r) wrt r?\nAnswer: 20*r**3 - 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464*l = -1636 - 18316 for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 1. What is the closest to -0.1 in 1\/6, y, 4\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25 and -363.51.\nAnswer: 9087.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + 3*p - 3*p + (1 + 2 - 1)*(-2*p + 3*p - 3*p) + 26*p + 133*p + 82*p + 0*p + p + 0*p as t*p + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 26 = -2 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 150.129, 8, 0.7 in descending order.\nAnswer: 150.129, 8, 0.7, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 14. Let g = f - -11. Suppose 0 = i + 2*t - 2, 3*i + g*t - 6 = -t. Solve -a = -5*u + 4, 3*a = -i*u + a - 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -8 - (8 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + (-3 + sqrt(153))**2.\nAnswer: -18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -10\/3*u**3 + 0*u - 9 + 0*u**2 - 1\/60*u**4 + 0*u**5 + 1\/900*u**6. Let c(v) be the third derivative of p(v). Factor c(l).\nAnswer: 2*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 6:16 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 35 = -4*v. Solve -v*q = -10*q - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-368 + 871 + 556)*(2 - 3*o - 2).\nAnswer: -3177*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-1)*(-3)\/(-4). Let c be (-1)\/(-3) - (-21)\/k. Let n be (1*(-6)\/12)\/1. What is the third smallest value in c, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.025 + 2.335. Let j = f - -1.69. Is j > -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*g + 2*k - 43, 0 = -2*g - 2*k + 42. Suppose 4*o = -o + g. Find the second derivative of -7*n**4 + n + 3*n**4 + 0*n + 3*n**o wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -52\nAnswer: -5\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 g when three letters picked without replacement from wwgvggsgwwgmgwg.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.489 + 2.38. What is v rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2*422\/((-3)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19400 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67 and 737?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 897073093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13806.2 and -4.\nAnswer: 13802.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 14 - 1 - 1)*(-52 + 52 - 4*n) as b + f*n and give f.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54900.06 years to months.\nAnswer: 658800.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 83 = -5*k, -4*i - 2*k - 96 = -5*k. Let o = i - -63. Is (26\/6)\/(2\/o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9282 divided by 238\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 151, 197, 275, 385, 527, 701?\n\"Answer: 16*o**2 - 2*o + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1550)\/(-775)*2\/220*-1.\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m**4 - 1192*m**3 + 18903*m**2 - 9227*m + 1144 = 0.\nAnswer: -88, 1\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hahh when four letters picked without replacement from {h: 3, a: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -85340?\nAnswer: -1\/85340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1846)\/(-65))\/(1\/115) + -2 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 9. Let y(c) = 2*c**2 + 4*c - 925. What is 4*v(l) - y(l)?\nAnswer: -2*l**2 + 961","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osc when three letters picked without replacement from soousuccccu.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -8, 0 = -3*p + 8*p - 3*r - 447013. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*t, 4*b + 0*b = -8. Suppose -t*k + 7 = -31. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i + 1 + 4*i - 6.\nAnswer: 11*i - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/10120 and 31\/2024.\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15867 and 27?\nAnswer: 47601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f. Let j(y) = -y**2 + 1. Let m = -15 - -12. Let a(d) = d**2 - d. Let o be a(m). Let s(l) = 7*l**2 - 4. Let w(n) = o*j(n) + 3*s(n). Give g(w(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*y - 4*r, 7*r - 16 = 2*y + 3*r. Differentiate 3*l + y - l + 3*l wrt l.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 5871.3.\nAnswer: -52841.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**3 + 7*c**2 + 10*c + 5. Suppose -2*m - 30 = -q, -6*q + 2*q = -2*m - 102. Calculate the remainder when q is divided by x(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 583.596253 - 583.6. What is g rounded to four decimal places?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 0.3. Let i = 0.25 - 0.25. Let t = 2 - 4. What is the smallest value in i, x, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**3 - 3880*s**2 + 129495*s + 133380 = 0. What is s?\nAnswer: -1, 36, 741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-21)*183\/(-122)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -569 - -5.1?\nAnswer: -563.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -7. Suppose 0 = -2*w - n + 20. What is the lowest common multiple of w and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**3\/2 + 25*t**2\/2 + 247*t. Calculate d(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = 2*r, 2*m - 90 = -5*r. Let j be (-408)\/85*m\/(-6). Calculate the greatest common factor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 13. Calculate j(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -204 + 1024\/5. What is the third smallest value in r, 3, 1\/11, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1528, 1526, 1524, 1522?\n\"Answer: -2*x + 1530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 6*h**2 + 7*h + 5. Let u be y(-7). Let t = u - 7. Let b = -4 + 6. Put t, b, 5 in decreasing order.\nAnswer: 5, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*m - 56*m - 11*m + 1000 = 0 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*a - 2*a + 189. Put -116, a, -6 in decreasing order.\nAnswer: a, -6, -116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 201 - 12. Is 29 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145071460 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6921 is divided by 497.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 3*a + 205 = 0. Let y = a + 43. Suppose 3*w + b = 3, b + 0*b = -4*w + 5. Solve w*q - q = y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 8:25 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, 1.9, 1029, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 30 = -2*f, 2*x - 5*f + 4 = 13. Let a(b) = b**2 + 6*b + 5. Let m be a(x). Calculate the lowest common multiple of (m\/7)\/(2\/12) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (3 + 64 + -37 + 130).\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from ccccbcb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 5. Let a = j + 3. Let d be ((0 - 1)\/(-2))\/a. Is d >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(15)\/sqrt(5) + (-1*sqrt(192))**2 + (sqrt(300) + -2)**2 + 2.\nAnswer: -35*sqrt(3) + 498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.3 (c) -4 (d) 0.317 (e) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2204\/23 or -96?\nAnswer: -2204\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 928908 or 5?\nAnswer: 928908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9983, 2, 0.4, -873\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 106\/3. Let s(t) be the first derivative of l*t**3 + 1\/2*t**2 - 1 + 0*t. What is the second derivative of s(i) wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.29 + 198566.36.\nAnswer: 198568.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 13 (c) 0 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + -15.2. Let x = -0.4 - w. Let s = x + -14.028. What is s rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3684872.\nAnswer: 2, 460609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 40*z - 276. Let x be l(7). Solve 0 = -c + 5*c + i + 3, 3*c = -x*i - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(2\/4)\/(-6 - -7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 2:36 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47)\/188*(-4)\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 214, -2\/9, -3\/8, -34, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188 = 122*g - 28*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**7\/840 + x**6\/72 + x**5\/120 + 5*x**4\/24 + 4*x**3\/3 - 16. Let a(k) be the third derivative of v(k). Calculate a(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/2 - 27*m**3\/2 - 57*m**2\/2 - 29*m\/2.\nAnswer: m*(m - 29)*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8310199?\nAnswer: 23, 361313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 13*m - 9*m**2 + 15*m**5 - 69*m**3 + 28*m - 21*m**5 - 39*m**4 = 0. What is m?\nAnswer: -3, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -16*n - 104. Let y be u(-7). Solve -3*z - 20 = -y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s - 24. Let t be k(-11). Let h = 289.4 - 249.4. Which is the third biggest value? (a) t (b) h (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3783892022?\nAnswer: 2, 6121, 309091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -383*d - 489. Suppose -3*r - 523 + 535 = 0. Let o(y) = 191*y + 244. Let g(a) = r*j(a) + 9*o(a). Differentiate g(k) with respect to k.\nAnswer: 187","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 5*k - 32, -4*k + 4*d + 49039 - 48999 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -153\/4. Let h = -27.022 + 0.022. Let s = h + 28. Sort i, s, 0 in decreasing order.\nAnswer: s, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 2*q + 12. Solve 0*z**3 + 0*z**q - 2*z**4 + 24*z + 4*z**2 - 5*z**3 - 18 - 3*z**3 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44557 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 5*x + 35, -15 + 5 = -2*d - 2*x. Let f be d + -2 - (3 - 2). Which is the closest to 1? (a) -2 (b) f (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, r: 9, v: 5}. What is prob of sequence vorr?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -131, 1\/3, -2, 1\/5, 19, -3 in decreasing order.\nAnswer: 19, 1\/3, 1\/5, -2, -3, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -168238.\nAnswer: 168237.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k + 19. Determine j(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000603645 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 30*d**3 - d**2 - d + 2. Let p be x(2). Suppose 244*z - 32 = p*z. Solve 9 = z*i + 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -2.7, 11\/24.\nAnswer: -2.7, -0.06, 11\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9 - 33\/(6 + -9). Solve 4*z = -f*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 75*u + 431. Let j(k) = -k**2. Determine j(f(t)).\nAnswer: -5625*t**2 - 64650*t - 185761","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6682*k - 6769. Is t(-48) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.92839 > 3.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 408438604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -8. Suppose p = -5*o - 1, r = -4*o - 2. Suppose -p = -2*k + 6. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2684*v**2 - 4*v + 4 + 5*v - 684*v**2.\nAnswer: 2000*v**2 + v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*y = 2*m - 18, 2*m = -4*y + 20. Solve -2*d + 12 = m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**3\/3 + 6*q**2 + 5*q + 514. What is x(8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 + 81. Suppose 2*v = z - 7. Are -3 and v equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11, -8, -5?\n\"Answer: 3*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 55\/2?\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1908382 is divided by 2778.\nAnswer: 2674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6560 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(8) - (sqrt(72)*3)\/sqrt(9)) + 5.\nAnswer: -sqrt(13)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.37 - 0.01. Let p = i + -3.62. Sort p, -5, 0.4, 5\/6 in decreasing order.\nAnswer: 5\/6, 0.4, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - f. Let r(k) = -6*k**2 + 10*k. Let d(u) = 10*l(u) + r(u). Let o(p) be the third derivative of p**5\/30 + 76*p**2. Determine d(o(i)).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**5\/30 - 7*z**4\/24 + z**3\/3 + z**2. Let a be g(6). Calculate the highest common divisor of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**4 + 3*c**3*d**2 + 28*c**2*d**2 + 6*c*d**2 - 54*c*d wrt c.\nAnswer: 12*c**2 + 18*c*d**2 + 56*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3216487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -50*b**4 - 565*b**3 + 4125*b**2 + 565*b - 4075 = 0.\nAnswer: -163\/10, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2401569 by -2401569.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 0*s - 2. Let z(k) = -2*k. Let f be z(s). Suppose f*m + m - 6 = 0. Are m and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -194 + 7*w - w**2 + 87 - 3*w**3 - 25*w**5 + 107 wrt w.\nAnswer: -1500*w**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 2*o + 10*o + (0 + 1 - 2)*(2 - o - 2))*((-4 + 0 + 2)*(-78 - 2*o + 78) + 0 - o + 0) to the form q*o**2 + t + n*o and give q.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 - 64199\/(-21). Let y = l - 3051. Find the common denominator of y and 61\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, -4, 322870, -1.\nAnswer: -12, -4, -1, 1, 322870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/(-1*sqrt(10)*6))\/(sqrt(40)\/(sqrt(10) + sqrt(10) + sqrt(30)\/sqrt(3)*5)))**2.\nAnswer: 245\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11482485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 910 by -70.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 26*w - 166. Determine d(-31).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -7 (b) 6\/119 (c) -1\/6 (d) 0 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*10\/(-30) - (0 - 1). Solve -4*w + 3*t = 0, -5*w + 0*t - h*t = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 151*v - 458. Let h be g(3). Solve -20*i + 17*i = -5*u + 5, -5*u = -h*i - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14859, 14741, 14647, 14589, 14579?\nAnswer: 14629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 12 = 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 16 = -2*t. Suppose 2*s - 14 + t = 0. What is the derivative of 0 - s - h + 3 + 4 wrt h?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + 218 - 41 - 174*p + 96*p + 78*p.\nAnswer: 3*p**3 + 177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 12*g + 2 + 2 - g. Let m(d) be the second derivative of d**3 + d**2 - 36*d. Suppose 7 = -44*z + 45*z. Determine z*m(h) - 4*k(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.06, -37 in increasing order.\nAnswer: -37, 0.06, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*x - 11 = -63 - 54 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + p + 3*p + 46*p**4 - 45*p**4 + (4 - 4 - 2*p**3)*(p + p + 0*p) - p**4 + p**4 + 2*p**4 to d*p**2 + n*p**3 + x*p**4 + f*p + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12052 + -7858. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 5*z + 20, -2*c - 18 = -5*z + 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*q + 4. Let n(f) = -59*f**2 - 12*f - 44. Let y(a) = -17*a**2 - 4*a - 14. Let t(u) = 2*n(u) - 7*y(u). Determine t(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 43*u - 25. Let f be w(8). Suppose 0*q = -q + f. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12008 + -11744. Calculate the greatest common factor of 627 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -2)\/10 - (13725467\/70)\/(-31). What is the highest common divisor of 55 and g?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 574*r - 569*r + 4*s - 46, -9*r = 4*s - 70 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-70))\/((-11)\/((-55)\/(-6))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwccnwnnncn. What is prob of sequence cnnw?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 590*t - 97*t + 1505 - 492*t as s*t + o and give o.\nAnswer: 1505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -5 + 7 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44.5 - 44. Which is the third smallest value? (a) -0.4 (b) 7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l + 6. Solve 0 = 2*c - l - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 46178, 46573, 46958, 47327, 47674?\n\"Answer: -p**3 + p**2 + 399*p + 45779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -172, 15\/7, 1\/2, -3?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2785, -2789, -2795, -2803, -2813, -2825?\n\"Answer: -c**2 - c - 2783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7794*i**2 + 6652*i**2 + 75138*i**2 + 8867*i**2.\nAnswer: 98451*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1240 + 1754. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nln when three letters picked without replacement from nnhnpllhlpl.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -61. Suppose -2*s - l = -6*s. Calculate the highest common factor of s and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1 (b) 7 (c) -47 (d) 4 (e) -199 (f) 28\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1502*y + 27037. Determine k(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**2\/4 - 90*r + 2268 = 0.\nAnswer: 36, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 221, 329, 437?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(204) + -1*sqrt(204) - sqrt(204))\/sqrt(12))**2 + sqrt(68)\/sqrt(4)*-6.\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w = 286 + 66. Solve -13*x = 50 - w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/((19 - 13)*2\/8). Let r = 13 + g. Let o(l) = 7 - l - l - r + 4*l. Calculate o(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449*h - 3256 = -453*h. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 6:03 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 21*s + 20. Let c be d(8). Suppose -2*g - c = -4*k, 3*g - 198 = -4*k - 0*k. Calculate the greatest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + p - 140 = -5*o, -3*p = 3*o - 66. Suppose -11 + 3 = 4*v. Let c be (-1 - -7) + 2\/v. Solve p - 10 = c*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/o**(4\/7)*o**(-4))\/(o\/o**(-1\/7)*o*o\/((o*(o*o\/o**(2\/21))\/o)\/o*o)*o))**(4\/17))**(-6\/11) assuming o is positive.\nAnswer: o**(808\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71482*n + 71469*n + 25 + 53, d + 5*n - 33 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13376250, -13376241, -13376230, -13376217?\n\"Answer: y**2 + 6*y - 13376257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + 6\/4*3. Which is the second biggest value? (a) -0.8 (b) 1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-1\/5)*m)\/m)\/m**3*m**0\/m**0 assuming m is positive.\nAnswer: m**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3561 bigger than 3561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 1 + 282*r - 282*r - 14*r**2.\nAnswer: -18*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1424139337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*i + 157*i + 39083 = 0. What are the prime factors of i?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-3))\/(12\/(-9) + 2). What is the closest to x in 11, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 3:57 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/6)\/(((-8)\/4)\/8). Solve -5*h - b = -2*t + 5*t, 2*h + 35 = 5*t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3*i - 20 = -0*y, 5*i - 16 = -4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3 = b, -1 + 2 = n. Does 12 divide 1\/(b - 194\/(-48))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 5 - 7, 3*q = -d + 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*x + 30*x + 407 = 0. Let d = -41 - -62. Calculate the remainder when d is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23121 - -23521. Calculate the highest common factor of 32 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 10:35 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-91 - -61 - (-16 - 0))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67279?\nAnswer: 19, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -17*a**5\/20 + a**4\/12 + a**3\/6 + a**2\/2 + a. Let k be d(2). What is the common denominator of (-10)\/(k\/33 - -1) and -97\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 96 = 2*y, -3*d + 0*d - 68 = -y. What is the greatest common divisor of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.2, 48010, 26.\nAnswer: 7.2, 26, 48010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/8 and -21\/73325566.\nAnswer: 293302264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 1. Calculate the remainder when 80 is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 4409691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 + 18 - (9 + 3 + -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*g - 6, -17 = -5*r - g. Let x = r + -16. Let h = 25 + x. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 59, 4, -0.066 in descending order.\nAnswer: 59, 4, -0.066, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 145*i**4\/8 + 35*i**3\/6 - 68*i**2. What is the first derivative of r(a) wrt a?\nAnswer: 435","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -528.5 - -529. Sort 0.4, c, 18\/5, 0.2 in decreasing order.\nAnswer: 18\/5, c, 0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 17.5. Let g be 2*(-1 + 8\/9). What is the biggest value in g, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 577*s*w**2 - 114*s*w + 2*w**2 - 4*w - 2 wrt w.\nAnswer: 1154*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1114330 - 3322410 - 1816644 = -194*a. Calculate the remainder when a is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 7*u - 12. Let f be x(5). Calculate the remainder when 97 is divided by (-38)\/(-3) - f\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**3\/6 - r**2\/2 - 971*r. Let j(d) = -2*d**3 + d**2 - d - 5. Calculate -2*i(y) - j(y).\nAnswer: 2*y**3 - y**2 - y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(68))\/sqrt(4))**2 + sqrt(833)*-1.\nAnswer: -7*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 4)*((o + 3*o - 3*o)*(0 - 2 + 3) + (-41 - 22 + 12)*(3*o - o - o)) as l + d*o and give d.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.96 + 0.04. Let n = 4.97 - 5. Let v = 3.03 + n. What is the closest to -1 in -0.1, v, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11033 or -7935?\nAnswer: -7935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 29. What is the second biggest value in -4\/5, 2\/7, q?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 1:40 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 38*y + 285 + 274 = 0 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 288 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341953526?\nAnswer: 2, 19, 83, 181, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1175 (base 9) to base 4\nAnswer: 31232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2059*w - 21895. Calculate y(13).\nAnswer: 4872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 6:53 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4837)\/(-56) - (-6)\/(-16) - 1. Let f be (0 - (-1)\/(-2))*-52. Let s = o - f. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 - 39626095535.127.\nAnswer: -39626095535.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pps when three letters picked without replacement from {s: 1, p: 7, t: 8, v: 1}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 9*h**2 - 6*h - 8. Let y be m(-7). Suppose 12 = 8*n - y. Calculate the remainder when 52 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*d = 24, -2*h + 2 = -3*d - 14. Solve h*r = -4*q + 14, 2*r - 12 = -q - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**4\/4 - 7*c**3\/3 + c**2\/2 + 11*c - 419. Let v = -12 + 4. List the prime factors of j(v).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -903*r**3 + 26*r**2 + 53*r + 2. Does 28 divide t(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -21*x - 3330. Give u(-90).\nAnswer: -1440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -54*j. Let h be a(2). What are the prime factors of (h\/(-10))\/(3\/10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 15*d**2. Let g(y) be the first derivative of -128*y**3\/3 - 1526. Calculate g(s(o)).\nAnswer: -28800*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15040 divided by -13309?\nAnswer: -15040\/13309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 8:31 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4533 - -2?\nAnswer: 4535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 12*h**2 - 45*h - 4418. Let f(w) = w**2 - w + 9. Let v(s) = 10*f(s) - 2*x(s). Differentiate v(r) wrt r.\nAnswer: -28*r + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10759 + -10759.3. Let d = -0.6 + 1. Let f = -39\/2 + 271\/14. What is the nearest to 1\/2 in t, f, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*g + 1488 = -207*g + 6200 for g.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (56\/(-10))\/((-18)\/45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465.279063 rounded to the nearest 10?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -545, -545, -555, -581, -629, -705, -815?\nAnswer: -965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*l = 118*l + 546. Suppose -3*m + 6 = i - 144, 2*m + 135 = i. Let q = i + l. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1563, -7203, -16691, -30099, -47499, -68963, -94563, -124371?\nAnswer: -158459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 200020221212?\nAnswer: 200020221201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18618 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (330\/550)\/(4\/(-15)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10211 (base 3) to base 2.\nAnswer: 1100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - k**2 + 0*k + 2*k**2 - 2. Let w be l(-4). Let x be (-39)\/(-4) - (-6)\/(-8). What is the greatest common divisor of x and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4608.80952929 + 4560.80953. Let t = w - -48. Round t to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {p: 2, a: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5252572 - -1?\nAnswer: -5252571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9682, 38585, 86686, 153985, 240482?\nAnswer: 346177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-27) - 137\/9. Let v = n + 9. Let i be 2644\/v + 4\/6. What is i rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839877937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3 + 26*k**2 + 8*k - 104 = 0. What is k?\nAnswer: -2, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 42 - 54. Let c = 404 - 642. What is the remainder when r is divided by (-96)\/(-528) + c\/(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t + 4*t - 2 + 3 + 1 - 3*t**2. Calculate q(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98486472035+-28.2\nAnswer: -98486472063.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/2)\/(3\/2). Suppose -6*o + 4*o = u. Sort -0.1, o, 0.2.\nAnswer: o, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 12:50 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2605, 5, 3 in descending order.\nAnswer: 5, 3, 2, -2605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - g = 364, 4*c = 3*g + 518 - 1981. Let f = -198 - c. Suppose 1402019 - 1401759 = 20*j. What is the remainder when f is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -327. Let c = k - 314. Solve 5 = 4*n - 5*p - c*p, -2*n + 2*p = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 43, 87, 133?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 2*n + 2*n**3 - 38942*n**2 + 38942*n**2 - 2*n**4 to x*n**4 + p*n + h*n**2 + b + i*n**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 12651684.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-609)\/(-5684) - (-2)\/(-8)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*q - 14 = 0, -3*l + 7*l + 3*q - 42 = 0. Calculate the smallest common multiple of 30 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*l = -30, g = 2*l - 5*l + 18. Factor g*f**4 + 12*f**2 - 6*f**3 - 22*f**2 + 11*f**2.\nAnswer: f**2*(3*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 - 7*v. Give w(5).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 6*n + 2. Let z be g(-6). Suppose -12 = -4*r - 2*c - 2*c, z*c = -r + 2. What are the prime factors of (2 - r)*-5*1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 11*b - 6. Let p(d) = 2*d**2 + 18*d - 12. Let l be p(-9). Let m be x(l). Let f(c) = -c**3 + 5*c**2 + 5*c - 7. What is f(m)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 3.4950757369997.\nAnswer: 7.4950757369997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 10 = -96*s + 93*s, -5*s - 3*g - 7 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 782, 923, 1036, 1103, 1106, 1027, 848?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -24*z - 14. Let b(d) = -d**3 + 18*d**2 - 33*d + 10. Let r be b(16). What is the units digit of n(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51387407215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 6. Suppose n*t - 4*f - 42 = 0, -f + 5*f + 56 = 4*t. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18.9? (a) 0 (b) 3\/17 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 102\/(-17)*(0 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14452 + 14456. Sort o, 25, -40 in decreasing order.\nAnswer: 25, o, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.07 (b) 65 (c) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3171295.\nAnswer: 5, 29, 21871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 1. Let b(v) = -v**2 + 12*v + 2. Let w(l) = b(l) - 5*t(l). What is the remainder when w(13) is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 + (-4 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18\/5 of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -365954167 and -0.031443.\nAnswer: -365954167.031443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 9*n - 40. Let a(i) = -17*i + 72. Let v(j) = -3*a(j) - 5*g(j). Suppose -4*f + 18 = 2. Let c be v(f). Solve d = -3 + c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 122*z**3 + 3*z + 4. Let p(g) = 975*g**3 + 25*g + 35. Calculate 3*p(u) - 25*q(u).\nAnswer: -125*u**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278976445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -180, 32 in decreasing order.\nAnswer: 32, 1, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17247a + -26?\nAnswer: -1724a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 39*b**2 - 30*b - 79. Let j(n) = -19*n**2 + 12*n + 39. Calculate -2*f(g) - 5*j(g).\nAnswer: 17*g**2 - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3)\/(m**(-2\/13)*m) assuming m is positive.\nAnswer: m**(-50\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 28*f**2 - 17*f + 5. Let n be (-2 + 9)*(8 + -11). Is g(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - i = -30, 5*r + 6*i = i + 60. Let q be (-28)\/(-6) + (-6)\/r. Let t = 77 - 76. Which is the third smallest value? (a) q (b) -0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7*2*(-3 + 1). Is (c*(-7827)\/(-30))\/(2\/5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.161 and -2?\nAnswer: -0.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 + 1201 = -75*a - 5 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**5 + 14*m**4 + 37*m**3 - 74*m**2 - 96*m = 0.\nAnswer: -3, -1, 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -893827?\nAnswer: -893825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10486 is divided by 1048?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*n, d = 3*d + 2*n - 290. Calculate the greatest common factor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 9)*1*(-1)\/5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**5\/60 + 7*p**4\/24 - p**3 + 8*p**2. Let m be z(6). Calculate the remainder when (1 + m)\/((-8)\/(-256)) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.609 and 0.74.\nAnswer: 0.45066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 384119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/77464394 and -109\/11066342.\nAnswer: 77464394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*k**5 + 68350*k**4 + k**3 - 40512271*k + 2 wrt k.\nAnswer: -200*k**3 + 820200*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2075 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 9. Let c be 1\/(1\/j*-1). Let v(l) = l**3 - 4*l**2 - 4. What is v(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022001 (base 3) in base 15?\nAnswer: 76a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71393540?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4861*a**2 - 6594*a wrt a?\nAnswer: 9722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 0 + 0)*(42 - 42 + 17*o**2)*(-2 + o**2 + 2).\nAnswer: 34*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -4. Let d(b) = 3 + 2 - t - 7*b + 5*b. Calculate d(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -834 + 827 + -6 + (-3 + -108 - -4).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-348)\/4698)\/(46\/3)*-6\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f + 6. Let i(m) = -14*m - 19. Let z(q) = -19*b(q) - 6*i(q). Let t(h) = -28*h. What is 5*t(d) - 12*z(d)?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 10*p**2 + 32*p - 88. What is t(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-371)\/(-21) + -9)*30\/20?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -4*g + 3*k, 436 = g - 2*k + 423 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*y + 5*d, d = -3*y + 9 + 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**5\/20 + 7*c**4\/12 + c**3 + c**2 - 4*c. Let g be d(-6). Let q be (148 + 4\/g)*18. What is q rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - s - 6 = 0, p - 5*s + 16 = -p. Let r be (5\/p)\/(-5)*6. Calculate the smallest common multiple of 6 + r + 0 - -7 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 5. Let a be (-3906)\/c - (-11)\/(-55). Let l = -344 + a. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29, 364, 909, 1652, 2581?\n\"Answer: -2*o**3 + 117*o**2 - 2*o - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 - 12) + 8 - ((19 - 4) + -27).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1540 + 2?\nAnswer: -1536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -279.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-33)\/9*-411 + 9\/3 is divided by 454?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2645*d + 731 - 1467 + 736)*(2*d + d - 2*d) as o*d + m*d**2 + t and give m.\nAnswer: -2645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 10 + 29*v - 11)*(12*v**3 - 4*v + v - 7*v**3) to y + x*v + o*v**4 + g*v**3 + h*v**2 and give h.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 143*o. Let h(a) = -429*a. Let j(w) = -11*c(w) - 4*h(w). Let l(m) = 2*m**2. What is j(l(s))?\nAnswer: 286*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*q + 6. Suppose -5*v - 4 + 3 = 4*d, -v = q*d - 2. Put 4, 5, v in decreasing order.\nAnswer: 5, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3 + 8. Suppose m + 199 = 3*r + 2*m, h*r = -m + 333. Round r to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 7)*(-q**2 + 3*q**2 - 3*q**2 + (4 - 4 + 2*q)*(4 - 4 + q) + 3*q**2 - q**2 + q**2 - q - 2*q**2 + q).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -21. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/608261 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2 - 3) + 3 + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000216 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -2\/5, -25, -9, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*b - t, -3*b = t. Let a be (1 + 1)*2\/16. Is b at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25453082 and -5.\nAnswer: 127265410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -201*v + 7100. Calculate a(31).\nAnswer: 869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 3\/(15\/(-10)). Let j be (4 - 2)*1 - a. Let p(y) = 101*y**2 + y. What is the units digit of p(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 12*w - 26. Let a be ((-4)\/(-6))\/((-1)\/(-6)). Let k be (-2)\/((-1)\/(a\/w)). Solve l = -k*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.17 - 12.83. Let f = i + 9. What is the third biggest value in 0.5, -1\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -150875718\/11 or -13715973?\nAnswer: -150875718\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -298*b**3 + b**2 - 165*b - 166. What is u(-1)?\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 578092\/5 or 115617?\nAnswer: 578092\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/324800 and -17\/7308.\nAnswer: 2923200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 833, 834, 835, 836?\n\"Answer: c + 832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h - 1. Let q be n(-1). Let z be (-7)\/21 + (-123)\/9. Sort z, q, -5 in increasing order.\nAnswer: z, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -0.6. Let h = r - -0.5. Let t = 0.11 + h. Round t to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + z - 4 = -0*z, -13 = 4*g + 5*z. Let x = -30 + 51. Calculate the greatest common factor of g and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from shusonhhshsshl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + j + 1. Let d be q(-2). Suppose p - 1 = -3, 135 = w + d*p. Suppose -17*n - w = -20*n. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42516?\nAnswer: 2, 3, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 31 times 5276\nAnswer: 163556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (25 - 32 - (-1 - 10))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/126*(9 - 9 - 3)*-6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqfqqqqqtqqqq. Give prob of sequence qt.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2630a1 (base 16) in base 6?\nAnswer: -125351041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbbb when four letters picked without replacement from zzzzzbzzzbb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 26*f**3 + 2*f**2 - 11*f + 8. Let b(h) = 58*h**3 + 5*h**2 - 21*h + 17. What is -4*b(v) + 9*x(v)?\nAnswer: 2*v**3 - 2*v**2 - 15*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 + 4*g - 6. Let b be j(2). Sort b, 3, -1, -4.\nAnswer: b, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 4*c - 2 - 4 = 0, 0 = -3*c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84)\/(-2*sqrt(12)) - (-1 + sqrt(175) + sqrt(7))) + 1)**2 + (sqrt(14) - (sqrt(224)*2 + sqrt(14)) - sqrt(14))\/sqrt(2)*-2)*-6.\nAnswer: -3597\/2 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 251067 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-30)*((-5)\/(-2) - 4). Let v = 0.129 + -2.129. Sort -1, k, 2\/15, v in descending order.\nAnswer: 2\/15, k, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/10)\/f**(-1\/16) assuming f is positive.\nAnswer: f**(29\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 3:34 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*t + z - 12 = -79*t, t + 36 = 3*z. Factor 0*h**2 + t*h**3 - 4\/9*h**4 + 10\/9*h**5 + 0*h + 0.\nAnswer: 2*h**4*(5*h - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -13609*c + 108862. What is y(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from {d: 1, s: 1, n: 1, y: 2, w: 1, z: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2*s - s)*(7 + 6 - 7).\nAnswer: 6*s + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t - 9 = -11*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 5. Let n be ((-4)\/(-3))\/((-12)\/(-18)). Suppose -k*x - 15 = x, 0 = n*g + 5*x + 5. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -160, -324, -524, -772, -1080?\n\"Answer: -2*o**3 - 6*o**2 - 132*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, j: 1, e: 3, x: 6, y: 3}. What is prob of sequence jy?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 85*q**2 + 388*q - 31527. Give h(-74).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 19 + 3*t**3 - 19 + 9*t**2 - 27*t + 15 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.046, -1245, 2\/17 in decreasing order.\nAnswer: 2\/17, 0.046, -1245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 2. Suppose 4*w - 3*w - 91 = -5*r, 2*w = -z*r + 68. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 11:26 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135 + -103. Let m = f + -31.96. Let u = 0.6 + -0.2. Which is the third biggest value? (a) -0.2 (b) u (c) -3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c - 3. Let i(g) = -3*g - 1. Let q(s) = 5*i(s) - 2*z(s). Let p be q(-1). Suppose -m + p = -2*f - 0, 4*m + 2*f = 24. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -172.8 - -173. Let q(j) = j**3 + 7*j**2 + 5*j - 10. Let z be q(-6). Which is the biggest value? (a) -2 (b) z (c) -0.4 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69877 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/44 in 2, -32937, -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/83260 and -83\/690.\nAnswer: 249780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 8*g + 4. Let u be i(9). Let w(m) = -5*m + 4. Does 11 divide w(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzzt. What is prob of sequence ttz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 20*f - 32*f + 17*f + 9*f. What is o(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219790665 is divided by 2090?\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 28 + 26 + 9*l - 15*l - 8*l.\nAnswer: -16*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*((-15)\/(-6) + -1). Let i = 38 - 67. Let a = 27 + i. Put 8, p, a in ascending order.\nAnswer: a, p, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1001908296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 19*m**2 - 14*m + 9. Determine s(19).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mommmommmm. What is prob of sequence om?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 1:22 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 6*r - 3. Let p(o) = 2*o**2 + o. Does 3 divide p(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1368715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/3)\/(6\/108). Find the second derivative of 6*t**4 - 13*t - 5*t**4 + s*t**4 wrt t.\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 9493?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -823772.\nAnswer: 3\/823772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*t - 3*t. Let f be (3 - (-3 - t)) + -6. What is the third smallest value in -3, f, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54512 is divided by 1420.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1287.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c9b (base 14) in base 11?\nAnswer: -3a28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 + 3*i**5 - 5*i**5 - i**4)*(-12 - 2 + 19).\nAnswer: -10*i**5 - 5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f + 68 = -11*f. Suppose -5*q + a + 805 = -1330, -5*q + f*a = -2120. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuutusjuutps. What is prob of picking 1 u and 1 j?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2418964929 to 4 dps.\nAnswer: -0.2419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/3)\/2*3. Let w(r) be the second derivative of -r**4\/12 - r**3\/6 + 3*r**2\/2 - 2*r. Let h be w(-3). Sort h, m, 0 in ascending order.\nAnswer: h, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5406000 to the nearest one hundred thousand.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 1 - (-16 + 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3023 (base 7) to base 13\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3780 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -5 (c) -5\/4 (d) 107 (e) 12 (f) -1 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - 4)\/(42\/3200372) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7261692, -7261677, -7261656, -7261629, -7261596?\n\"Answer: 3*h**2 + 6*h - 7261701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 313185*w**2 + 128593*w.\nAnswer: 626370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-6))\/(411\/(-22468)). Calculate the greatest common divisor of 328 and h.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -219, -261, -339, -459, -627, -849, -1131?\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2278*o - 79744. What is f(-35)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-14 + 11 - (-1 - -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*-1*(3 - 2). Let b(r) = 143 - 288 - 2*r**2 + 140 - 7*r. Determine b(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -172.91?\nAnswer: 167.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62.41 + -62. Let t = 15.41 - m. Let f = t + -18.68. What is f rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6011\/3444 + -4\/861. What is the nearest to -2 in q, -3, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/8 not equal to 4528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3740 by 340.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 11*x - 4. Let l be y(11). Suppose n - 3*g + 15 = 0, -85*n + 82*n + 4*g = 15. Put -39, l, n in decreasing order.\nAnswer: n, l, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99 + 548 - 93 + 18)*(4*h + h - 3*h).\nAnswer: 1144*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1 + 1 + 9*n. What is the remainder when o(4) is divided by (9\/6 - -5)\/((-2)\/(-4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9b (base 12) in base 4?\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/4 - 21657*x\/4 + 5415.\nAnswer: -3*(x - 1)*(x + 7220)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -71 times 0.94\nAnswer: -66.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 11*c**2 - 2*c + 1. Suppose 5 = 3*a - 2*l, 5*l + 8 = 2*a + 1. List the prime factors of x(a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 2\/7, -2420.\nAnswer: -2420, 2\/7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2. Let w(k) = 42*k**2 - 97*k**2 + 49*k**2. What is j(w(q))?\nAnswer: -108*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -74, -93, -130, -191?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -577918.834 + 577827.8339931. Let r = -91 - m. Round r to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/52 and 36\/(-81) - ((-8566)\/1008 - -7).\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.61 + -1. Let y = l - -0.3899939. Round y to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5 + 0 = -5*f, -m - 5*f + 20 = 0. Put 4, 0, m in decreasing order.\nAnswer: m, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(512) - (sqrt(512) + 2 + 1*sqrt(512) - sqrt(512))**2.\nAnswer: -516 - 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -70? (a) 1\/4 (b) 5 (c) -2\/9 (d) 4\/343\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1455912 millennia in decades?\nAnswer: 14.55912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3802040974 to the power of 1\/2, to the nearest integer?\nAnswer: 61661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipccipmccb. What is prob of sequence ipmp?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.1 + -2.6. Let f = 2.5 - z. Which is the closest to f? (a) 0.5 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 20 + 4. What is the remainder when (-54)\/(-8) - 15\/20 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -179829*a. Let i(y) = 2*y**2. Calculate p(i(f)).\nAnswer: -359658*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*r**4 - 15*r**4 - 2*r**3 - 10*r**4 + 13 + 47*r**4 - 2*r - 47*r**2 as y*r**2 + o*r + b*r**3 + q + l*r**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 16. Is (t + 2)*(-1)\/2 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5251584 months in centuries?\nAnswer: 0.000437632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21999897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4935 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -340381629 divided by 37820181?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - y + 3*y)*(3*y - 4*y + 7*y) + 4*y**2 - y**2 - 2*y**2 + (y**2 + y**2 - 3*y**2)*(2 - 2 + 2) - 3*y**2 - 14*y + 14*y to q*y**2 + n*y + t and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*h = -10, -2*l + 1 = -l + 2*h. Let i(m) = -m**3 - 2*m**2 - 7. Let w be i(l). List the prime factors of w\/(-8) - (-1539)\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10184 + -10213 + -12 + 0 + 0.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 12 = -d. Let r = -201 - -203. Sort d, -1, r.\nAnswer: -1, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 91070634 and 87.\nAnswer: 2641048386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 11 = -5*z, 0 = 39*x - 35*x + 2*z - 18 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7*g + 3. Let q(l) = -3*l**2. Let v(n) = -420*n**2. Let d(u) = -273*q(u) + 2*v(u). What is d(t(f))?\nAnswer: -1029*f**2 + 882*f - 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/(-3))\/1 + -72. Let h be 517\/l + 4\/(-14). Which is smaller: -36\/5 or h?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-138)\/336 + (-4)\/(-32). Let x = -1 - -0.5. What is the closest to x in u, 0.2, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1507 minus 36125?\nAnswer: -37632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1453746 and -13201.572.\nAnswer: -13201.7173746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 428.9609ml to litres.\nAnswer: 0.4289609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 5. Suppose 5*j = -3*x + r, -x + 1 = -0*j + 2*j. Solve -5*w - 17 = 5*f - 3*w, -x*f + w - 8 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -517104 divided by 126?\nAnswer: -4104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 + 4*z**4 - 2*z**4 + (z**3 + 2*z**4 - z**3)*(1 - 4 + 2).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-170)\/(-8) + (-1)\/4. Let j = 31 - n. What is the smallest common multiple of 8 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29816.\nAnswer: 2, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0588822 kilometers in millimeters?\nAnswer: 58882.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359733?\nAnswer: 3, 11, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.42524 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*(sqrt(17) - (sqrt(17) + sqrt(153) + 0 + sqrt(153) + sqrt(17))) + sqrt(272) + sqrt(272) + 0 + 2)**2.\nAnswer: -17262 + 312*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1101*j = 412*j + 48416 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 13 = 23. Suppose -176 + 26 = -q*o. Suppose 5 - o = -5*g. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2441, -3968, -5495, -7022?\n\"Answer: -1527*w - 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 3:29 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 0*n**3 + 2 + 1\/24*n**4 + 0*n + 1\/30*n**5 - n**2. Let z(x) be the second derivative of l(x). What is z(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3161e (base 15) to base 9.\nAnswer: -257762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1304 = 3*q + 5*p + 1305, -4*q + 22 = -5*p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2200a0 (base 11) to base 10.\nAnswer: -351494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**4\/12 - 5*f**3\/6 - 7*f**2\/2 - f. Let v be (-3)\/2 - 360\/(-48). What is r(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k)**(-12) assuming k is positive.\nAnswer: k**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/180*24*(-7)\/(70\/44).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - o + 233 + 249 = 0, 3*g = -2*o + 285. Let n be -55*((g - -4) + -2 + 1). What is n rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 250915 and 33705?\nAnswer: 2258235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30790\/9 - 3421. What is the nearest to 0 in -0.3, b, -2\/5, -7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.07 rounded to zero decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 28 = -0. Let m = 21 + 16. Let v = -21 + m. Calculate the lowest common multiple of v and d.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 - (-35 + 15 + -4 + 3 - 71).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -34.4 and 47\/52 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -37, -82, -145, -226?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28468 and 1081784.\nAnswer: 1081784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 - 49. Let o be (10 - 11)*(u + -4). What is the greatest common divisor of o and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2153*o**6 + 877*o**4 - 2*o**3 - 7494*o**2 + 27954*o?\nAnswer: 258360*o**3 + 21048*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 0*a**6 + 0*a**3 + 0*a + 0 + 2*a**2 - 1\/42*a**7 + 11\/60*a**5 + 0*a**4. What is the third derivative of y(k) wrt k?\nAnswer: -120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/321? (a) -2 (b) 4\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -725 or -726?\nAnswer: -726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15275452, 4\/7, 0.4 in increasing order.\nAnswer: 0.4, 4\/7, 2, 15275452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 5, -7\/135, 5\/7, -4 in decreasing order.\nAnswer: 24, 5, 5\/7, -7\/135, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73675631*h**3 - 60726487*h**2 wrt h?\nAnswer: -442053786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuym. What is prob of sequence yu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -121751193?\nAnswer: 4\/121751193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -334*a**4 + 12*a + 2*a**3 + 0*a + 339*a**4 wrt a?\nAnswer: 60*a**2 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4 - (-11)\/12. Let b = -17941 + 17935. Put q, 2\/7, -1\/5, b in descending order.\nAnswer: q, 2\/7, -1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5633*q**3 + 129*q - 129. Let f(w) = -88*w**3 - 2*w + 2. Determine 258*f(o) + 4*x(o).\nAnswer: -172*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**6\/120 + p**5\/60 - p**3\/6 - 7*p**2. Let b be g(0). What is the closest to 0.1 in -2\/5, b, -4\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*r**3 + 1012*r**3 - 2486*r**3 - 1119*r**3.\nAnswer: -2829*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7005 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**6\/180 + 2*y**3\/3 + 3*y. Let o(w) be the second derivative of d(w). Determine o(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 25 - 18 + 7*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 1 + 24*r**3 - 27*r**3 + (-2*r**2 + 0*r**2 + 0*r**2)*(7*r - 943 + 943) + (-r - 3*r + 5*r)*(-2*r**2 + r**2 - r**2).\nAnswer: -19*r**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49281.21l to millilitres.\nAnswer: 49281210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-14)*v**(-15))**(-7))**(-1\/3) assuming v is positive.\nAnswer: v**(-196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxhtd. What is prob of picking 1 x, 1 t, and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 10.7. Let n = i + -3.3. Let o = -65.6 + 65.7. Which is the nearest to n? (a) 0 (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1950 is divided by 85?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/390 and 57\/40.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 7*f. Suppose -5*l + 5*v = -30, -2*v + 2 - 10 = -l. Let s = f + l. Sort s, -2, 1 in descending order.\nAnswer: s, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**2. Suppose 2*q = 5*q. Let n(m) = -m**2 + 0 + q - m**2. Calculate n(u(a)).\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 14, z: 4}. Give prob of picking 2 u.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 1:25 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -187, -149, -111, -73, -35, 3?\n\"Answer: 38*p - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/16)\/(4\/(-8))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -7)*2*(2\/(-74))\/(2060\/618)\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489149139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 123320234 (base 5) in base 10?\nAnswer: 604444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-3)\/39) - ((-440)\/484 - (-30)\/33)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -250, -644, -1038, -1432, -1826, -2220?\n\"Answer: -394*z + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 13 = -5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12317.3 rounded to the nearest one hundred?\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2050, -5, 3, 4, 2576 in ascending order.\nAnswer: -5, 3, 4, 2050, 2576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1350679841171 and 24.\nAnswer: 1350679841195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + (sqrt(245) + (sqrt(245) - -2*sqrt(245) - sqrt(245) - sqrt(245)))**2 + -3 + sqrt(180).\nAnswer: 13*sqrt(5) + 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6490*0.26\nAnswer: -1687.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 3)*(-3 + 4 - 10)*(-1 + 1 + f)*(3 - 1 + 2) as z*f + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101111221 - 2022000?\nAnswer: -110210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 721726 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3672 and 155136492.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) -0.04 (b) -2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - 138\/(-23) - -83773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19658157, -19658164, -19658177, -19658196?\nAnswer: -19658221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*l**3 - 1418*l**3 + 1381*l**3.\nAnswer: 63*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36, -81, -150, -255, -408, -621?\n\"Answer: -2*v**3 - 31*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 52361.461 to the nearest 1000.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1410*r**2. Let m(o) = 19*o. Give m(l(u)).\nAnswer: -26790*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s - s)*(-2*s + 5*s - 2*s) + 124 - 7*s**2 - 124.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -452, -557, -626, -641, -584, -437, -182?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*n**4 - 101*n**2 + 103*n**2 - 1280*n**4 + (0*n**2 + 0*n**2 - n**4)*(0 + 0 - 2) + 2*n**4 - 3 + 3 - 3*n**2 + 3*n**2 + n**4 + 0*n**4 + 3*n**4 - 5*n**4.\nAnswer: -1248*n**4 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -107, -99, -89, -77?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 9*i - 111 = -25*i. Solve i*f + 8 = -4*d + 4, -3*d - 3 = -3*f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -o + 3640, -k = -6*k - 5*o + 4535. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754 is divided by 258?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43970473.\nAnswer: 107, 607, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*t + 22 - 2 = 0, b = -t. Let o be (10\/15*-3)\/(4\/b). Is o equal to -1\/168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-441)\/126*(774\/(-210) + (-6)\/10).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -105*d**5 - 1726*d**3*m**2 - 12*d**2 - 2*d*m**2 - d*m + 51*m**2 + 4*m wrt d?\nAnswer: -6300*d**2 - 10356*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 - 5*m + 19 + 4*m + m - 14.\nAnswer: -3*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316, -300, -272, -226, -156?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 - -0.5. Let z = r - -0.5. Let g = -16.7 + 17.7. Which is the third biggest value? (a) z (b) 2\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l**3*n*u**3 + 119*l**3*n*u**2 + 1001*l**3*u**3 wrt n.\nAnswer: -2*l**3*u**3 + 119*l**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242517797.\nAnswer: 242517797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l - l - 11 + 6*l - 5*l - 2 + 2 + (2*l - 3*l + 2*l)*(-1 - 4 + 4) - 2*l + 3*l - 2*l - 2*l - 2*l - 2*l to i*l + g and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -16. Let u be (-2)\/3 + (-58)\/(-6). Suppose 2*d - 1 - u = g. Solve -p = y - 0*p + d, -4*p - 20 = -5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*w - 12 + 261*w - 452*w.\nAnswer: -523*w - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5 - 67291*v**4 + 1009584*v**3 - 403960*v**2 - 8345776*v + 11307408 = 0. Calculate v.\nAnswer: -67306, -3, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -35. Let q(z) = z**3 + 13*z**2 - 15*z - 8. What is the least common multiple of q(c) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -914530 divided by 3?\nAnswer: -914530\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 - 5*s**2 - 5*s + 3. Suppose -7*q - 9 = -10*q, 5*q = -h + 20. Let p(v) = 2*v + 3*v**2 - 1 - v**3 + v**2 - 2*v**2. Give h*p(c) + 2*i(c).\nAnswer: -c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 32 = 9*p. Solve -1 - 3 = p*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -258.\nAnswer: 17\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*m + 49*m + 390 = 165 - 405 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*i + 2\/15*i**2.\nAnswer: 2*i**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-2 + (-8 - -16 - 8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2*w = -301*y + 301*y, 3*w + 48 = 4*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.8 and -13?\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/578 and -81\/2890.\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7 - b**2 - 2 - 4*b**2. Let d(o) = o**2 + 2. Let r = -64 - -73. Give r*d(y) + 2*v(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 3*r - 34. Let y be g(-5). Let d be ((-82)\/1)\/(y\/(12 - 0)). Round d to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.1 - -3. Let k = 0.2775 + -0.0775. What is the nearest to 0.1 in 1\/2, b, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from {h: 2, m: 7}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 765310457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -517 + 524. Solve -5*w - 2*w + j = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 i, and 2 p when four letters picked without replacement from mippppkcmkdkcckpmicp.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480726261.\nAnswer: 3, 3389, 15761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - 8*g + 6. Let n be x(6). Suppose 12 = 3*y, -2*p - 3*y = -n - 20. Calculate the highest common factor of 152 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 3:33 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 230424?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h**(-7))\/h))\/h*h\/(((h\/(h\/(h*(h\/h**(-2\/7))\/h*h)))\/h)\/h))**20\/((h**(-3)\/h)\/((h**5*h)\/h*h)*(h**(-2\/3))**(-21\/2)) assuming h is positive.\nAnswer: h**(1101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2. Let p(w) be the first derivative of 5*w**2\/2 - 12. Determine q(p(x)).\nAnswer: -50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b + 5. Let h(u) = 2*u + 1. Let k(s) = s. Let y(r) = 2*h(r) - 5*k(r). Let o be 1*1\/2 - (-420)\/(-56). Determine o*y(c) + 3*z(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 3*t + 3 = -5*g + 8, 14*g + 38 = 5*t + 108 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + a + 144, -118*q + 116*q = a - 291. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -265\/4 (b) 36 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12092*m - 55 - 1708 = 12051*m for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = l - 10*l. Suppose l = -6*x + 19 + 5. Solve -2*p = -5*g - 3 + 17, x*p = 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1494.45477 rounded to the nearest 10?\nAnswer: -1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*k - 1425 = 255*k + 396*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 55725559078081 - 0.5\nAnswer: 55725559078080.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0 - 3. Let v = 7.6 - 9. Let l = v + 1.6. What is the closest to 0.2 in s, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-9)*(11 - 2). Suppose -2*m - 23 = -m - 5*w, 4*m - w = z. Suppose -2*g = -m*c + 88, -3*c = 2*g - 17 - 95. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 179846?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13 * 517.22\nAnswer: -6723.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 171\/(-95)*(-15)\/9. Suppose -r + 1 + 2 = 0. Solve 0 = r*c + 3*h - w, -4*h = -0*c + 5*c - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -55, -67, -95, -145?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t**2 - 1 + 4*t**2 - 12*t + t**2. Let o be z(-12). Which is smaller: o or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 63*w - 33*w - 34*w)*(34 + w - 34 - 86*w).\nAnswer: 340*w**2 - 680*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 6*x + 4. Suppose 0 = 5*t - 2*r - 32, 1 = 5*r + 6. Let a(w) = -w. Let j(d) = t*a(d) + q(d). Differentiate j(g) wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-27 + 2 + -1). Suppose -a - h = 35. Let m = 98 + a. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8555 is divided by 277.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**5\/2 - 110*i**4 + 465*i**3 - 710*i**2 + 955*i\/2 - 120.\nAnswer: -5*(i - 1)**4*(i + 48)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 137, 132, 113, 74, 9?\n\"Answer: -t**3 - t**2 + 5*t + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (4 + (8 + -4 - 6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in hours?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.3 + 0.7. Let l = -233224 + 233226. Let q be (6\/4)\/(1 - 2). What is the closest to -1 in f, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 110 = 3*q. Let h(v) = 4*v**2 + 5*v - 2. What is the remainder when h(-4) is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, -6.01, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) -0.09 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**3 + 3 - 3 - 30 - 5*t**3 - 2*t + 30 + (-2 - 2 + 3)*(4*t**3 - 7*t**3 + 9*t**3) in the form x*t + b + w*t**3 + c*t**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*b - 285 - 183 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 321\/5 + (-32)\/10 + 3. Suppose -309*r + 560 = -302*r. What is the greatest common factor of r and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.95 in -71, 0, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2691060 divided by -10\nAnswer: 269106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 40029373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1913824 at least -1913824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2047014, -2047060, -2047106, -2047152, -2047198, -2047244?\n\"Answer: -46*l - 2046968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177383*m**2 + 30477575 - 30477575.\nAnswer: 177383*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2251 - 2250.8. Put x, 2\/663, -0.4, -4 in descending order.\nAnswer: x, 2\/663, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 10:13 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in micrometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 4*k - 4*k + k)*(1 + 6*k**2 - 3 - 4*k**2).\nAnswer: -2*k**5 + 4*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or 158543?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-180) - (-40)\/(-100)*226\/(-88).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - (0\/7 + -3)) + 2. Put t, -79, -2 in descending order.\nAnswer: t, -2, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38358609?\nAnswer: 3, 3371, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8ee3 + -2?\nAnswer: -8ee5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v**2 - v**2 + 52*v**2.\nAnswer: 66*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 1016.57260199?\nAnswer: -1016.47260199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-105)\/(-40) - (-5)\/(200\/15). Solve -2*m + v*d + 5 = 23, 0 = -5*m - 4*d + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 10. Let m be 63\/2 - (-3)\/j. What is the highest common factor of 12 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*d + 1058 = -252 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 1. Let x be (-2)\/(1 + -2 + 4\/12). Let u(s) = -6*s**2 + 2*s - 2. Let n(r) = x*u(r) - 6*o(r). Let c(b) = -2*b. Calculate c(n(a)).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 11*n**2 - 9*n - 3. What is m(-10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 11033027*j + 11033027*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 16\/5*z**4 + 77\/5*z + 82\/5*z**2 - 1\/5*z**5 - 98\/5 - 76\/5*z**3 = 0. What is z?\nAnswer: -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 9) to base 10\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2471101?\nAnswer: 2471101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5087838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 1805*l**4 + 772350*l**3 + 82580465*l**2 - 8699100*l + 228980 = 0.\nAnswer: -214, 1\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1457043?\nAnswer: 3, 7, 69383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n + 7. Let y(p) = 7*p + 6. Let o be 0 + (-5 - 3) - -1. Give o*y(b) + 6*l(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 19, 50, 93?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 20\/202479?\nAnswer: 20\/202479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 6714?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - -38. Suppose -z + 35 = 4*z. What is the highest common factor of z and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270462, 1082122, 2434980, 4329036?\nAnswer: 6764290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8375 and 301295650?\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 k, and 1 z when three letters picked without replacement from hhzhk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55625 = -176*h - 47705 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -40, -95, -158, -229?\n\"Answer: -4*i**2 - 43*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 28*q**2 + 13*q**3 - 12*q**3 - 16 - 35*q**2 - 6*q. Let y be u(8). Let j(s) = 3*s - 4070000. Let m be j(y). Round m to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40)\/70 - 6843376\/(-14). Suppose 2*h + 95062 - a = 0. Let o be h*1\/((-12)\/256). What is o rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -161, -5, -15, -3, -1, 4 in decreasing order.\nAnswer: 4, -1, -3, -5, -15, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 - (1 + 1 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - 1.1. Let j = -26\/5 + 29\/5. Sort -3\/4, z, j in decreasing order.\nAnswer: j, z, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3001, 5988, 8989, 12010, 15057, 18136, 21253, 24414?\n\"Answer: h**3 + h**2 + 2977*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 121*m + 126*m + 23996, 0 = -c + m + 5998. Calculate the remainder when c is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -175489 greater than or equal to -175482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -41*l**6\/20 - 181*l**5\/60 + 75*l**2. Find the third derivative of x(d) wrt d.\nAnswer: -1476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236588260, -236588258, -236588256, -236588254?\nAnswer: -236588252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62 * -85772.\nAnswer: -5317864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/2527)\/(4\/14).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*y, -87*y = -2*a - 85*y + 1912. What are the prime factors of a?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/19, 0.3, -0.3449 in decreasing order.\nAnswer: 5, 0.3, -2\/19, -0.3449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t. Let j(l) = l**2 - 3*l + 4. Let f be j(3). Let p = -7 + f. Calculate n(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-10))\/((-2)\/(-10)). Suppose -3*f + 6 = -0*z + 2*z, 4*f + 5*z = 8. Let x = f - t. Put 5, x, -1 in descending order.\nAnswer: 5, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9577 + 9641. Solve 0 = 66*q - h*q + 14 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -228 - 1592. Let o = -1819.99996678 - g. Round o to 6 decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 920 and 0.5?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 307286 divided by -20?\nAnswer: -153643\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2422*o = 2421*o + 4*y + 17, -8 = -4*o - 4*y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -2297*y**6\/30 + y**3\/6 + 25*y**2\/2 + 2008*y. Find the second derivative of t(p) wrt p.\nAnswer: -27564*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 552\/(-340)*15\/9*2. Are m and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 605\/4 - 153. Let d = -2 - n. Let r = -2\/3 - -7\/6. Is r smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 568072457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h - 19. Suppose -3*v + 2*g - 38 = 0, 0 = -4*v + 5*g + 16 - 69. Let a be s(v). Suppose 0*k + a*k = 375. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -553592760 divided by 110718552\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 18 - 3 = 0. Suppose -4*k - 38 = -2*c - 16, s*c = -4*k + 3. Suppose c*q = -5*v + v - 29, -2*q + 22 = -4*v. Is -6 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - z - 9 = j, -3*z + 8 = 2*j. Sort 1, j, -4, 3 in increasing order.\nAnswer: -4, 1, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/5 + 2228*o**2\/5 - 1049792*o\/5 + 21065024.\nAnswer: 2*(o - 188)**2*(o + 1490)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5080 = 5*o - o, 4*m = 3*o - 3808. Let k = 10203\/8 - o. What is the common denominator of k and 71\/64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 434 divide 27241746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 44 in descending order.\nAnswer: 44, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6571, 6464, 6271, 5980, 5579, 5056, 4399, 3596?\nAnswer: 2635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9004 + -3045. List the prime factors of r.\nAnswer: 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71155288 is divided by 82835?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 425502 and 16632.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37 - -1c?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 349*a + 21294. Give f(53).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 427120 divided by -281\nAnswer: -1520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 7. What is the least common multiple of 16 and l(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**4\/4 - 2*k**3\/3 + 119*k**2. What is d(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 0, 14, 48, 202 in ascending order.\nAnswer: -4, 0, 4, 14, 48, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 6:41 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**3 - c**3 + 0*c**3 + (0*c**2 + c**3 + 0*c**2)*(1 + 5 + 2)*(-2 - 3 + 1).\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 212389385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**8\/168 - q**7\/70 + 13*q**6\/30 + 34*q**4\/3 + q**3\/3 - q**2 - 6*q + 2. Find the second derivative of k(h) wrt h.\nAnswer: -40*h**3 - 36*h**2 + 312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of -5 + 2 + 23 + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20116 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1671282 or -1671278?\nAnswer: -1671282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 97*p + 2. Let g be n(-3). Let h = g - -487. Suppose 2*k + 5 - 41 = 0. What is the highest common factor of k and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 19773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 11 + 3. What is the highest common factor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.19 greater than or equal to -17\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 4, 114, 160, 2\/3, -2\/23?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-27)\/12)\/(183\/(-96) - -2). Let m = -22 - q. Suppose -3*g = m*b - 27, 3*b - 5*g - 130 = -2*b. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/488663971 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*k**2 + 19*k**2 - 5*k**2 + (3*k + 0 + 0)*(-2*k + k + 5*k) as y + t*k**2 + u*k and give t.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86105208.\nAnswer: 2, 3, 7, 512531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/12)\/(1\/(-3)). Let v be 4 + f + -3 - 2. Let b be v\/12 - 5\/15. What is the second smallest value in -0.03, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 21. Let v = 46 + o. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**8\/273 + 418*t**7\/1365 - 1189*t**6\/780 + 1147*t**5\/390 - 439*t**4\/156 + 55*t**3\/39 + 2373*t**2. What is s in x(s) = 0?\nAnswer: -55, 1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*g = -1309, 5*j - 2*j = g + 985. Suppose -4*n = -0*n - j. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6480 is divided by 832?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7 - 15 - 2475\/(-60) and -93\/1696?\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m. Let i(w) = -17*w. What is n(i(h))?\nAnswer: -51*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 126 = -0*b. Let d = b + -67. What are the prime factors of d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -4. Let c be w\/8 + -3 + 0. Let z be (-2)\/(-7) + 13\/(-21). What is the nearest to 0 in c, z, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2000334 by 333389.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -32bc (base 14) in base 2?\nAnswer: -10001001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 4*p + 2*p)*(-p + 5*p**2 - 23 - 4*p**2 - 72).\nAnswer: -2*p**3 + 2*p**2 + 190*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 115*a - 27. Let p(y) = -113*y + 41. What is -3*b(f) - 2*p(f)?\nAnswer: -119*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + l + 5. Is (-3)\/l*22\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/14 - -3*(-9448)\/(-84)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55916 (base 12) in base 6?\nAnswer: 2234030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 4*g - 136. Let j be f(43). Let p = j + -524. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1830.028966 to the nearest integer.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**4\/9 + 7*q**3\/9 - 2*q**2 + 20*q\/9 - 8\/9 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = n - 60, 5*n - 4*n + 36 = 3*x. Suppose -w + x = -7. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.7 - -10.7. Let x be 1*7 + 2 + -1. Let q = x - 13. Which is the third biggest value? (a) i (b) q (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(84) + sqrt(84)*2)*1 - sqrt(84))\/sqrt(12))**2 - (2 + (sqrt(252)*1 - sqrt(112)*4))**2.\nAnswer: -760 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.015 - -0.095. Let o = x - -52.92. Let n = o - 52.9784. Round n to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401*g - 390*g - 99 = 0. Let q(n) = -n**2 + 2*n + 5. Let x(u) = 4*u**2 - 9*u - 21. Calculate g*q(p) + 2*x(p).\nAnswer: -p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -76, -2035, -8410, -21745, -44584, -79471, -128950, -195565?\n\"Answer: -424*b**3 + 336*b**2 + b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msxqqxqmqxxxvxvx. Give prob of picking 1 m and 1 s.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9*-3*(1 + 0\/3). Calculate the greatest common divisor of p and 423.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 - -73. Let d(u) be the third derivative of 0 + 1\/12*u**z + 0*u**3 - 1\/90*u**5 + 2*u**2 + 0*u. Solve d(g) = 0 for g.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -538 + 48964\/91. Which is smaller: g or 1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and (6\/(-4))\/((-27)\/72)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u + 7*u + 9*u + (-1 + 3 + 0)*(0 + 0 - 2*u) - 9*u + 0*u - u as n*u + c and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371*w - 2752*w - 1798*w.\nAnswer: -4179*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t = 18*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-792)\/1161 + 2\/3. Let f = z - -143\/903. Let n = 18 - 18.7. Which is the second smallest value? (a) n (b) 1\/4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -443*a - 6590. Let n be y(-15). Solve -17 + n = -19*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + 2*q**4 + q**2 + (3 + 2*q**2 - 3)*(0 + 0 + q**2) - 22*q**3 + 22*q**3 + 13*q**4.\nAnswer: 17*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4949 by -44.\nAnswer: -4949\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-24) - (-1209)\/248. Let z = -3 + 3. Suppose i*h = x + 2*x + 116990, z = 2*h + 4. What is x rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 8. Suppose o + m = 5*o. Suppose -4*y - k = -o*k - 21, 4*y + 2*k - 14 = 0. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 134.2581 to 2 decimal places.\nAnswer: 134.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.824 - 0.076. Let p = 13.1 - i. Let c = 16.999944 - p. What is c rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 2\/15, 1\/18, -2\/13?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.131*4.855\nAnswer: -0.636005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 168\/5 (c) 12\/5 (d) -4 (e) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3675142.\nAnswer: 2, 251, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 >= 14906.313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 48020.\nAnswer: -3\/48020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20d5 (base 15) to base 16.\nAnswer: 1b26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 272791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 + 3*l**3 + l**3)*(-4*l**2 + l**2 + l**2) + 8*l**5 + l**5 - 2*l**5.\nAnswer: 5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1408*x = -701*x - 704*x + 4*j - 22, 0 = 9*j - 36 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39934 divided by -23?\nAnswer: -39934\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/6)\/j*j)\/j*j)**(-11\/3)*(j*(j\/(j*j**(1\/4)\/j)*j)\/j)**(7\/2) assuming j is positive.\nAnswer: j**(397\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + v + 2*v**3 - 2*v**3 + v**3 + 0*v**3 + (-v + 2*v**2 + v)*(-v - 2 + 2) + 28*v**3 - 80*v**3 + 28*v**3.\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13126 - 13145.062. Let a = -19 - f. What is a rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7513934 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 2)*(3*y - y - y) as c + l*y and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 2*f**2 + 2*f + 2. Let l be h(7). Let j = 521 + l. What are the prime factors of j?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 35*o. Let z(b) = -10949132*b**2. What is z(y(i))?\nAnswer: -13412686700*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*f. Let k(j) = j + 170. Let m be k(f). Suppose -3*b = 2*b - m. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17831.9 - 13032. Let v = x - 4944.592. Let i = 145 + v. Round i to two dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 4. Let l(a) = 5*a**2 - 2*a + 6. Let j be l(4). Let x(t) = -534*t - 82. Let n be x(0). Let h = n + j. Give m(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -443.4 (b) -0.8 (c) 159\/2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 2*j**2 - 2*j + 1. Let l(t) = 3*t + 6. Let w be l(-3). Calculate n(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/29, 1\/2, 1, 0.07, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.154, 17, 2\/3?\nAnswer: 0.154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 - 3*w - 4. Let l(u) be the second derivative of u**4\/12 + u**3\/6 + u**2\/2 + 8*u. Give -7*l(g) - 2*t(g).\nAnswer: -g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14 and (-47)\/(-252) - (-30)\/105.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 70444.77 meters?\nAnswer: 70444770000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1088)\/5712)\/(6\/7)*-3*(-5)\/(-65)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 633b (base 15) to base 12.\nAnswer: 10185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**5\/(p*p**(-3))*(p\/(p*(p\/(p\/(p\/(p\/(p\/((p*p\/p**(1\/4)*p)\/p))*p))*p))\/p))**(2\/25)*((p**(-1\/2)\/p)**(-19\/2))**(-41) assuming p is positive.\nAnswer: p**(-11539\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 - -12?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -2\/3, 7, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 17*o + 2. Let d(a) be the second derivative of a**3\/6 - 16*a. Determine x(d(r)).\nAnswer: 17*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -29*x**4\/8 - 188*x**3\/3 - 360*x**2. Differentiate y(p) with respect to p.\nAnswer: -87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.47*-4368.\nAnswer: -2052.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 319, 1267, 2847, 5059?\n\"Answer: 316*n**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - 2*x + 3*x)*(2*x**3 + 5*x - 5*x - x**2) + 2688*x**2 - 2*x**4 - 2716*x**2 + 9*x**4 as r*x + j*x**2 + d*x**4 + h + l*x**3 and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/((a*a\/((a\/(a*a\/a**(-1\/6)))\/a))\/a)*a*a**37*a**(-1)*a**(-6\/37)*a*a assuming a is positive.\nAnswer: a**(8363\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**5\/20 + k**4\/4 + 5*k**3\/3 - 17*k**2\/2 + k. Is m(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 4. Let r be c(0). Suppose r*o = o + 12. Solve 1 - o = 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooopiqooqooqppi. Give prob of picking 2 i and 2 p.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 2*y**2 + 12*y - 1. Let d be l(4). Are d and -48 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 2. Let o be s(2). Suppose o*y = 3*y. Is 17 - (3 - y\/2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 181939 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680979561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 0*q**3 + 2*q**2 - 29*q - 257*q + 103*q.\nAnswer: -2*q**3 + 2*q**2 - 183*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8*(-3)\/3 - 4. Put -56, w, 1 in descending order.\nAnswer: w, 1, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(60) + sqrt(480)\/sqrt(8)))\/(sqrt(1200) - 2*sqrt(1200)).\nAnswer: -4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89289 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let d(f) = 5*f**2 + 7*f + 80. Let m(z) = -2*z**2 - 3*z - 39. Let t = 96 - 103. Let h(w) = t*m(w) - 3*d(w). Calculate h(r(c)).\nAnswer: -c**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -239 + -332. Let n = f - -570.99564. Round n to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 22 = 2*n + n, 7 = 2*n + p. Let y be (-2)\/(3*(0 - n)). Is y at least 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y - 175. Let q(p) = p**2 + 22*p - 963. Let v(o) = 11*f(o) - 2*q(o). Let m(j) = -j**2 + 8*j - 10. Let r be m(7). Give v(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2608.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(80)\/(-3*sqrt(8)))\/((sqrt(50) + sqrt(450))\/sqrt(10)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.39999927 + 0.4. What is l rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1359022, 1359024, 1359028, 1359034?\nAnswer: 1359042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(44) + 4.\nAnswer: -2*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i + 2*i - 156674 = 8*i - 156818 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -13*f**2 - f - 5 - f**3 + 2*f - 2*f + 26*f**2. Is m(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**5\/20 + 5*b**4\/12 - 4*b**3\/3 - 9*b**2\/2 + 4*b. Is i(-6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 491436 divided by -374.\nAnswer: -1314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p. Let b(x) = 91*x - 1. What is b(g(r))?\nAnswer: -91*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b - 24. Let h(l) = 4*l**2 + 6*l - 6. Let p(s) = 7*s**2 + 11*s - 11. Let w(z) = b*p(z) - 11*h(z). Let r(o) = 6*o**2. Give w(r(v)).\nAnswer: -72*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10 and -4029.\nAnswer: -4019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-720)\/90)\/((-4)\/(-30)*(-12 + 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 87\/5 of a milligram?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*a + 251*a - 72*a = -216*a + 19520 for a.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3836 + 3881. Solve -5*w = -u + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 3*h**2 - 3*h - 3. Let d be w(-3). Let y(l) = l**2 - 5*l + 2. What are the prime factors of y(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x*x\/x**(2\/3))\/x))\/(x\/(x**(-12)*x)))\/(x**(-6)*(x*x**(-2\/9))\/x))**(-13) assuming x is positive.\nAnswer: x**(598\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18043679?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-0.2\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 388, 563, 546, 241, -448, -1617, -3362?\n\"Answer: -16*b**3 + 287*b + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/6800?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 53, 4.1, 0.1791, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -54804 divided by 4567?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from pupppiupppi?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4464.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*x - 9, -x - 8 = -3*o - 0*o. Suppose d = -5*n + 3, 1 = -4*d + 2*n + 13. Suppose -i = o - d. Solve -3*b - 5 = -i*v - 2*b, -4*b = 4*v - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8 + 2*h - 22 - 14 - 14 + h**2. Let j be g(7). Solve 4 = -2*w - 3*y, 3*w + 1 + j = -2*y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1668 is divided by 236?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2022000201 - -102?\nAnswer: 2022001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -324a8 (base 12) to base 11\nAnswer: -45955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1809 = 1233. List the prime factors of p.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 7:31 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -97*z**2. Let i(c) = -1941*c**2 - 144. What is i(a(u))?\nAnswer: -18262869*u**4 - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + o = 5, 0*s + 97472*o - 97468*o = -2*s + 90 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jcjjbcbjccnjnjjjc. What is prob of sequence nnbj?\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 69 = 94. Suppose 3*r - 87 = -m*i, 84 = 4*r - 4*i - 64. What is the remainder when r is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**3 - 215*w**2 + 200*w + 420 = 0. What is w?\nAnswer: -1, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006823159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and 2.536?\nAnswer: -3.0432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 364491863 to the nearest integer?\nAnswer: 19092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4\/5 + 51*h**3 + 1823*h**2\/5 + 2877*h\/5 + 262 = 0. Calculate h.\nAnswer: -5, -1, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 462004632 a multiple of 1747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**4 + 34*n**3 - 1370834*n**2 - 3539751.\nAnswer: 8*n**3 + 102*n**2 - 2741668*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2, 6 = 3*x + 4*g - 2. Solve 0 = -i - x + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-825*b**3 + 68*b**4 + 825*b**3)*(11 + 3*b - 5*b - 5*b).\nAnswer: -476*b**5 + 748*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llle when four letters picked without replacement from eeleeeleele?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(98)*5 - (-3 + sqrt(98)*-2)) + 4*(sqrt(800)*2 + sqrt(800)).\nAnswer: 3 + 324*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 3)*(2 - 2 + 3)*(b**2 - b + b) + (6*b + 16*b + b)*(-3 + b + 3) to the form c*b + a*b**2 + v and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-57309)\/(8 + 437\/(-46))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*c = -300, -5*k + 0*k + 2*c = -408. Let y(j) = 12*j - 3. Let z be y(-4). Let v = z + k. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70748\/(-17687)*7\/(-8)*-2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 + 13*k**2 + 48. Let c(b) = -b**3 - 5*b**2 - 18. Let j(q) = 8*c(q) + 3*g(q). Suppose 0 = 3*h - 1 + 4. What is j(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4239 and 270?\nAnswer: 42390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24\/7? (a) 0.2 (b) 0.1 (c) 2038\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968237788 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*r + 3*r - 48, 0 = -5*j - 4*r + 86. What is the lowest common multiple of 10 and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74.116 + 74. Round y to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86738 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - ((-8)\/28 - (-654)\/(-210)). What is the closest to 35 in m, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2168*z + 3. Let v(n) = 4342*n - 6. What is -7*c(y) - 4*v(y)?\nAnswer: -2192*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432)*2 + sqrt(432))*4)**2*-2.\nAnswer: -124416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/15*183\/(-1). Let j = r + -35. Solve -j = -5*p - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3808*k - 3808*k - 2*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9*(4 - (-112)\/(-21)). Let c be (-35)\/9 - (-16)\/n*-3. What is the nearest to c in 5, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 76 + 1049*k**2 - 78 + 2581*k**2 - 6*k**3 + 3*k**3 - 694*k**2 as o*k**3 + v + y*k + j*k**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.009 + -0.491. Which is the third smallest value? (a) -10\/17 (b) 0.03 (c) g (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-105)\/2)*(525\/108)\/35.\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*s**3 - 1 + 5 + 3 + 3*s + 3 wrt s.\nAnswer: -36*s**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 - 21 - 18 - -16\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20620512 - 25?\nAnswer: 20620454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 14 + 8 = -h, 2*o - 64 = -4*h. What is the second derivative of 22 + h*c - 51*c**4 + 24 - 27*c + 7*c wrt c?\nAnswer: -612*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 9 + 63 = 0. Suppose -3 = -3*q, -2*t - 2*q - 49 = -5*q. Is p > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*y**4 + 5*y**3 - y**2 - 356*y wrt y.\nAnswer: -312*y + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/10 and -79\/2090.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -97*b + 8910. Determine q(92).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 3*g - 3. Suppose a = b - 3, -9 + 7 = -2*a - 2*b. Let i be v(a). Sort i, -32, -5 in descending order.\nAnswer: i, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, f: 14}. Give prob of sequence nfff.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iniinizinnn. What is prob of picking 2 n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k + 78. Let o be c(0). Suppose 258 = -4*i + o. Let r = i - -143. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s**3 + 11*s**2 + 6*s - 8. Suppose -2*d = o + 2*o + 21, -4*o = -3*d + 11. Let u(v) = 4*v**3 + 7*v**2 + 4*v - 5. What is o*b(p) + 8*u(p)?\nAnswer: 2*p**3 + p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.27 - -0.27. Let s be (-2)\/(-6) - 2\/(-6). Which is the second smallest value? (a) s (b) 2\/11 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and (-542)\/(-26) + ((-84)\/78)\/(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28412039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen quarters of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + q + 5*q)*(15*q - 7*q + 7*q) to d + z*q + j*q**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 10, 5*o + 4*p = 8*p + 141475. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -1 + 0*b**3 + 3\/2*b**2 - 1\/2*b**4 + 0*b. Find the second derivative of z(j) wrt j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 880, 2312, 4448, 7288?\nAnswer: 10832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(125) + 0)*6.\nAnswer: -24 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(18\/11)\/t)\/t**(5\/7))**8 assuming t is positive.\nAnswer: t**(-48\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2568.997436 + 2569. What is s rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150098.\nAnswer: 2, 13, 23, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 0 (c) -2207 (d) 3\/5 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 6*c + 8. Let n = 7 - 10. Let r = n - -9. Is 3 a factor of v(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (39 + -28)) + (-5 - (0 + -22)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 5:57 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8486 + 8476. What is the closest to i in -4, -3, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23548 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 827\/8 + -223\/8. Let q = h + -76. Which is the nearest to q? (a) -8 (b) 2\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -28*v - 2594. Let k be b(-93). Solve 21*y - 136 = -k for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -931*x - 4. Let m be t(-5). Let w = m + -107008\/23. Let a = -477\/2 - -257. What is the common denominator of a and w?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -118, -195, -272?\n\"Answer: -77*x - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67274882 is divided by 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6043246 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 192*s**3 - 7*s**2 - 7*s + 7. Let a(y) = -64*y**3 + 2*y**2 + 2*y - 2. What is -7*a(v) - 2*r(v)?\nAnswer: 64*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 34*x**2 - 110*x + 78.\nAnswer: -2*(x - 13)*(x - 3)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6064 + 1184. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 440\/150 - -7 - 10\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from ememeeeeeeeeeeeeee.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1450 and 15370.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -5\/29, -3, -0.1752, 1\/4 in decreasing order.\nAnswer: 1\/4, -5\/29, -0.1752, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*p - 24 = -49*p. Suppose -3*a + 403 = 4*m, -p*m + 131 = a - 262. What are the prime factors of m?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -341 - -669. Calculate the remainder when x is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 5:52 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 465*((-3)\/2 - 10\/(-4)). Suppose -460*d - 4180 = -y*d. Is d a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*y - 2)*(-2 + 7 + 1 + (2 - 2 + 3)*(5 - 4 + 1)) as b*y + g and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 4*j + 20, -16 = -4*t - 3*j - 2*j. Suppose p + t = 4*k, -5*p - 5*k = -k - 51. Let g(s) = 4*s - 21. Does 2 divide g(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -584, -589, -598, -611, -628, -649?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2 (c) -3 (d) 52 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - 0. Let s = -0.7 + 1. Let a = s - r. Sort a, -1, -0.3 in decreasing order.\nAnswer: a, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 67*h - 918. Let v be a(-25). Solve 83 = 7*n + v for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a factor of 731790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 0 (b) -4 (c) -1\/5 (d) 0.0368 (e) 1.45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/453 and -13\/33.\nAnswer: 4983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -36*o**2 + 466*o + 26. Let h be z(13). Solve y + 4*t - 16 = h, 0 = 4*y - 6*t + t - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 147\/20*d**4 - 2 - 24\/5*d + 18*d**2 - 126\/5*d**3. Factor u(b).\nAnswer: 3*(b - 2)*(7*b - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 958 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: Calculate -6 + (-4 + 2 - 42) + 2.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -872784 and -872565 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 226*t - 211*t - 60. Solve -w + 9 = 5*s, -20 = -4*s - 0*w - t*w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2778 - 943. Let r = s - 793. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7389.225 hours to milliseconds.\nAnswer: 26601210000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2645699 divided by 13033\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-2\/3)*b)\/b)**(-10\/3)\/(b**(-1)\/b**2))\/((b**1)**(-16\/11))**(-3\/10) assuming b is positive.\nAnswer: b**(719\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8 - 4 = 0. Suppose -8 = 5*l - 2*a - t, l = 2*a - 9. Let k = 0.17 - -0.03. What is the nearest to l in k, -2, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5931 - -2?\nAnswer: -5929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 m, and 1 b when three letters picked without replacement from llmlllbtllllllt?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000874335 to six dps.\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-36)\/20)*(-2 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2651*p + 14*p**4 - 43*p**4 + 27*p**4 + 17*p**3 + 11*p**4 wrt p?\nAnswer: 108*p**2 + 102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49*g**3*r + 4242*g**3 - 3591*r + 108 wrt g?\nAnswer: -147*g**2*r + 12726*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/sqrt(108) - (sqrt(20) + -1).\nAnswer: -5*sqrt(5)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/o*o\/(o\/(o**(1\/4)*o))*(o**(3\/2)*o*o)\/o*o**0)\/((o\/(o*o**5\/o))\/(o*o**(-1\/2))*o\/(o*o\/(o*o*o**(2\/5))*o)*o*o**5\/o) assuming o is positive.\nAnswer: o**(57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286008860.\nAnswer: 2, 5, 107, 133649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -137? (a) 0.3 (b) -0.5 (c) 26662\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5, -w + 7 + 4 = -5*z. Let k be (z - 1)\/(-9)*0. Let b be 3*(k - 2\/(-3)). Solve b*h + 25 = -5*m, 2*m + 9 + 1 = 5*h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68252.56 rounded to the nearest 100?\nAnswer: -68300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-three halves of a kilometer?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101010010100 + -101?\nAnswer: 1101010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 u, and 1 e when four letters picked without replacement from {w: 2, t: 2, u: 4, e: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(300)*-2)*1 + 2)**2 + ((-1*sqrt(4356))\/(sqrt(768) - (sqrt(768) + (-1*sqrt(768) - sqrt(768)))))**2.\nAnswer: -2*sqrt(3)\/5 + 34867\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 11:25 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*z - 688 = -72. Solve q - 4*q + z = 4*l, 4*q - 2 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*u - 18. Suppose -j - 2*r + 104 = 0, 4*j - 2*j - 3*r - 180 = 0. Let y be -9*(j\/(-18) - -5). Sort -5, y, 4, u in ascending order.\nAnswer: -5, y, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-10 - (-7 + -8) - 15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 48*p - 109. Let l(m) = 23*m - 52. Determine 5*l(s) - 2*w(s).\nAnswer: 19*s - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from brnraraarrrarrb.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 133*x + 37. List the prime factors of r(6).\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174 divided by -1501\nAnswer: -174\/1501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/15755557 and -1\/10.\nAnswer: 157555570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 738390?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - 171.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 8:06 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*i**2*s**3 - 2658*i**2*s**2 + i**2 + 473*s**3 wrt s.\nAnswer: -60*i**2 + 2838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 3*a - 4. Let i be v(-8). Let p = 115 - i. What is the remainder when p is divided by 1 + -2 + 5 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920284800 rounded to the nearest one million?\nAnswer: 920000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -151 less than or equal to -54112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**5 + 6*l**4 + 2*l**3 - 48*l**2 - 99*l - 54 = 0.\nAnswer: -3, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1013 is divided by 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872)*3 + sqrt(1872) + 2.\nAnswer: 2 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v**3 - 3*v**2 + v + 1. What is s(3)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {b: 5, m: 2, k: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -661133205?\nAnswer: -661133203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*q + 84*q + 8 + 11*q + 258*q as d + l*q and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(1706*y**3 - 55*y**4 - 1706*y**3) - 3*y**4 - 7*y**4 + 4*y**4 + y**2 - y**2 - 2*y**4 + (-y**2 + 4*y**2 - 5*y**2)*(-2*y**2 - 2 + 2).\nAnswer: -114*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1704, -1695, -1666, -1605, -1500, -1339, -1110?\n\"Answer: 2*i**3 - 2*i**2 + i - 1705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-12) - (-2)\/30. Let g(w) = -w**3 - 6*w**2 + w - 2. Let h be g(-6). Let q = h - -6. What is the nearest to a in 1\/9, q, 3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2833574.\nAnswer: 2, 107, 13241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.13 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u. Let l(g) be the second derivative of -367*g**4\/12 - 5921*g. What is x(l(p))?\nAnswer: 1835*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34608 divided by 4.\nAnswer: 8652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f + 3. Suppose -2*g - 3*g + 81 = 4*j, -f*j - 2*g = -59. Solve 5 = 4*k + 3*d + 28, -4*k + d - j = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-21))\/(21\/((-252)\/(-32))).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 47*q**2 - 22*q + 5. What is the remainder when 101 is divided by v(24)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.017964 times -7184\nAnswer: -129.053376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mffmmbtmbbb. What is prob of sequence fbmb?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = r - 36, -4*l - 476 + 392 = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2) + 44\/8. Suppose -i*a = -7*a + 66. What is the highest common factor of a and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9 - 715\/(-78))*2\/(-21). What is the fourth smallest value in -3, -0.1, -2, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 = b + 2703. Let j = 8131 + b. What is j rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.38 greater than or equal to -360\/8203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 7:40 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 154066, 308137, 462208, 616279, 770350, 924421?\n\"Answer: 154071*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*16\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*o**3)*(47 + 70*o - 155*o + 88*o) to the form f*o**4 + c*o + v*o**2 + w + p*o**3 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87553271*s**5 - 19301*s**2 + 7*s + 24.\nAnswer: 5253196260*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**4\/5 - 400*v**3 - 503976*v**2\/5 - 1984032*v\/5 = 0?\nAnswer: -498, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.708 (b) 0.5 (c) 0.01 (d) -1\/7 (e) -37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) -1\/2 (b) -5 (c) 3 (d) 4 (e) -19\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 2*j + 0*j)*(-2*j**2 + 0 + 0) - 3*j**3 + 2*j**3 + 0*j**3 + 47563 - 47563 - 19*j - 438*j**3 to c*j + x*j**2 + q + w*j**3 and give w.\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 522 = -45. Suppose -1101 = -2*l + n. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2127626742+4\nAnswer: 2127626746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 + 2*y + 10. Let q be z(-3). Suppose q*p - 426 = 16*p. List the prime factors of p.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6508027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*k = -23, -3*y + 3*k - 4*k + 36 = 0. Solve 5*b - 4*q - y = -2*q, -2*b - 13 = 5*q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 979 and 12149390.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = 5*y - 425. Suppose 5*k = y + 18. Let r = k + -148\/5. What is the closest to r in -5, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1866577*i - 8395 = 1866462*i for i.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 take away 0.372?\nAnswer: -0.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/293 less than or equal to -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.80378 rounded to 2 decimal places?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v - 3. Let k be g(-2). Suppose 19 = 3*s + k. Let q(y) = y + 19. Let a be q(-8). Solve -s*w - a = 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 24 + (-70)\/7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1237477 at most -1236675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cac when three letters picked without replacement from {c: 12, d: 1, a: 5}?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*b**3*r + 473689*b**3 - 486090*b**2 - 4*b*r + 2*b wrt b.\nAnswer: -204*r + 2842134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335541 is divided by 47934.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 261527666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(3\/5)*(r*r\/(r*(r\/r**(-5\/4))\/r))\/r)**(-14))**(-28) assuming r is positive.\nAnswer: r**(686\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 134392*q**2 - 1505056007*q - 1003430402.\nAnswer: -(q - 22399)**2*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1 - 2*d - 1 + 2*d + 9*d. Let i(u) = -4*u + 5. Let a(y) = -12*y + 14. Let q(z) = -4*a(z) + 11*i(z). Let x = -17 - -20. Determine x*h(p) - 7*q(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cciiccfcfiifcc. Give prob of sequence icc.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1336, 6183, 14406, 26011, 41004, 59391?\n\"Answer: c**3 + 1682*c**2 - 206*c - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 172091473\nAnswer: -3\/172091473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - -0.06. Let x = z - 0.3. What is the closest to -2\/5 in x, 3\/4, -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.86 + -452.14. Let b = s + 462.631. What is b rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*m = 451*m - 218*m + 1260 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 92.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-4\/9))\/(v\/v**(-1\/2))*(v**1*v)**(2\/7) assuming v is positive.\nAnswer: v**(-47\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1180 divided by 222111\nAnswer: -1180\/222111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -304133 + -11?\nAnswer: -304144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 43, -0.06, -5, 2170\/3, -0.3, -1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*(x*x**4\/x)\/x)\/(((x**(-1\/5)\/x*x*x)\/x)\/x)*(x*x*x**(-3))\/x**2*(((x*x**(-1)\/x)\/x)\/x**(-2\/3))\/((x\/(x**6*x))\/x*x**(-2\/7)) assuming x is positive.\nAnswer: x**(961\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 64*j**2 - 35. Let a(t) = -4*t**3 + 90*t**2 + 52. Calculate -5*a(n) - 7*i(n).\nAnswer: 6*n**3 - 2*n**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30759 = 2639*c + 283*c + 156249 for c.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from iiiliwliililliiiliil.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20021010 (base 4) in base 3?\nAnswer: -1200202010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10065 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -880 + 909. Suppose i - 4*u - 5 = 0, u - 67 = -9*i + 4*i. Calculate the remainder when k is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 672669800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139 - 138. Is m smaller than -7\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 12 - 81*y - 105\/4*y**4 + 156*y**2 - 243\/4*y**3 = 0.\nAnswer: -4, 2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -8*a + 6*a - 10, -156*q + 363 = -59*q - 5*a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, j: 16}. Give prob of sequence fjjj.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*n = -4. Let i(m) = -m**3 + m**2 + 2. Let b(c) = c**2 - 2*c**2 - 2 + 1. Let v(j) = 3*b(j) - i(j). Give v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33991, -5, -8, -1 in decreasing order.\nAnswer: -1, -5, -8, -33991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + -21. Let u = -41 - -17. Let x = u - m. Solve 0 = -r + 5*y - 5, -x*r - 4*y + 3 - 23 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -1\/12*w**5 - 6*w**2 - w**3 - 1\/8*w**4 + 0*w + 0 - 1\/120*w**6. What is the units digit of r(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 19\/2. Let i = 16 - 18. What is the third smallest value in i, x, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 9:30 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -769 (base 15) to base 5.\nAnswer: -23144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*h + 287 + 338 + 46 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/(-6))\/((-2)\/6). Let z = b + 14. Let c(n) = -n**2 + 7*n - 5. Let a(j) = -j**2 + 8*j - 6. Let u(l) = -4*a(l) + 5*c(l). Give u(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2777.99998093 + -2778. Round n to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 10 - 2*l to the form v*l + b and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 6) + 1 + 3 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 44044.17 hours?\nAnswer: 158559012000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11\/3)*l\/(l*l**(1\/5)))\/(l**(-2\/29)*l)**48 assuming l is positive.\nAnswer: l**(-21122\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101784712 to the power of 1\/3, to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 37\/3, 2, -2\/9, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, -0.44 in descending order.\nAnswer: 0, -0.44, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -5*l - 1230. Suppose 4*m - 1695 = -l. Calculate the highest common factor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 7) to base 11.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 n when three letters picked without replacement from ninziinnzizninzznzi?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(0 - 1) - 3. What is the third smallest value in -2\/3, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 10*d**2 - 9*d - 20. Let i be h(-8). Suppose -a + 2*w - i = 4*a, 3*w = a + 36. Let y be 19\/(1\/2*-1). Which is greater: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1354252?\nAnswer: 2, 338563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*w + 8*w**2 - 3 + 84 - 37 - 44.\nAnswer: 8*w**2 + 21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 v when four letters picked without replacement from {e: 2, w: 4, y: 2, b: 6, v: 4, j: 2}?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -14 - (-26600)\/(-2888)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -11*d**3 + 4*d**2 - 31. Let b be q(-5). Let s(i) = -864*i + 3. Let f be s(-3). Let v = f - b. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 13. Let g(f) = 15*f**2 + 455. Let p(s) = g(s) - 35*w(s). Let z(x) = -11*x**2. What is p(z(q))?\nAnswer: 1815*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 8552.\nAnswer: 76968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + (2 - 1))*240\/(-18). What is the greatest common divisor of 100 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 444122?\nAnswer: -444123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-1 + (-14 - -1 - -13))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - 84\/(-147)*(-11)\/(-2). Let z = 19.1 - 19. What is the nearest to z in -2, a, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -12?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 6.9. Let s = -5 - -5. Let l = h - s. Put l, -3, -1\/5 in descending order.\nAnswer: l, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1424 - -11241443?\nAnswer: 11240014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1967, 7912, 17831, 31730, 49615, 71492?\nAnswer: 97367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (19 + 1 + -9)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 17*l - 21*l, 0 = 3*n - 4*l - 5268. List the prime factors of n.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -133. What is the remainder when p is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24990 and 20.\nAnswer: 49980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**5\/60 + b**4\/12 + b**3\/6 - 34*b**2. Calculate m(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 16 + 35 - 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/15)*m\/(m**(-7)\/m))\/(m**9*(m**(-3)*m)\/m*m) assuming m is positive.\nAnswer: m**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 + 443563*b\/3 - 443566.\nAnswer: (b - 3)*(b + 443566)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25407.43 millennia to centuries.\nAnswer: 254074.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8151.\nAnswer: 3, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/3 + 18*q.\nAnswer: 2*q*(q + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -16*i - 9. Let d(b) = -140*b**2. Give d(u(y)).\nAnswer: -35840*y**2 - 40320*y - 11340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 5*u - 11*u - 165 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14, -37, -76, -131?\n\"Answer: -8*o**2 + o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 11019*z - 66105. What is b(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 0 + 2\/7*n**2 - 1\/7*n = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3887621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -4. Suppose -b = 5*s - 29. Let z be (-2)\/5 + 2\/s. Solve -3*r - 9 = z, -t + 5*r + 9 = -4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2325 and 3044.\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22608835*i**3*k**2 + 1574956*i**2*k**2 - 18*k**2 wrt i.\nAnswer: -135653010*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.6 from 12.8485.\nAnswer: 13.4485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 585, 2266, 5017, 8826, 13681, 19570, 26481, 34402?\n\"Answer: -2*q**3 + 547*q**2 + 54*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -83616 divided by 4?\nAnswer: -20904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 18*v**2 + 25*v - 18. Let z be j(19). Suppose -z*f - 14 = -103*f. Solve -l = -f*p + 13, 0*l = 3*l + 4*p - 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 157*l**3 - 26*l**2 - 5*l - 15. Let f(w) = -236*w**3 + 41*w**2 + 8*w + 24. Calculate -5*f(k) - 8*n(k).\nAnswer: -76*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.052950597 - 2.5227.\nAnswer: -2.469749403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204, -827, -1870, -3333, -5216?\nAnswer: -7519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2*v)\/(v\/(v*v**(-5)*v)))**(-34)\/((v\/(v\/v**(-1\/3)))\/(v*(v\/(v\/(v\/(v*v**(-4)))))\/v))**38 assuming v is positive.\nAnswer: v**(596\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/49196 and -67\/11604?\nAnswer: 142717596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085332?\nAnswer: 2, 271333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-185)\/(-1850))\/(1\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4)\/p)\/(p\/(p\/(p\/p**(-2\/13)))))\/(p**(-5)*p**(1\/3))*p\/(p*p**0*p)*p*p*p\/(p**2*p)*p**(3\/2)\/p**3 assuming p is positive.\nAnswer: p**(-311\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3540 + 2*b - 13652 + 437*b**2 - 3*b**3 - 2399*b**2 - 2*b wrt b.\nAnswer: -9*b**2 - 3924*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 30?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + sqrt(175) + (1 + sqrt(847))**2)*3.\nAnswer: 81*sqrt(7) + 2520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - i. Let w(z) = 5*z**2 + 9*z + 2. Let g(t) = -4*b(t) - w(t). Let p be 2\/(-6)*(1 + -1). Let v be 186\/(-45) + p - (-2)\/15. What is g(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 13.5. What is the second smallest value in -2.2, b, -4?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**4 + 184674*x**3 + x**2 + 295329*x wrt x?\nAnswer: -24*x**2 + 1108044*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 2:18 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n - 5 + 5. Suppose 4*f - 3*f = -0*f. Let b be d(f). Solve -7*a + 4*a - 15 = b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1234 and 41956.\nAnswer: 41956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*i + 5. Solve h - i = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 1:39 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 349.06\nAnswer: 1745.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1693 - -1691. Sort g, -3, -4, 19 in decreasing order.\nAnswer: 19, g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/((-784)\/(-70)))\/(5\/30).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - 0 - (4 + -3). Suppose -f*i + 7 = -3. Suppose i*a = 3*c + 23, -4*a - 4*c + 73 - 17 = 0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -938449\/385 - -26403\/11. Let w = 182\/5 + n. Which is the smallest value? (a) -4\/3 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + l**3 + l**3)*(2*l + 2*l - l + (1 + 0 - 3)*(3*l + 3*l - 5*l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-2\/13)*r)*r)**(8\/7))**(16\/11) assuming r is positive.\nAnswer: r**(256\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7955\/1017 - 5\/113. Find the common denominator of c and -5\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 580565065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 7*y**2 + 5. Let o be d(7). Suppose -3*r - 383 - 97 = -3*p, r = o. Let k = p - 95. What are the prime factors of k?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7453644 and 3324?\nAnswer: 2064659388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(448)*-2 - (0 + sqrt(448) + -4 - sqrt(448)))**2.\nAnswer: -192*sqrt(7) + 1828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25825 and 20660.\nAnswer: 103300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403843263.\nAnswer: 3, 131, 1027591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -999*i = 4348 + 6641 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*k - 16 + 0 + 0 wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1279000138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 936197.9ml?\nAnswer: 936.1979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3308 + 7861. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 818 + 338 = -68*w for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10790.4 rounded to the nearest one hundred?\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/3340 and -45\/28.\nAnswer: 23380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8492642 divided by 4246321?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 3 + 1 + 26 + 70.\nAnswer: -2*k + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 29 (b) 1\/2 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (3 + -6 + -1 + 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1177646?\nAnswer: 2, 23, 25601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/4096 and 43\/12.\nAnswer: 12288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4254 - 4347. What is the smallest value in -1, q, -0.2, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.040066 + 0.04. Round r to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 987631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -99*k - 12. Calculate d(-1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10122809.\nAnswer: 191, 52999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 11:29 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000931435 rounded to six dps?\nAnswer: 0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 plus -129.48051?\nAnswer: -196.48051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s**2 - 47. Let m(z) = 5*z**2 - 48. Let f(r) = -5*m(r) + 4*o(r). Let i(j) = 5397856*j + 2*j**2 - 5397856*j. Calculate i(f(w)).\nAnswer: 2*w**4 - 208*w**2 + 5408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3827 or -12909?\nAnswer: -12909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iggipipwwpzwhpp. Give prob of picking 1 w, 1 z, and 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -9. Let b = i + 12. What are the prime factors of (1 + 21)\/(4 + b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3*f = 13, 2790*i + 4*f + 4 = 2788*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1131 - -22?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 = -457*z + 194*z + 213*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**3\/3 + 6*n**2 - 5*n. Let t be j(6). Solve c - 5 = -t*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.02 (b) 1\/3 (c) -933 (d) 99 (e) -0.005\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 446 - 427. What is the least common multiple of w and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h. Let k be 2 + -1 + -1 + 2. Suppose 4*s - 6 = 2. Let z(p) = 0*p**s - 3*p**2 + k*p**2. Calculate b(z(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-21 - -28 - (-2 + (-1 - 4 - -67)))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 5 - -1)*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 - (-43 - (-24 + 87)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 10) to base 3\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1401042 (base 7) to base 3.\nAnswer: 100102010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*i + 44 = 0, 0 = 3*g + 2*i - i - 22. Suppose g - 4 = x. Suppose d + 2 = 0, 5*p + x*d - 265 + 99 = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 9 + 33 + 8*a - 5*a - 20.\nAnswer: 8*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 64*x**2 - 2*x. Let g be t(-3). What are the prime factors of 2\/3 + 6*g\/27?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/6)\/(70\/630). Sort -4, -2\/5, b, -16 in decreasing order.\nAnswer: -2\/5, b, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 444538 (base 15) to base 5\nAnswer: 1313122203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, y: 5, n: 8}. What is prob of sequence yan?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6 + (-22)\/(-6). Suppose -5*l + 245 = -o*i + i, -25 = -5*i. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-2))\/((-47)\/(-2)). Is z less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 2*u - 15. Give r(7).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1937071182 and 5626.\nAnswer: 5626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bszjatt. Give prob of picking 2 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 + 2.92. Let f be -9 - 0 - 1230\/246. Which is the biggest value? (a) -2 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(320) + sqrt(320) + 1) + sqrt(320) - (sqrt(320) - ((sqrt(320) + -1 - sqrt(320))**2 + 3 + sqrt(320)))) + 5.\nAnswer: 15 + 104*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*1 + 16 + -19. Let s(a) = -6*a - 2*a + 17*a - w*a. Let d(t) = 5*t. Give d(s(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - -1.5. Let n = j + -0.95. Let h = n + 0.05. What is the closest to 1\/2 in h, -0.5, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 4:48 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -295 - -92. Let t = -202.99999903 - m. Round t to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 4*z**2 + 6*z - 3. Let l be j(5). Let g = 10 - 14. Let b = 14\/3 + g. What is the smallest value in b, -2\/5, l?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 16*p + 17*p - 39*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -673.036627 to one decimal place.\nAnswer: -673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*l - 6415 + 24091 = 0, -11814 = 2*f - 4*l. Let k = -3240 - f. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 6\/11, -1, 335.\nAnswer: -1, 6\/11, 6, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 9*p + 9. Let b be i(-8). Let y(d) = 11*d**3 - 2*d + 1. Calculate the least common multiple of y(b) and 4\/(-18) + (-276)\/(-27).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/126)\/(1\/(-6))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3161*c = -3157*c + 15*t + 75, -2*c = -5*t - 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 - 21*c**2 + 3*c + 76. Let y be g(10). Suppose y*j + b - 748 = 3*j, 2*b - 500 = -2*j. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342090.2 millilitres to litres.\nAnswer: 342.0902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + o = 4*o + 29, 2*o - 32 = 2*g. Let f = g - -12. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t**3 - t**2 - 7*t. Let j(q) = 2*q**3 + 3*q. Let r(n) = -7*j(n) - 3*p(n). Find the third derivative of r(d) wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 2*h. Let x be d(3). Suppose -2*i + 0 + 4 = 0. List the prime factors of ((-8)\/2)\/(x + i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 31, 0 in decreasing order.\nAnswer: 31, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 10. Let s be k(4). Solve t - s*t = 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35280768, -70561533, -105842298, -141123063, -176403828, -211684593?\nAnswer: -246965358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10154515 + -12153?\nAnswer: -10211112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*j - 33*j**3 - 1 - 3 + 1 + 11*j**3.\nAnswer: -22*j**3 - 71*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*r**3 - 3*r**2 + 1212 wrt r?\nAnswer: 54*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7.9 + -118097\nAnswer: -118089.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9136 divided by -4\nAnswer: -2284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 12 = 0, -2*v + j + 2 = -3*v. Let p = v - -15. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2 + 57*a - 44. What is z(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*h - 6, -4 = -g - 12*h + 14*h. Solve 5*b = 2*a + 2*b - 11, -4*a - 3*b - 23 = g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31104014413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/7 - 8822*v**2\/7 + 2932704*v - 665939232.\nAnswer: (v - 4284)**2*(v - 254)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -3, -0.44, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/491 smaller than 17.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2 - b. Let i be d(-1). Suppose 3*v - 2107 = -i*n, 0 = v - 5*v - 5*n + 2809. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10909, -24883, -62809, -136663, -258421, -440059, -693553, -1030879?\n\"Answer: -1996*i**3 - 2*i - 8911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2944\/1104*1374\/4. Calculate the greatest common factor of 229 and t.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 6985 + 0*k - 257 + 259)*(0 + 0 + 2*k).\nAnswer: -2*k**2 + 13974*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 1 = -r + 4*z, -4 = -2*r + 2*z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 991.\nAnswer: -4, 5, 991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12763 is divided by 345?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6.8, 0.1, 3\/5 in increasing order.\nAnswer: -6.8, -1, 0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1331) + -1 + -4)*1 + (4*(sqrt(1331) + -1) - (3 + -1*sqrt(1331))).\nAnswer: -7 + 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/(-35))\/((-2)\/(-4)))\/(5*(-18)\/5985)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 179200\/(-96000)*117\/(-42)\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*d + 59. What is the least common multiple of d and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*sqrt(2))**2 - (sqrt(8) + sqrt(200))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10175 and 121.\nAnswer: 111925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**3 + 2*w**2 + 2*w + 1. Let c be l(-1). Suppose -5*x = 4*j, 4*j - c*x = -3*x. Solve j = 14*p - 6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 5*l**2 + 4*l + 3. Let p be a(-4). Suppose 5*f - 2*h - 7 = -p*h, -3 = -f - h. What is the remainder when 7 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195217*v - 2 - 97531*v - 96989*v + 0 + 2.\nAnswer: 697*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 10*n - 4495.\nAnswer: 5*(n - 31)*(n + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from bwjbwswwsibk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.15084065.\nAnswer: 0.045252195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3515 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5857388 to the nearest integer?\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 960*c + 27854. What is u(-29)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 7*w**2 + 6*w + 6. Let q be b(-6). Let h(u) = -17*u - 2. Let k be h(-3). Suppose k + q = 5*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**6\/360 + y**4\/12 + 7*y**3\/3 - 7. Let p(s) be the third derivative of j(s). Let v(t) = -3. Calculate 3*p(g) + 2*v(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10324 is divided by 1131.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*b - 5*i - 9188, 0 = 4*i. Let o = b - 5967. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 56\/10 - 16\/(-40). Suppose 0 = 4*i, 2*v + 3*i - u = -0*i. Suppose -10*j**2 - 2\/3 - 10\/3*j**4 - 13\/3*j - 29\/3*j**v = 0. Calculate j.\nAnswer: -1, -1\/2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-8))\/(7\/4 + -2). Let b(q) = -4*q**2 + 60*q - 120. Let o(v) = -v + 1. Let u(a) = n*b(a) + 20*o(a). Factor u(s).\nAnswer: -4*(s - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y = 0. Suppose -5*r + 10*r = y. Let n(m) = -m**2 - 1. Let w(q) = -4*q**2 - q + 1. Let z(o) = -5*n(o) + w(o). Calculate z(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 - (111 - 42) - (38 + 2 + -4)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 7*w**2 + w + 9. Let x be u(-7). Suppose x*a - 12 = -a. What is the smallest common multiple of 32 and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 4:22 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 19142004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6660 and 40?\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51110\/3 + 17046. Factor 12 + 4\/3*u**3 + m*u**2 + 20*u.\nAnswer: 4*(u + 1)*(u + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548625 is divided by 523.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 547 - 533. Let p(w) = 11*w**2. Let m(b) be the third derivative of b**5\/12 + b**2. Let i(f) = v*m(f) - 6*p(f). Let y(z) = -z. Determine y(i(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 2*j + 24. Let w be i(4). Factor 18\/5*y**2 + w - 4\/5*y - 24\/5*y**3 + 2*y**4.\nAnswer: 2*y*(y - 1)**2*(5*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((15 + 0)\/(-3))\/((-16)\/(-4)). Let f = -0.07 + -0.13. Which is the nearest to f? (a) -2 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s - 27 + 27)*(-10 + 13 + 3*s**4 + 5) + (24*s**4 + 24*s**4 - 49*s**4)*(0 + 0 + 2*s).\nAnswer: -23*s**5 - 56*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(-1\/2)\/z)*z*z*z**(-1\/3)*z**(-10)\/(z*z**(-3\/8)) assuming z is positive.\nAnswer: z**(-155\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)*b**(-4))**49 assuming b is positive.\nAnswer: b**(-343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - l - 2. Let u be f(2). Let g be 4\/6*6\/u. Find the first derivative of -3*z**4 + 2*z**4 - g + 0 wrt z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 8:46 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/2)\/y*y**(2\/5)*y)\/(y**1)**27)**(-49) assuming y is positive.\nAnswer: y**(12789\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2651.73 rounded to the nearest 10?\nAnswer: 2650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -2*h**3\/3 - 17*h**2 - 83. Determine f, given that j(f) = 0.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -148681*b + 148685*b + 4*m, -5*m = 3*b + 67 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*i*r**2 + i*r + 5564*i - 4*r**4 - 18*r**2 + 2*r + 2 wrt r.\nAnswer: 26*i - 48*r**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*f + 121*f**2 - 28*f**4 + 119*f**4 - 123*f**2 wrt f.\nAnswer: 2184*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - j + 18 = 16, 0 = b - 5*j - 11. Is -10559*(-20)\/(-40)*(-1 - b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -615405, -615430, -615477, -615552, -615661?\nAnswer: -615810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3, 4*u - 4*g - 162 = 2*u. Calculate the remainder when u is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.52 - -3.52. Put -81, w, 0 in descending order.\nAnswer: w, 0, -81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/24644 and -13\/648003.\nAnswer: 261793212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -4\/11549 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-10))\/(10\/(-50)). Let l = -1 - -9. Suppose -5*i = q + 10 - 36, 0 = -2*q + i + l. Solve q - 2 = x*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1911499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, g: 12}. What is prob of picking 3 d?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -580, -591, -614, -655, -720, -815, -946, -1119?\n\"Answer: -a**3 - 4*a - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 436590 divided by 218295.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (n**2 - n**2 + 2*n**3)*(-58 - 124 - 101 - 209 + 85) in the form g*n**3 + c*n + j*n**2 + y and give g.\nAnswer: -814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1900*j - 984. What is the hundreds digit of x(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gttgrssrlsttl. What is prob of sequence rs?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*a + 28, -5*g + 123*a - 128*a = -160. Calculate the greatest common divisor of g and 6084.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = 10*w - 4*j - 4, 0 = 2*w - 5*j - 14. Suppose -48 + 176 = 4*v. What is the highest common factor of w and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 10 = -81*n + 83*n, -2*u - 27*n - 73 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c9c - eb1?\nAnswer: -1b4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 a, and 1 m when three letters picked without replacement from allmacn?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(21\/(-28))\/((-36)\/(-4)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 347 + -346.99999885. Round u to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 2\/7, -23, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*x**5 - 3*x**4 + 53*x**2 + 2*x.\nAnswer: -1260*x**2 - 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 150822.596 to the nearest 100.\nAnswer: 150800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y - 5. Let q(k) = -2*k + 4. Let l = -13377 - -13381. What is l*q(v) + 3*t(v)?\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000027647691 to 7 dps.\nAnswer: -0.0000276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 1\/6, -36, 0 in ascending order.\nAnswer: -36, -3, 0, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-1))\/(8\/4). Calculate the greatest common factor of 16 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 1554*t - 4. Let w be f(1). Suppose -4*r = r - w. Suppose 0*h - 2*h + 306 = 2*o, 2*o = -h + r. List the prime factors of o.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.33313ug in tonnes?\nAnswer: 0.00000000007833313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3997 + 2771*l - 3997 - 2761*l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 59272.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93 by 153.\nAnswer: -31\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1, 358, 1295, 3098, 6055, 10454, 16583?\n\"Answer: 48*u**3 + u**2 + 20*u - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 170844464 divided by 254\nAnswer: 672616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12653903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {p: 5, y: 7}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 1)**2*5 + 3 - (sqrt(99)*-4)**2*2*-3.\nAnswer: 30*sqrt(11) + 10007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9686 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5090657, 5090659, 5090661?\nAnswer: 5090663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-652 - -674) + (27 - 1) + -6.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*s + 27, -3*s + 8*s - 4*y + 41 = 0. Which is the second smallest value? (a) 1\/9 (b) s (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 1. Let w(k) = -28*k - 9. Let i(d) = d**2 - 15*d + 1. Let u be i(12). Let m(a) = u*g(a) - 5*w(a). Is m(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 12 = 8*w. Let u = 2.5 - -2.5. Let i = 0.3 + -0.4. What is the closest to i in u, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -35*b + 31*b - 6*h, -34 + 55 = 3*b + 3*h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24939.7326s in days?\nAnswer: 0.2886543125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l = -4. Let z(v) = -v**3 + 22*v**2 + 24*v - 23. Let w be z(23). Which is the closest to 2? (a) l (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h - 3*h + h - h + 3*h - h - h + 0 + 0 + (-2*h + 3 - 3)*(1 + 1 + 0) - 4*h - 3*h + 6*h + (4 - 6 + 0)*(-5 + 5 - 4*h) - 5*h + 46*h - 3*h.\nAnswer: 36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u - 57. Let c be (-20904)\/(-1482) + 8\/(-76). Give m(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 12*v + 23*v - 37*v. Determine b(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 38*m + 24467 = 24451, -2*x + 5*m - 32 = 0 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-6 - 3) + 4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 11:00 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, 10, -1\/6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 z when three letters picked without replacement from {a: 2, k: 4, l: 3, j: 2, z: 2}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 126\/5, -2.4 in increasing order.\nAnswer: -2.4, 1\/7, 126\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.045 + 0.125. Let v = -0.0799964 + d. What is v rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -86, -20, -23, 1 in decreasing order.\nAnswer: 4, 1, -20, -23, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 0*d**2 - 7\/6*d**3 - 46*d + 1\/6*d**4 + 1\/20*d**5 - 2. Find the second derivative of h(v) wrt v.\nAnswer: 6*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.07, -2\/5, 5 in ascending order.\nAnswer: -4, -2\/5, 0.07, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - x + x + 0. Let q be a(-2). What is the units digit of (-5 + (0 - q))\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 407 and 406 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 2. Let x(v) be the third derivative of -7*v**6\/4 + v**5\/60 + 380*v**2. Is x(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-1) - (30 - 29).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 9, e: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217235?\nAnswer: 5, 23, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10199 - -10204. Solve -4*d = -n*u + 8, d + 5 = 6*u - 4*u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggdgggfgfgfgvgggfdfd. Give prob of picking 2 d, 1 g, and 1 f.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g - 2. Let q = -7 - -13. Let d(m) = 3*m + 2. Let t(n) = 2*n + 1. Let i(o) = 3*d(o) - 5*t(o). Suppose -l + 10 + 4 = 0. Give l*i(h) + q*z(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -8. Suppose -b*f + 51 = v - 2*v, 5*f - 66 = 2*v. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (0 + -1)) + (-6 - -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5226799.8 rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (208\/20*45\/36*2)\/(-1)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3426666*x**3 - 3*x**2 - 37551442*x - 2.\nAnswer: 20559996*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/260 and 151\/16560?\nAnswer: 215280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7047)\/(-522)*(-12)\/(-459).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 0 = -3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + 2*(sqrt(76) + 0 + sqrt(76)) - (sqrt(76) - ((0 + sqrt(76))**2*-1 + sqrt(76)) - (-3 + sqrt(76)*2))).\nAnswer: -36*sqrt(19) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2204\/10085 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -8. Suppose 2*t = v*t - 56. Suppose -3*h = -5*g + 14, 0*h = 4*g - h - t. What is the smallest common multiple of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, w: 4, h: 1, o: 6}. What is prob of picking 1 h, 1 z, and 1 o?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by ((-104)\/(-12))\/(2\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Sort -3, x, 2 in descending order.\nAnswer: 2, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1295712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 688757244*z**3 - 664917737.\nAnswer: 2066271732*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -5. Let a(d) = -d**u - 5*d - d**3 + 8*d - 2 + 7*d**2 + 1. Let o be a(4). Which is smaller: 44 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 18. Let n be (-6)\/9*v*24. Solve 3*j = -j - n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3349570 divided by 878\nAnswer: 3815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398*f**3 + 62*f**3 + 4*f**3.\nAnswer: 464*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11 - (10\/3 - 3). Let w = -12 - f. Which is the third smallest value? (a) w (b) 4 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1136 divided by 1\nAnswer: -1136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(102\/(-4)))\/(13951\/237167))\/(20\/(-26)).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + 1. Calculate the remainder when g is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**5\/3 + 482*n**4\/3 - 38876*n**3\/3 + 1061440*n**2\/3 - 947200*n\/3 - 2048000\/3 = 0.\nAnswer: -1, 2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 774, 2896, 6406, 11352, 17782?\nAnswer: 25744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7365*q*v*x**2 - 11810*q*x**3 + 95482*v*x**3 + 1367*v*x**2 wrt q?\nAnswer: 7365*v*x**2 - 11810*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-108)\/(-51) + 14\/(-119). Suppose 1275 = -z*g + 4513. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 17.2. Which is the smallest value? (a) k (b) 0.4 (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 575\/(-5)*24\/(-15). Is (-138)\/g + (-1007)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 3. Let s = 2 + u. Which is the smallest value? (a) s (b) -0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 37*j - 236. Calculate z(33).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1395788, 2791521, 4187254, 5582987, 6978720, 8374453?\n\"Answer: 1395733*k + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3 (c) 3583\/4 (d) 2\/11 (e) -0.2 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.07 - 0.87. Let o = 1 - 2. Suppose -3*x - x - 12 = 0. Which is the nearest to m? (a) o (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 273, 238, 205, 174, 145, 118?\n\"Answer: y**2 - 38*y + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28690 by -302.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 34 (b) -60\/17 (c) 1.2 (d) 0.015\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1052 + 3280 = 193*l + 35*l for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -23 - (-140 - (15 - 66)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 18 + (-3 - 3) + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*k. Suppose k = -5*s - 15, -2*i + 4*i - 3*s - 39 = 0. Suppose 9 - 1 = -4*w - 4*y, 0 = 3*y + i. Calculate the least common multiple of 8 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 3)\/(1 - 0). Let p(u) = 8*u + 12*u**2 - 2*u**2 - 7 + u**2. Let l(i) = 5*i**2 + 4*i - 3. Let v(h) = 7*l(h) - 3*p(h). Calculate v(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5 = 3. Let a(y) = -y**2 + 36*y - 32. Let z be a(35). Let t be 200\/32 - (3\/(-4) + 1). Solve i*k = -2*g + t, 5*k = k + g + z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 2160?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x. Let i = -10 - -11. Let c be m(i). Is (c - 3) + (-1)\/1 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (-4 + (-212)\/(-8)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577885.4 rounded to the nearest 1000?\nAnswer: 578000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**5\/9 + 184*p**4\/9 + 2288*p**3\/9 + 3872*p**2\/9.\nAnswer: 4*p**2*(p + 2)*(p + 22)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p = -l - 7, 4*l + 5*p = 40. Suppose 3*q - 84 = -5*u, -2*u - l*q + 75 = 2*u. Let i be -3 - (-6 + 1 - 1). Solve u = -i*r + 6*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-126)\/35*-5*1\/(-3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27026, 26981, 26934, 26885, 26834, 26781?\n\"Answer: -s**2 - 42*s + 27069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99394 is divided by 193.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5319, 5318, 5317, 5316?\nAnswer: 5315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 172 - 683\/4. Let j = 200 - 198. Which is the smallest value? (a) g (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*1*sqrt(399) + sqrt(399) - sqrt(399))\/sqrt(7))\/(2*sqrt(75)*-1))**2.\nAnswer: 76\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1117*n**2 + 773*n**2 - 660*n**2 + 16*n - 16*n - 772 wrt n?\nAnswer: 2460*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*y**2 + 4 - 4 - 99*y**2.\nAnswer: 216*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*s = -5*j + 22, s + 2 = -j. Suppose -3*z - 1187 = j*f, -6*f + 3*f - 1777 = z. What is f rounded to the nearest 10?\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 19 - 47. Is (-2734)\/(-4)*7\/(g\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 181*j**2 + 2*j + 41863. What is the tens digit of t(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**3 - 1\/2*k**2 + 0*k - 1\/5*k**5 - 3\/4*k**4 + 3. Let t(c) = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3 - 4*m**2 - 2*m**3 + 20*m**3 + 1 - m + 5*m - 15*m**3. Let g(y) = -5*y**3 + 7*y**2 - 7*y + 3. Determine -4*g(c) - 7*r(c).\nAnswer: -c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + 0.05. Let a = 0.00997 - l. Round a to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 2*t + 80, -f + 3*t = -t + 6. Calculate the least common multiple of f and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) 0.5 (c) 11323\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48? (a) 1 (b) 4 (c) 8 (d) -67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065709181 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 310462540?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 53, 70, 107, 170, 265?\n\"Answer: m**3 + 4*m**2 - 2*m + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37239775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.18 and 42032.\nAnswer: 42031.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-33))\/(14\/6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 p, and 1 f when three letters picked without replacement from pfysg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/4 + 30771*j\/4 - 8700735.\nAnswer: 3*(j - 1028)*(j + 11285)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -171828, -343694, -515560, -687426, -859292, -1031158?\n\"Answer: -171866*s + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, e: 4, z: 2, n: 4}. What is prob of picking 2 x and 2 n?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**6 - 2*h**4 - h + 1. Let k(p) = 96*p**6 - 2*p**4 - 70*p**2 - p + 1. Let g(s) = k(s) - m(s). Find the third derivative of g(b) wrt b.\nAnswer: 11640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 857*m**3 + 885*m**3 + 887*m**3 + 884*m**3 - 3484*m**3.\nAnswer: 29*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2278947 divided by -53.\nAnswer: 42999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 3*v**2 - 3*v - 3. Let y be l(4). Solve -z + y = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 19. Let u = j - -3. Suppose 4*y - 5*o + 32 = 8*y, 0 = -3*y - 5*o + u. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -645 divided by -5\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73\/27 - -17747\/6534. Which is greater: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9240)\/273)\/(-44))\/(2\/52)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 252*t**3 + 250*t**3 - t**2 + 224 + 243*t**3 + 251*t**3 - 994*t**3 in the form k*t + o*t**3 + w + z*t**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t - 33*t = -72. Calculate the lowest common multiple of 6 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 64?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 665.03 - 670. Let p = 0.03 - h. Let g = -3.4 + 3. What is the third smallest value in p, -4, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3871700*l**3*n**3 - 3*l**3*n + 72*l**2*n**3 + 553*l**2*n**2 - l*n**2 - 1 wrt l.\nAnswer: 23230200*n**3 - 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -368194.8299965 + 368195. Let a = o + -0.17. What is a rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424459?\nAnswer: 7, 60637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1258133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 12:57 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13424.6 + -14968. Round h to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 3075.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 23*h + 169. Let s be z(-34). What is the highest common divisor of 49 and s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1298 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299)*1*1 + 5 + -1 + sqrt(2299))*5)**2*-1*6.\nAnswer: -1381800 - 26400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5047624 divided by 2?\nAnswer: 2523812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.44+0.01917\nAnswer: 0.45917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(137*s + 8*s**2 - 137*s)*(-5*s - s + 4*s).\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012524 (base 6) to base 4.\nAnswer: 23313010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - w + 20. Let l be (w + 1)*(-15)\/(-10). Calculate the highest common divisor of l and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/3 (b) 16464 (c) -1\/4 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586*s = 508*s + 10842 + 21978 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -3*p**7\/70 + 7*p**3\/3 + 11*p**2\/2 + 6. Let i(u) be the second derivative of m(u). Differentiate i(o) with respect to o.\nAnswer: -36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 5:29 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.105, -3.443, -0.4, 4, -1\/2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.33 - 0.43. Let b = -5 + 2. What is the closest to -1 in y, b, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z**2 - 48*z + 48*z. Let a(u) be the first derivative of 0*u**2 + 0*u + 3 + 2\/3*u**3. Determine a(x(m)).\nAnswer: 50*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -3\/16, 2\/7, 4695, -2\/57, 0.2?\nAnswer: 4695","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 262. Let m(s) = 21*s**2 - 39 - 44*s**2 + 22*s**2 + 39. Calculate m(d(p)).\nAnswer: -p**2 - 524*p - 68644","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-330)\/(-45)*174\/25027*(-1)\/4. Is 1 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -283 - 17.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(8\/840*7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.1 (c) 324 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x - 4*u, 0 = -u - 0*u - 1. Solve -5*h + 27 = -2*i - 3, -x*i - 11 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-36)*-4 + 2 + 32\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/27*(4 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.19 + -0.19. Let u = 18 - k. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11194.9 + -11196. What is the second smallest value in -4\/3, -2\/15, 0.3, o, 3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 15) in base 2?\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1010*x = 1024*x - 140. Let g(l) = l**2 + l - 117. Determine g(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 806, 995, 1186, 1379, 1574, 1771, 1970?\nAnswer: 2171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (17 + (-10 + 0 + 16 - 20))*-17\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 3*k + 4, q + 18 + 0 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5060 - 8675 = 730*j + 5245 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53\/11? (a) 3\/5 (b) 1\/4 (c) 1\/2 (d) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109846 is divided by 1340?\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33451?\nAnswer: 11, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -11. Let m(i) = -16 - 4*i + h + i**2. Calculate the smallest common multiple of 8 and m(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 0*f**2 + 1\/2*f**3 - 1\/5*f**5 - 5*f + 0 + 0*f**4. Find the second derivative of b(k) wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.6 and -5.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5 + 36*v**5 - 8 + 28 - 203*v**2 - 15 wrt v?\nAnswer: 2160*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 10.3.\nAnswer: -5.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -329, -1308, -2939, -5222?\n\"Answer: -326*r**2 - r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*q = 9, -3*q - 10 = v - 0. Calculate the common denominator of -1\/12 and v\/2*150\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756 a factor of 964512852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 3 + (2189 + -2219 - (0 - 103)).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -2580688?\nAnswer: 10322752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -39*x**3 + 2*x - 1. Calculate d(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 328348*b**3 - 12*b**2 + b + 177209488.\nAnswer: 985044*b**2 - 24*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 94*p**2 - 437*p - 651. Determine y(89).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3072918.\nAnswer: 2, 3, 673, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688845 is divided by 39.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 7 - (-5 - -16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 17 = g, -n - 2*g - 3*g = 7. Solve i + n - 1 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 2, 6.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -98*n + 2. Let u(g) = -22*g**2 + 21*g. Determine f(u(t)).\nAnswer: 2156*t**2 - 2058*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -242 + -44. Let w be (-2)\/(290\/l + 1). Let k be 25\/2 + (-2)\/(-4). What is the highest common divisor of w and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-33775)\/(-140) + (-2)\/8.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -61*o**2 + 2. Let w be v(0). Solve 22*i - w = 21*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 224336563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.376 less than -282096.041482?\nAnswer: -282098.417482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 16881277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k + 60. Let o be i(-8). Suppose -18*s = o*s - 792. What is the greatest common divisor of s and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40172)\/498*18\/(-132).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 62*q - 11*q - 19*q + 85*q. Let m(b) = -b**2. Determine m(c(j)).\nAnswer: -13689*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*j - 28 = 0, 2*j - 64 + 68 = -a. Suppose 5*u - 2*u = 0. Sort u, 5, a in decreasing order.\nAnswer: 5, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 9, 5, 2, 0, -5 in decreasing order.\nAnswer: 9, 5, 2, 0, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 104.766 - 27.695\nAnswer: 77.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 11:54 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (6 - (-147)\/(-24)). Let q = 43\/8 - l. What is the biggest value in 3, -0.2, 1, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v + 2. Let a be -1*(-16)\/2 + -2. Suppose 0 = -0*s - s + a. Suppose d - s = -d. What is l(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(sqrt(6) + sqrt(12)\/(sqrt(12)\/sqrt(6))))**2 + (-5*4*(sqrt(3) - (-2 + sqrt(3))))**2)*-5.\nAnswer: -32015\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-7))\/u**(-1\/3))**(-46) assuming u is positive.\nAnswer: u**(782\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17344 and 104224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d - 34?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -1 (c) -3\/4 (d) 29875\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/(-22)*3*(-7)\/252*-3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -564.88 - 130109965\nAnswer: -130110529.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 3\/2*w**3 + 0 + 1\/12*w**4 + 7\/2*w**2 - 10*w. Determine l(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-4) + (-23)\/(-4). Let x(m) = -m + 7. Let u be x(y). Suppose 4 = 4*v - b, -u*b = 5*v - 0*b - 5. What is v rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -190? (a) -4 (b) -2 (c) -6 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*d - 16. Let f(k) = k**3 + 5*k**2 + 4*k + 2. Let p be f(d). Solve n = p*n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.2 in 4, 10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m**(-2\/25)*m)\/m)\/m)\/m)\/m)\/m**17 assuming m is positive.\nAnswer: m**(-502\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136914054?\nAnswer: 2, 3, 22819009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1637171822 to the nearest integer?\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 56 = -2*n. What is the first derivative of -n + 9 - 4*g**2 + 9 wrt g?\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*a + 18. Suppose 0 = 7*x - 2*x - 25. Suppose 4*j = 2*z - 20, 20 = x*z - 3*z + 3*j. What is the remainder when a is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43b (base 13) in base 5?\nAnswer: -10401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 15*r + 540. Let b(y) = 2*y + 77. Let d(g) = -27*b(g) + 4*j(g). Determine d(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50*n - 420.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18566981 minus -3?\nAnswer: -18566978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 40*s**2 - s + 77. Is m(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3412 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y + 8. Let x be (1 + -3 + 3)\/((-2)\/(-6636)). Let l(t) = -t + 3318 - x. Calculate l(r(p)).\nAnswer: -6*p - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -8\/11, 4?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 8*b - 28. Let c be s(11). Suppose -6 = y - c. Let o(a) = -3*a + 1. Give o(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (2*(5*(sqrt(425) + -2) + sqrt(425) - -1*-3*sqrt(425)))**2)*3.\nAnswer: -21600*sqrt(17) + 282582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 9:13 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14b4 + 29467?\nAnswer: 2a95b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 o when four letters picked without replacement from {j: 3, x: 1, o: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 23. Let h = 15.999763 + v. Round h to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*i + 3, -4*i - 3*m = -21 - 10. Suppose -i*h + 108 = 3*a - 2*a, -5*h + a + 126 = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x = 14*x - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 406994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46588?\nAnswer: 2, 19, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -42\/145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 67, 67, 45, -5, -89, -213, -383?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 16. Suppose 4*n + 0*n = 0. What is the least common multiple of l(n) and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 460784 and 20438?\nAnswer: 5068624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -146? (a) -31 (b) -3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 2:26 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -162.939648 - -140.93964845. Let v = 5.6 - 27.6. Let r = q - v. Round r to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -9 - r**2 + 5 - 12*r - 11. Let f be -1*(0 + 2)*5. Is p(f) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4 - 18 = -h, 0 = 2*z + 2*h - 4. Let y be (240\/32)\/(2\/z). Calculate the highest common factor of y and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**19*f\/(f\/f**(-8)))\/(f**(1\/3))**(23\/2))**(-3\/5) assuming f is positive.\nAnswer: f**(-43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 3 (c) 4\/5 (d) -0.3 (e) -5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -2590 and -2586 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**4\/3 + 678730*q**3 - 2036194*q**2 + 6108586*q\/3 - 678732 = 0.\nAnswer: -1018098, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 - 37*h. Let g(l) = -376*l. Determine d(g(f)).\nAnswer: -282752*f**2 + 13912*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 126 + -115. Suppose 114 = 2*b + a*o - 6*o, 2*o = 3*b - 152. Calculate the highest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 57. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t + 21 = 0. Let l(k) = 5*k**2 - 8*k + 16. Let r(w) = -9*w**2 + 16*w - 31. Let y(q) = t*l(q) - 4*r(q). What is the tens digit of y(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11872153 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 3*l**2 + 2*l - 1. Let x be p(3). Let t(f) = -f**2 + 4*f + 1. Give t(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -34, -29, -24, -19?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -216 + 148. Let t = i - -31. Let g = 39.3 + t. What is g rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kym when three letters picked without replacement from fjikjyyymji.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i. Let n(j) = 4379*j**2 - 8752*j**2 + 4375*j**2 + 2522*j. Determine n(v(g)).\nAnswer: 2*g**2 + 2522*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31228*u**3 - 28312*u**2 wrt u.\nAnswer: 187368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/4 - 73*f**3\/2 - 805*f**2 - 4150*f.\nAnswer: f*(f - 166)*(f + 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.03330738 and 116?\nAnswer: 116.03330738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/(p*p\/(((p*p\/p**32*p)\/p)\/p)))))**45*(p\/(p\/p**(-2\/9)))\/(p**(2\/37)\/p) assuming p is positive.\nAnswer: p**(-479279\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(363)*-6 - ((sqrt(363) - (sqrt(363) + 1)) + 4 + sqrt(363)))*-3*4)**2.\nAnswer: 123552*sqrt(3) + 8835264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 137778936.2 to the nearest one hundred thousand.\nAnswer: 137800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.8, 17, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-10)*100\/8. Suppose 15*k + 435 = l*k. Suppose q = 2*q - k. List the prime factors of q.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -112*s + 28*s + 35*s + 39*s + 30*s. Let k(f) = 157*f**2. Calculate d(k(v)).\nAnswer: 3140*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 31\/2 of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -319.644617 rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(170) + -3*sqrt(170) + sqrt(170) - sqrt(170)) + sqrt(170) - sqrt(170))\/sqrt(10) - (-2*sqrt(68))\/sqrt(4)) + -4 + (-5*sqrt(612) - sqrt(17)))**2.\nAnswer: 248*sqrt(17) + 16353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j. Let o(t) = -t + 15. Let m be o(12). Suppose 0 = -5*c, 2*q + m*q + 2*c = 10. Let r(u) = 2*u**2 - u**q - u**2 - 2*u**2. What is r(b(y))?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -2*j + 3*p - 42, 0 = -3*p + 12. Let g = 8 + 2. Let d = -6 + g. Which is smaller: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21480, -21483, -21488, -21495, -21504, -21515, -21528?\nAnswer: -21543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2500160 is divided by 167.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -394176077.9 + 394176255.89999799. Let l = 178 - q. Round l to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 674934?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 23. Let v = 21 - 149\/7. Which is the third biggest value? (a) v (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 303132 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**5 + 12*w**3 - 12*w**3 + (-3 + 0 + 4)*(5*w**5 + w**5 - 3*w**5).\nAnswer: 6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5471148 and 430?\nAnswer: 27355740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 74 = 236. Let g be 1 - -3 - a\/(-14). Determine d so that 1\/7*d**2 + g - 2\/7*d = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(6325\/138))\/(2\/5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.8, -2\/9, -3\/5, -7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v + 645. Calculate the remainder when t(15) is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25299041?\nAnswer: 25299041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbsbbbsbsbsbbbbbb. What is prob of sequence bsbs?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 3600.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2 - 4*q + 33. Is 43 a factor of p(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 7*a + 5*a = 0. Which is greater: 1\/81 or a?\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63203 (base 7) to base 8\nAnswer: 36260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -158717433 and 3418092.\nAnswer: -155299341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -0.3. Let t = -0.02 - -0.27. Let q = t - 0.05. Put 2, g, q in descending order.\nAnswer: 2, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 397 - 1262 + 463 - 111*p + 402.\nAnswer: -111*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 - 3*a**3 + 2*a**3)*(3 - 2*a - 1 + 5*a).\nAnswer: -12*a**4 - 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 4:03 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 - 4*d**2 + 2*d + 2. Let l be w(2). What is the third derivative of 45*o**l - 2*o**2 - 44*o**6 + 0*o**2 wrt o?\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 800373850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87060650 by -2.\nAnswer: -43530325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23\/2 + 10. Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.559289 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103.8 + -98.8. Sort t, -13\/5, 1\/9.\nAnswer: -13\/5, 1\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - l - 130 = 86 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 0*x**2 + x**2)*(43 - 19 + 1) + (-x + 0 + 0)*(0*x + 3 + x + x).\nAnswer: 73*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0896447 rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4929698 + 1?\nAnswer: 4929699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (3 - (5 + -3)). Solve l + h*r = 20, -2*l + 2*r - 20 = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (2 + (4 - 7))) + (18 - 12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122 - 122. Suppose -2*b = -5*i + 1194, -i - 4*b = i - 492. Let k be (-16)\/i - (-4)\/6. Which is bigger: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7) + -1 + sqrt(7))**2*2 - 6*((sqrt(7) - ((sqrt(7) - -3*sqrt(7)) + sqrt(7))) + -4 - sqrt(7)).\nAnswer: -208 + 62*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8658300 times -0.5\nAnswer: -4329150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b**2 + 3*b - 2. Let s(r) = 34*r**2 + 15*r - 10. Let n(j) = -2*s(j) + 11*y(j). Let g be n(-3). Calculate the greatest common factor of 14 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1.2 and 68.47 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1873*-1.\nAnswer: -1873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 42\/12)*68*(-2)\/(-12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -212650, -212614, -212578?\n\"Answer: 36*l - 212686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -125, -217, -285, -317, -301?\n\"Answer: 2*n**3 - 106*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k = -3*r - 32, 0 = k - r - 8. Suppose -2*h + k = i, i - 16 = h - 5*h. Solve -2 = -5*y - x + 13, 3*y + 4*x - 9 = i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**5\/60 + 7*f**4\/24 - 5*f**3\/6 + 12*f**2. Determine j(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230 and 26128?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/99338869 and -83\/4970?\nAnswer: 993388690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(-2\/7)*u)\/u)\/u*u**4)\/(u**(-1)*u*(u\/(u\/(u*u\/((u*u**(-1\/7))\/u*u))*u))\/u))\/((u**(-1)*u)**(2\/29))**(-4\/33) assuming u is positive.\nAnswer: u**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 5*g**2 + 5*g + 4. Suppose 6 = 5*s - 4*s. Determine j(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, -1, 5, 19 in decreasing order.\nAnswer: 19, 5, -1, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 281339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 220412999?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1969\/1721 or 0?\nAnswer: -1969\/1721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (k - 2*k + 3*k)*(6*k**3 + 271*k**3 - 8*k**3) as p*k**2 + o*k**4 + b + f*k + j*k**3 and give o.\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b - 2723. Let f(g) = g. Determine f(l(c)).\nAnswer: -c - 2723","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19672, -19673, -19674, -19675, -19676, -19677?\n\"Answer: -u - 19671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1028 - -1161. Solve -f = -28*u - 49 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + 2 - (-3)\/(-2)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.04 (b) 2 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 480003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in -8, 53, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**2 + 3*t - 12. Let g(z) = z - 1. Let w(o) = 15*g(o) + y(o). Solve w(i) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -q - 0*b - 5*b, -398*q + 5*b = -405*q + 247 for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*c + 1985 + 351 = 0, 3*p - 5*c = 2338. Calculate the highest common divisor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * 27211\nAnswer: 16326.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1777, 3, 2 in descending order.\nAnswer: 3, 2, 0, -1777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, x: 1, b: 1, v: 1, p: 1, t: 1}. Give prob of picking 2 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, s: 11, k: 1}. Give prob of sequence sg.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*b - 298, 4*d + 115 = b - 46. Let r = b + -89. What is the greatest common divisor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 10 - 2\/15*u**5 + 0*u**3 + 0*u + 0*u**2 + 1\/6*u**4. Factor r(w).\nAnswer: -2*w**3*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - o + 7*o**3 - 20)*(-46*o + 18*o - 49*o) in the form t + x*o**3 + c*o**4 + k*o**2 + p*o and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**3\/7 - 661856*m**2\/7 - 27362443840*m\/7 + 1314922662912\/7 = 0. What is m?\nAnswer: -82756, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 3*i - 243. Give j(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z = 18*z - 570. Let u(j) = -50*j**2 + 568 - 283 - z. Let m(b) = -b**2. Give m(u(i)).\nAnswer: -2500*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -0.1. Let k = 4.429 + 0.441. Let d = k + 0.13. Sort s, d, -0.3 in descending order.\nAnswer: d, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -12 - (-11 + 6 + (7 - 9))) + 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*x - 65, -w - x = 4*x + 25. Let h be (w\/(-12))\/(2\/(-4)). Let o(r) = r**3 + r**2 - r + 2. Let i be o(0). Sort 3, h, i.\nAnswer: h, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53442223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d + 8*d - 6*d. Let b(s) be the second derivative of 2*s**2 + 14*s. Let z(m) = -4*a(m) + b(m). Find the first derivative of z(u) wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 5 - ((0 - -4) + -2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 20*s - 9. Determine x(-10).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011133311 (base 4) to base 3.\nAnswer: 1000210002001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -5. Let r = z - 5. Calculate the remainder when 7 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6241 and 553?\nAnswer: 43687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-111)\/(-9))\/(1\/3). Suppose 31*p + 42 = g*p. Suppose 5*z - 14 - 91 = 4*v, 4*z - 84 = 5*v. What is the greatest common divisor of p and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51291057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4736788, 9473569, 14210350, 18947131, 23683912, 28420693?\n\"Answer: 4736781*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*a - 17 = -5*a, 0 = -3*l - a + 9. Suppose -60 = -l*h - 0*h. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5889 times -2.4206\nAnswer: -14254.9134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 100681 plus -2?\nAnswer: 100679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 8*c**2 + 37*c + 102. Determine p(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -436881335.23 + -7304.\nAnswer: -436888639.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by -196850\nAnswer: -47\/196850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1167919.\nAnswer: 1167919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 108?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34742*t**4 + 2*t**3 - 2*t**2 + 6*t + 24928883?\nAnswer: 138968*t**3 + 6*t**2 - 4*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 2\/7, -2\/3, -4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11659 + 22537. Calculate the highest common divisor of 28 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -1 + 44*n - 4 + 7. Let i be h(1). Suppose -2*u = -i - 2. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 25.80231266597.\nAnswer: -22.80231266597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10120021 + -102?\nAnswer: 10112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076416.\nAnswer: 2, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10138565 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.3 - -8.3. Let n = -2 + x. Let s = -0.2 - 0. Which is the nearest to -2? (a) s (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -14. Suppose -h*f = 4*q, 3*f + 4*q = f. Let n = -11 + 6. What is the biggest value in 5, n, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -651*l + 617*l + 614*l - 565*l. Let d(b) = 20*b. Let f(x) = -7*x. Let y(i) = 6*d(i) + 17*f(i). What is y(w(u))?\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Suppose 5*z - 1 - 4 = p. Let g = -336 + 341. Sort z, -5, g in increasing order.\nAnswer: -5, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 27, 70, 141, 246, 391, 582?\nAnswer: 825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f - 26. Let i = 4 - -2. Let r be x(i). Let a(t) = -t**3 + 4*t**2 + 4*t + 1. Give a(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 = 24*r - 62 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217123451.\nAnswer: 709, 306239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222663582.\nAnswer: 2, 3, 89, 131, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/12*(-1764)\/532336. Which is greater: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.50460847 rounded to three decimal places?\nAnswer: 0.505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 - 54*b - 68. Let j be u(-25). Sort j, -4, 4, -3 in ascending order.\nAnswer: -4, -3, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12570 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/((-5)\/5))\/(-3). Let q(v) = 2*v + r*v - 3*v. Let w(f) = f**2. Calculate q(w(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -96*x - 8*x - 15652000. What is x rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3206\/(-56) - 1\/(-4). Let o = -23 - g. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y + 2*y = 52*y + 228 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 37*k**2. Let d(z) = 2*z + 249266. Give d(l(g)).\nAnswer: 74*g**2 + 249266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**0)\/z*z)\/z)**24*(z*z\/(z*(z\/((z**(1\/4)*z)\/z))\/z))**4*(z**(6\/5)\/(z\/z**8))\/(z\/z**(-2)*z\/(z*z\/z**8*z)) assuming z is positive.\nAnswer: z**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/27 <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -833284 (base 9) to base 13\nAnswer: -144106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -64651 - -13?\nAnswer: -6463b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33, 62, 95, 132, 173?\n\"Answer: 2*u**2 + 23*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 3*z - 18, -h - z + 3 = 1 - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.16 (b) 346 (c) -2 (d) -0.62 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1349 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/6)\/((-2)\/(-6)). Suppose i*f + 2*a = 5*a + 38, 2*f = -2*a + 12. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 0 + 7*z + 0*z**2 + 0*z**4 + 0*z**3 - 1\/100*z**5 + 1\/150*z**6. Factor a(w).\nAnswer: w**3*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 111115515?\nAnswer: -111115511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*(sqrt(190)\/sqrt(90))**2*-6 - (1*((sqrt(1539)*-1)**2 - sqrt(1539)) + 5)).\nAnswer: -54*sqrt(19) + 9416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142680 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1601490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + (2 + -2)\/2. Suppose -3*b - 2*m = -7, -n*b + 0*m = 3*m - 12. Let z(y) = 17 + b*y - 17. Let t(v) = v. Give z(t(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + 4*n**2 - 2*n**2)*(-15*n + 15*n + 8*n**3) + 1 - 1 + 2*n**5 + n**5 + n**5 - 4*n**5.\nAnswer: -16*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 206791 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 645.5 times -21?\nAnswer: -13555.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 80815288 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39 and 104898.\nAnswer: -4091022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11344828 (base 10) in base 5?\nAnswer: -10401013303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 5 (c) 1 (d) -71268\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27584 - 30.\nAnswer: 27554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 3, 0, 143 in increasing order.\nAnswer: -56, 0, 3, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 211469084 to the power of 1\/2, to the nearest integer?\nAnswer: 14542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -423 greater than or equal to -423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 1 + 5. Let q = y + 1. Suppose -5*u = -5*w - 20, 4*u = -q + 11. Let t(h) = -4*h - 3. Give t(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -6. Solve t*n = u + 12, 7*u = 2*u - 2*n + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -18*k - 133. Let n = 32\/37 + -1021\/111. Let c = k - n. Put 0.3, c, 3\/4 in descending order.\nAnswer: 3\/4, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6134, 12270, 18406?\nAnswer: 24542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v + 10. Let k be m(10). Suppose y + 3*t - 23 = 0, 3*t + 0*t = -4*y + 65. What is the greatest common factor of y and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) - sqrt(102)*-3)*6)\/(sqrt(24)\/(sqrt(12)\/sqrt(3))) + ((-1*sqrt(408))\/sqrt(12))\/(sqrt(72)\/sqrt(4)))**2.\nAnswer: 85697\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 128*r + 861. Determine g(-56).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + -1. Let n be (-18)\/b + (-3)\/5. Factor 0*w**2 + 2\/3 + 1\/3*w**n - w.\nAnswer: (w - 1)**2*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d = -5*s + 22, -4*s + 5*d = -25. Let t be (-2)\/(-10)*(-6 + (-184)\/(-24)). Let r = -98\/3 - -33. Which is the nearest to t? (a) -6\/5 (b) r (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -34 (b) 0.1 (c) 69\/5 (d) -0.1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3700, -18658, -59260, -138328, -268684, -463150, -734548, -1095700?\n\"Answer: -2137*g**3 + g - 1564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.1 (b) -0.15 (c) -6 (d) -8 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/18*3*(72\/171)\/(-4)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 536\/171 > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 + 25069*f - 25069*f - f**2 + 4*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 6. Let u be h(6). Which is greater: u or -4\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/15 (b) -1\/3 (c) -3\/8 (d) 1 (e) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**2 + 4*j**2 + 0*j**2 - 2*j**2. Let l(c) = -737*c + 366*c + 375*c. What is l(x(p))?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h**3 - 5*h**2 + 7*h. Calculate j(2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 7*k**2 - 7*k + 9. What is b(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y - 16*y = 10*y + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-106)*1312\/(-1968)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 0.05. Let q = 36.55 - f. Let x = 18.7 - q. What is x rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s**2 + 1433746*s - 7 + 7*s**3 - 1433737*s - 3*s**3. Let m(r) = 3 - 5*r - 4*r**2 - 2 + 3 - 2*r**3. Calculate -4*k(f) - 7*m(f).\nAnswer: -2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11259 + 12056.88. Let k = -798 + f. What is the biggest value in -3\/5, k, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 22*f**2 - 18*f - 23. Suppose -t = -w + 3*t + 21, -42 = -2*w - 5*t. What is the least common multiple of 70 and a(w)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p = -112. What is the highest common factor of 28 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**2*v**2 + 785*h**2 - 3*h*v**2 - h - 1217*v**2 wrt v?\nAnswer: -2*h**2*v - 6*h*v - 2434*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuqqc. What is prob of sequence xcu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1135, -1318, -1629, -2074, -2659?\n\"Answer: -h**3 - 58*h**2 - 2*h - 1074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 19\/191 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*a**3 + 12586*a**2 - 17636*a + 5040.\nAnswer: 2*(a - 1)*(a + 1260)*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r**2\/5 + 13527*r\/5 + 422421 = 0. Calculate r.\nAnswer: -139, 5065\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52 - 3?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 62, 99, 140, 179, 210?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2338354 divided by 5.\nAnswer: -2338354\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8949 or -8907?\nAnswer: -8949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -47. Let o = -7 + r. Solve 0 = 3*y - 5*y - o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 2*c - 14, 655555*c = 5*k + 655550*c + 20 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 2*r**2 - 8*r - 22. What is j(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 824005 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29247499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 0.028, 1 in descending order.\nAnswer: 5, 1, 0.028, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15567 - 15595. Which is the second biggest value? (a) 0 (b) 11\/2 (c) s (d) 1 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a week in minutes?\nAnswer: 11088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -55903 minus -7?\nAnswer: -55896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**6\/60 + 7*a**4\/12 + 8*a**3\/3 - 6. Let n(d) be the third derivative of w(d). Differentiate n(b) wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17296?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 23, -3, 1 in decreasing order.\nAnswer: 23, 5, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/71282208 and -73\/11137845.\nAnswer: 356411040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**5 - 430*v**4 - 3*v**3 + 2*v**2 + 489*v - 3?\nAnswer: 60*v**2 - 10320*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 49*d - 135 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*o + 2. Let t = -8.741 + 3.741. Which is the fourth biggest value? (a) t (b) 3 (c) 1 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 6:51 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13, 72, 239, 568, 1113?\n\"Answer: 9*g**3 - 4*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -294*p**2 + 202*p**2 - 366*p**2. Let o(u) = -19*u - 14*u - 30*u - 17*u + 75*u + 3*u. What is o(c(t))?\nAnswer: 916*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g + 373 - 48. Let u be 18\/5*(g - (1 + -6)). What is the third derivative of -3 + 3 - u*o**2 + 81*o**2 - 45*o**3 wrt o?\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*g = -49 - 10, j + 4*g - 28 = 0. Calculate the highest common divisor of 1568 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116617986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 3. Let o(k) = 60*k**2 + 119*k + 6. Let n be o(-2). Which is the closest to -3\/11? (a) g (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -56 and -11.3.\nAnswer: -67.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(117)\/sqrt(3))\/sqrt(3).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 2*x + 7*x)*((-3*x**2 + 2*x**2 + 0*x**2)*(-x + 6*x + 4*x) - x**3 - 9*x**3 + x**3).\nAnswer: -54*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 + 12415299.091.\nAnswer: 12415299.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czc when three letters picked without replacement from {z: 3, c: 12}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1884 divide 94759548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from {m: 2, l: 2, y: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -162 + 157. What is the fourth smallest value in -1, c, -2\/3, 19\/3?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 584918757?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 15 = 13. Let g be (16\/(-12) + (-2 - q))\/(-2). Which is the fourth smallest value? (a) -0.3 (b) 2 (c) g (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5 - 495*h**4 + 19167*h**3 - 63461*h**2 - 186408*h - 103284 = 0.\nAnswer: -1, 6, 38, 453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -13 + (1 - -6) + 200 + -260.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -1) + 9\/5. Let r = -438 + 2183\/5. Let o = r + q. Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - 21*a - 2*a)*(3 + 1 - 2) + (-a + 3*a + 0*a)*(-4 + 2 + 1)*(0 - 1 + 4) in the form f + j*a and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 21. Suppose -4 = -7*o + g*o. Suppose -o*h + 3*l + 3 = 0, -l - 8 = 5*h - 4*h. Let x(u) = -u**2 - 3*u. Let d(f) = -4*f. What is h*d(t) + 4*x(t)?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*n, 0 = q + 2*q + n - 21. Let f be 86\/1 + q\/3. Suppose 0 = -0*c + 4*c - f. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/(-12))\/(18\/(-24)))\/(11\/3)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (3 - 5) + (-3 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -58. Let q be 1 - (1 - (45 + 3)). Calculate the greatest common factor of m and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*o = -12. Let q be (-1)\/(-8)*o\/8. Is q bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = a, 0 = -5*q + q + 4*a + 40. Suppose -5*k - 24183 = x, -2*x - 2*x - q = 0. Let o be (3 + (-518)\/6)*k. What is o rounded to the nearest ten thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + h - 1228, 4*w = 3*h + h + 2480. Is w a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 2:36 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i - 8. Let t be w(13). Let m = 36 - t. What is the second derivative of -3*r + 6*r - 4*r - 8*r**5 + 0*r**m wrt r?\nAnswer: -160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52\/261 + 9\/29. What is the closest to 1 in 2, a, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5763800 and 4255.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59084686456\/3465 + 119362041\/7. Let a = -1506\/11 - m. Find the common denominator of a and (-66)\/20*(-25)\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -373, -906, -1665, -2650, -3861, -5298?\nAnswer: -6961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + (15688\/(-106) - -34).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/6)\/((-22)\/3 - -7). Suppose 0 = -g*b + i + 896, -i = 3*b - 78 - 466. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -10. Let t = l - -9. Suppose 0 = -k + 2*c + 6 + t, -2*c = -2*k + 20. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -0.08, -2, 2 in increasing order.\nAnswer: -2, -0.08, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*w = 2*j - 15, 4*j = -w - 5. Let x be (-4)\/(-6)*(-18)\/(-4). Let v = -6 + x. Which is the second smallest value? (a) v (b) j (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44370245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -10\/13*z - 18\/13*z**2 + 0 - 6\/13*z**3 + 2\/13*z**4 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/149937 and 47\/149937.\nAnswer: 149937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 92737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3011 - -5059. Is p smaller than 2047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**2\/2 - 24*t. Let s(d) = -5*d + 3. Let m(l) = -3*n(l) - s(l). Let b(q) = -4*q + 5. Let u = 47 + -45. Give u*m(a) + 3*b(a).\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13659, -27254, -40853, -54456, -68063?\nAnswer: -81674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 10*i**2 + 21*i + 118. Let z be t(-11). Which is the nearest to 0.5? (a) -1\/10 (b) z (c) -2\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 4*o + 13. Let b be r(-5). Let g(s) = -3*s**2 - b - 46 + 91 + 3*s**3. Let c be 8\/(-6)*3\/(-2). Give g(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 5*z + 7)*(-2 - 14 - 5)*(-3 + 8 + 9).\nAnswer: -1470*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659299 is divided by 190.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-4) + 2 + (-996)\/(-16). Suppose 4*b - 3*n - 67 = k, b + 3*n = 21. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1186504 to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-138)\/(-161))\/(135\/14))\/(6\/(-3))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3465457 divided by 229.\nAnswer: 15133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22140, -22183, -22228, -22275?\n\"Answer: -x**2 - 40*x - 22099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 416\/48 + (-2)\/(-6). Let t(g) = -g**3 + 10*g**2 - 8*g - 6. Let d be t(u). Solve 4*z - d*v = 11, 2*v = z - 6*z + 31 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*g + 20888 = -54*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1967982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 6:38 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -140750, -140749, -140748, -140747, -140746?\n\"Answer: g - 140751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**4\/5 + 2280*q**3 + 11692*q**2\/5 - 821088*q\/5 = 0.\nAnswer: -9, 0, 8, 2851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 1.2. Let r = 1 + s. Let v = -0.1999995 + r. What is v rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 182 - 181. Solve -x = -d - 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 230\/5 + 7\/(14\/(-4)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < -21759\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -314.8073 - 0.3127. Let l = 0.12 + q. Let o = 314.9999867 + l. What is o rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = 19*o - 208 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c - 39*c - 52 = -4*n - 14*c, 41*n + c = 449 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 4*g**2 - 3*g + 7. Let l(j) = 6*j**3 + j**2 - j - 1. Suppose 2 = -4*r - 2. Let y be l(r). Is a(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-56)\/10)\/7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134 and 237917.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/7*c + 2\/7*c**4 + 0 + 3\/7*c**3 + 0*c**2 = 0. What is c?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 411311 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -b?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 82\/(-26) + 3 + 108\/26. Let b be v + (-120)\/32 + (-1)\/4. Solve -2*f + 5*k - 3 - 1 = 0, b = -2*f - 5*k + 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 224, 370, 608, 938, 1360, 1874?\n\"Answer: 46*b**2 + 8*b + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, l: 1, v: 1, z: 2}. Give prob of sequence vwvl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*y + y. Suppose 9*t - 11*t + 2 = 0, 3*b + 3*t + 891 = 0. Let q = b - -300. Sort -4, q, y, -2 in increasing order.\nAnswer: -4, -2, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 7:01 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111348 by -2.\nAnswer: 55674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u + 304 = 11*u. Calculate the smallest common multiple of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -26, -46, -66, -86?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 2420 = 25*k + 85*k for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - 5.6. Let d be (0 + 1)*0*3\/(-9). Let s be -1 + -3 + 66\/15. Which is the nearest to d? (a) s (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67833389.\nAnswer: 13, 401381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106386 by -232.\nAnswer: 53193\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3277*x - 3325*x + 19 + 6596*x)*(1 - 1 - 4*x**2) to the form o*x**3 + t + d*x + k*x**2 and give k.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 8:10 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -223, 0.1, 5, 3, -0.59?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96 or -97?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 9:46 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 8*k - 119. Let p = k - 45. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1))\/(j*j*j**(-16)\/j)*(j**0)**(-11\/5) assuming j is positive.\nAnswer: j**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -26. Let n be (w\/(-5))\/((-9)\/(-15)). Which is the biggest value? (a) n (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + -3. List the prime factors of -70*(3 - (-66)\/j).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -603, -2557, -5863, -10509, -16483?\n\"Answer: 2*d**3 - 688*d**2 + 96*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + m - 29 = -6*a, -2*m = 4*a + 14. Find the common denominator of 46\/a + 0 + -1 and 115\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000989977 to 6 decimal places.\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(130) + 3*(-1*sqrt(130) - sqrt(130) - sqrt(130))))\/(3*(sqrt(1000)*-2 - sqrt(1000))))**2.\nAnswer: 208\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/14)\/(2\/84*-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 30 + -29 + 48 + 30.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30352004 (base 7) to base 6.\nAnswer: 130150145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + -4 + -1 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*r - 10*r - 140, -4*g - 2*r + 142 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -o - 24, 16 + 11 = -4*o - 3*q. Let k = o - -19. Let b(z) = -3*z**2 + 18*z - 14. What is the lowest common multiple of k and b(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -35*j**4 - 2848701880*j**3 - 77286689805738600*j**2 - 698942039406091511303520*j - 199697719235480105937840 = 0.\nAnswer: -27130494, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 285\/8*p**4 + 27\/5*p**5 - 13 + 27*p + 43*p**3 - 315\/4*p**2. Determine v, given that d(v) = 0.\nAnswer: -3, 2\/9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1663644098, 3327288196, 4990932294, 6654576392, 8318220490, 9981864588?\n\"Answer: 1663644098*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 9*u + 1. Let m = 0.7 + 0.3. Let c = -247\/30 - -47\/6. What is the closest to m in c, u, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 9*j**2 + 21*j + 48. Give v(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -23049, -114\/17, 4 in descending order.\nAnswer: 4, -0.4, -114\/17, -23049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**2 - 3350860*i - 561413136980 = 0. Calculate i.\nAnswer: -335086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 93388, -3, -61.\nAnswer: -61, -3, -1, 93388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2325 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-8))\/(1\/20))\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.85 - 0.65. Let u be (-42)\/(-28)*2\/3. Let t = 3 - u. What is the closest to t in m, -4\/5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8006247407?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0134 + -2.9866. Let j = -0.87 - -50.87. What is the nearest to 0.1 in -1\/7, p, j, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3 = -1, 3*g + 2*y - 10 = 0. Let h be 11*(-2 + g - 0). What is the highest common factor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-57)\/(-133) - (-6)\/(-14). Let -1\/2*o**3 + 0*o**2 + 1\/2*o**4 + 0*o + c = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3) + 44\/(-12). Let n be (-8 - -2)*1\/g. Find w, given that -n*w**2 - 2 - w + 3*w - w**3 - w**3 + 4*w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000049596649 to seven dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13368.2 rounded to the nearest 100?\nAnswer: -13400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 410.7119 decades in millennia?\nAnswer: 4.107119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 376, 1235, 2666, 4669?\n\"Answer: 286*k**2 + k + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71027577, -4, -1 in increasing order.\nAnswer: -71027577, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477086?\nAnswer: 2, 113, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 5 (c) 23 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*5\/1 - (-111 + 103)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-285) - (-420)\/19. Suppose f = t - 4, 2*t - 11 = -3*f + n. Calculate the greatest common factor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1 + 70*x**3 + 3 - 6*x + 8*x**2 - 69*x**3. Let u be j(-8). Is 53 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: What is the greatest common divisor of 12 and 6173345820?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5459*g = -5277*g + 8372 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*c - 6, -3*v + 376 = 4*c. Suppose 0 = 6*s - 10*s + v. Calculate the remainder when 61 is divided by s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 239565000 to the nearest one hundred thousand.\nAnswer: 239600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207, -3154, -6103, -9054, -12007, -14962?\nAnswer: -17919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**8\/48 - g**5\/60 + g**2\/2 - 7. Let z(i) be the second derivative of c(i). Find the third derivative of z(u) wrt u.\nAnswer: 420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1520 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -56650 times 0.068\nAnswer: -3852.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 556 divide 487494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7549 rounded to the nearest 100?\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.03 - -0.03. Let d be ((-2)\/(-4))\/((-2)\/(-12)). What is the second smallest value in 0, p, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 10. Let q be 0 - 15\/(9\/(-3)). Suppose 3*o + 3*s + 20 = o, -2*o + q*s = -12. Sort o, z, 4.\nAnswer: o, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 19*a**2 - 83*a - 42. What are the prime factors of d(-22)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200444424 (base 6) to base 7\nAnswer: -40604314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 d, 1 u, and 1 o when four letters picked without replacement from {k: 5, u: 5, d: 2, g: 2, o: 1, a: 2}?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5 - 2 - l**2 - l**3 - l**2 + 12*l + 0. Let y be d(8). Let h = 846 + y. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1.834?\nAnswer: 0.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49280 and 2560?\nAnswer: 197120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**5\/20 - 5*n**4\/6 + n**3\/2 - 7*n**2\/2 - 36*n. What is the remainder when 67 is divided by g(10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -3*s**5\/5 - 3*s**4\/4 - 11. Factor u(i).\nAnswer: -3*i**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2623 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: Collect the terms in -39*b + 1360*b - 8382 + 8382 + 638*b.\nAnswer: 1959*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1755 and 540?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 61795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 49, -4155, 0.3, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 387694.1 years?\nAnswer: 387.6941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c. Let i(t) = -126*t**2 - 2. Calculate i(h(q)).\nAnswer: -6174*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-5 - (-2 + -10 + 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -55*b**4\/6 - 138*b. Let x(l) = 4*l. What is j(x(u))?\nAnswer: -1760*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -11*b. Let c(q) = 5074*q**2 + 24*q + 4. What is x(c(l))?\nAnswer: -55814*l**2 - 264*l - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 17378.552\nAnswer: 173.78552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*g = 64*g + 21*g - 5238 - 1083 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -9. Let p be -4 - -3 - -3 - r. What are the prime factors of p\/70 + (-250)\/(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*s - 216. Suppose 2*g - 47 = q, -g = 4*g + 2*q - 122. What is the highest common factor of s and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -10 - ((9 + 3 - 3) + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 9 = 3*y. Let b = -1 + y. Let z be 2\/(-1)*-1 - b. Solve 5*w + 2*o + 6 - 1 = z, 0 = 5*o - 25 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -672 and 73667300272.1.\nAnswer: 73667299600.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.4, 0.2, 0.3, -1.5 in decreasing order.\nAnswer: 0.4, 0.3, 0.2, -1, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 352*x + 359. Let v = 13 - 11. What is the least common multiple of m(-1) and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101118 is divided by 720?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -28579*p - 212. Let c be h(-28). Suppose -289*d = -281*d + c. What is d rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 135993553 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oioi when four letters picked without replacement from {o: 3, i: 13}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*n - 0*n - 4, 4*o + 8 = 4*n. Let k = n + 2. Suppose 5 + 5 = k*z. What is the second biggest value in z, -4\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2. Suppose 2*u - 6*u = -12. Let z(v) = 2*v + v + u*v. Calculate z(p(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.8 + -41.2. Let i = 49.96 + u. Let p = i + 0.04. Which is smaller: p or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*n + 233 + 515, -4*n + 1044 = 5*j. Let p = 191 + n. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s**3 + 328*s**2 + 640*s = 0?\nAnswer: -80, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 16*z**2 + 8*z - 75. What is the tens digit of o(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39169 or 2\/3?\nAnswer: 39169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1742 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/60138 and -93\/10891660?\nAnswer: 98024940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49 and 84?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 113*a**3*g**2 + 426*a**3 + 2*a**2*g - 44*a*g**2 + g**2 - 15*g wrt g.\nAnswer: 226*a**3 - 88*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -508 + 1?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) -30\/197 (c) 1\/7 (d) -5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -150. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -67, -62, -55, -46, -35?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 1 - 7. Let q = k + 4. Let a be 6\/(-4)*2\/(-3). Which is smaller: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 193.4189 millennia to months.\nAnswer: 2321026.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + k**2 - 2*k + 22. Calculate q(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/28)\/(4 - (-82)\/(-21)). Which is the third biggest value? (a) x (b) 5 (c) 83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120566953.29 + -2168.1\nAnswer: -120569121.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nszs when four letters picked without replacement from nxsstztsnnnqsss?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -94*z**2. Let v(d) = 2*d**2 - 34634. Give v(f(c)).\nAnswer: 17672*c**4 - 34634","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2. Let b(k) = -24307426*k**2. Determine b(u(l)).\nAnswer: -97229704*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108575?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4820 - -90\nAnswer: -4730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1074 - 1055. Let r(k) = -26*k**3 - 2*k - 3. Let s be r(-2). Calculate the highest common factor of z and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 134 + -98. Is 18 a factor of j*2 - (25\/(-5) + 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59 + 56 - (7 - 4\/2)) + (-455)\/(-56).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - o - 12. Suppose -5*s + 14 = -o. Solve i - s*i = -15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 3 - 1. Let g = 977\/8 + -122. Is f less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 5*s + 1. Let i be b(-5). Let l be (-2 - i) + 2 + 126. Suppose -4*k - q = -l, 4*k - 4*q + q = 121. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 2)*(-2 - -4). Suppose i = 8 - r. Let o(x) = -3*x - 1. Let u(d) = d. Calculate i*u(a) + o(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**3 + r**2 - 65*r + 65. Calculate o(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*a**4 + a**3*v**3 - 858*a**2*v - 8123*a*v - 12*v**3 wrt a.\nAnswer: 480*a**2 + 6*a*v**3 - 1716*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1837659 and -0.075677.\nAnswer: -1837659.075677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, o: 3, h: 3}. Give prob of sequence ho.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 13. Suppose d = -d + r. What is the remainder when 9 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3)*(-14)\/((-2308978)\/21). Is m greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.31 + -12.41. Let m = -6.4 + 1.4. Which is the nearest to l? (a) m (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 7 = m, -4*n + 5 = m + 12. Let u be (5 - (m + 2)) + 0. Is u at least as big as -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((21*-1)\/3)\/(-1). Let k be ((-116)\/(-8))\/(z\/(-278)). Let a = k + 573. Find the common denominator of a and 75\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 4*y - 44 - 104, 5*y - 20 = 0. Differentiate -14 - 10 - 9 + l - 19*p**2 with respect to p.\nAnswer: -38*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**6*(r**4*r)\/r*r)**39 assuming r is positive.\nAnswer: r**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 147\/49 + (-15078)\/(-2) + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + (-613)\/(-48))*2\/(-11).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 19 - (19 - -14)\/11. Solve -i*a = -a - 56 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334386737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 6*h - 2*h)*((3 - 5 + 3)*(1 - 3 + 4) + 3 + 2 - 6) + (-1 + 1 - 1)*(0 + 4*h + 0) - 4*h + 2*h + 4*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from bbxbkbfbfxbfxxff.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 6*t**2 + 5*t - 3. Let v be k(6). Suppose -5*o + v + 8 = 0. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*c - 109, -v - 4*c - 26 = c. What is the units digit of (-3)\/v + ((-2848)\/(-14))\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 1. Let h be c(3). Suppose 4*n = -h*p + 3*n, -4*p = 4*n + 4. Solve 4*j - s - p = 4*s, -5*s = -3*j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -29, 32, -1\/4?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95 - -105. What is the greatest common factor of 35 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81098613 is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 - -1 - (5589 - 5563)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 317350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 742*t**3\/3 - 1594*t**2 + 1012. Find the second derivative of j(n) wrt n.\nAnswer: 1484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2\/u)\/(u**(4\/7)\/u))\/(u\/u**(1\/10)*u*u**(-4)) assuming u is positive.\nAnswer: u**(247\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0145 to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 23*y**2 + 48*y - 10. Let l be k(-20). Suppose 4*d - 266 - l = 0. List the prime factors of d.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*-1*12*3\/((-30)\/(-5)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2166 + -309. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pqqpp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*u + 3*h + 97, 0 = -4*u + 4*h + 96. Suppose 7 = 10*b - 43. Solve 6*g - 20 = 2*i + 2*g, 4*i = -b*g + u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13c - 6?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 83*h**2 + 15*h - 45*h**2 - 8*h + 82*h**2 to the form y*h + z + x*h**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - -15. Suppose 3*a = 3*o + 24, 2*a + 3*o = 1 + 10. Suppose 9 = -a*z + 37. Solve -4*r - 4*n = -q, n + 26 = z*r + 4*n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 356, 372, 388, 404, 420, 436?\n\"Answer: 16*d + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 335861219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-256)\/(-60))\/(-32)*-21.\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -13. Let b = -8 - h. Suppose n = 2*y - 1 + 7, -4*y = b*n - 2. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*g**3 + 2*g**2 + 2*g**2 - g - 1 - 100*g**3 - 4*g**2 in the form b*g**3 + w*g**2 + n + q*g and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 5 + 2*s**2 - 4*s + 5*s - s + s - s**2 + (-5 + 3 + 1)*(-9*s**2 + 52*s**2 + 49*s**2).\nAnswer: -91*s**2 + s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0352 + 212.0352. Let b = w - 217. What is the nearest to b in 2\/13, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-162)\/108)\/((-585)\/20)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -785, -6355, -21491, -50981, -99613, -172175, -273455, -408241?\nAnswer: -581321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (272\/204*(-9)\/(216\/(-30)))\/((-5)\/(-294)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 1687.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 74.10493?\nAnswer: -7.410493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 184*u - 183 - 205\/2*u**2. What is the derivative of c(q) wrt q?\nAnswer: -205","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107384+-2236412\nAnswer: -2129028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -448\/5 - -90. Let f(h) = -h + 11. Let c be f(10). What is the third biggest value in 3, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5400367011 and 1.\nAnswer: -5400367010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6\/(-15))\/(8\/(-140)) is divided by 1\/(-2) + (-10)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -11. What is the second derivative of -6*u**g - 25*u + 18*u + 0*u**5 wrt u?\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 411 - 224 = -b, -3154 = -5*b + 3*j. List the prime factors of b.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -37951*c - 3301733. Give o(-87).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71 times 0.2?\nAnswer: -0.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -1, 27, 67, 119, 183, 259?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*d**3*g**3 - 1675487*d**3*g**2 - 4*d**2*g**3 - 293*d**2*g - 16*g**2 + 4*g - 1 wrt d.\nAnswer: 78*g**3 - 10052922*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -420\/17, 5, 2\/3, 3 in descending order.\nAnswer: 5, 3, 4\/5, 2\/3, -420\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 40014 divided by -27\nAnswer: -1482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -77040.2261962 from -5.\nAnswer: 77035.2261962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38819*a**2*r*t - 17550071*a**2*t + a**2 + 156*a*r*t - 2*a*t wrt r?\nAnswer: 38819*a**2*t + 156*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + d**2 - 2*d. Let j be v(-2). Suppose j = -z - 4, -2*t - 5*z + z - 8 = 0. Solve 0*a + t*a + 16 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -4*w - 96. Calculate the highest common factor of w and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**4 - 3843982*o**3*w + 1378*o*w - 5*o - 76*w - 1 wrt o.\nAnswer: 12*o**2 - 23063892*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-38)\/(-171) + -22687*2\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -15263, 0, 26, 6 in ascending order.\nAnswer: -15263, -4, 0, 5, 6, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 225400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64683 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.565 + 122.565. Is -3 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1004 - 1004. Which is the fourth smallest value? (a) 0.3 (b) -3 (c) 2\/9 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000089488 to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v*v*v**(-12))\/v*v*v*v\/v**(-1\/20)*(v**4)**(-2\/9) assuming v is positive.\nAnswer: v**(-1411\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (34\/(2*-1))\/(-1). Suppose 6*c = c - 2*y + d, 3*c = -y + 10. Is c\/3*2 + 17 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1901003 or -1901035?\nAnswer: -1901035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 2*f**2 + f - 9. Let p be j(4). Let u = p - -36. Which is smaller: -4\/13 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542665939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.2 + 4.2. Let s = 0.6 + 1.4. Let d = s + -1.7. What is the nearest to m in -2\/13, d, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*z**4 + 8864*z**3 - 104*z**2 + 113*z + 1 wrt z.\nAnswer: -96*z + 53184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 43.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**2 - 55*g - 51. Let u be a(21). Suppose -18*q - 12*q = -u. What is the lowest common multiple of q and 42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -8. What is the second smallest value in q, -0.1, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 16 = -5*p, -3*y - y + 12 = 0. Suppose 3*h + 2*x = -p*h + 50, -x + 55 = 5*h. What is the remainder when 23 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -16, 10\/7, -2, -7, -11, 2.1?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 + 57 = -q + 119, 4*q = -5*k + 22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 6:54 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5518 + -12482. Round u to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 73.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 126*f**3 - 16*f - 44*f**2 - 247*f**3 + 7*f**2 + 120*f**3.\nAnswer: -f**3 - 37*f**2 - 18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*k - 4 = 0, 4*u = 3*k - 8*k + 60. Suppose -u*x + 12*x = 16. Solve 0 = w - l - 3, 4*w + l = x*w + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.18 (b) -0.5 (c) -3\/4 (d) -1\/4 (e) 1\/9 (f) -16\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0157648577 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -34*d**3 + 3*d**2 - 3*d + 4. Let j(r) = -70*r**3 + 7*r**2 - 7*r + 9. Give -3*j(k) + 7*t(k).\nAnswer: -28*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k = 20*k + 4. Suppose -13 = -k*h - 5. Suppose -5*i = -h*l - 223, 4*l = -4*i + i + 121. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -4*c - 13, 3*y + 30*c - 7 = 34*c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(272) + -5)*-5.\nAnswer: 45 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 26 = -4*g - 3*r, 4*r = -3*g + 22. Suppose g*q - 3*q - 24 = 0. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 6*z**2 - 11*z + 13. Is m(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 9, w: 6, y: 2}. What is prob of sequence wy?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.5, 124, -1, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25292*d**3 - 34615*d wrt d?\nAnswer: -151752*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -56024*d. Let z(k) = -3*k**2. Determine z(s(u)).\nAnswer: -9416065728*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-7) + 4\/(-14). Suppose -2*b + 1 = p - g*p, -b = -p - 2. Put -2, b, 2 in decreasing order.\nAnswer: b, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3 + 4*s - s - 1. Let w = -52 + 56. Let l(c) = -114 - w*c + 58 + 53. What is -2*l(y) - 3*p(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58003477.\nAnswer: 7, 8286211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57673596 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 53, 81, 111?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -55*q**2 + 7. Let j be z(-1). What is the greatest common divisor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 642781, 642780, 642779, 642778, 642777, 642776?\nAnswer: 642775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-1)\/(-2)*-2. Let a be (-2)\/((-69)\/66 + x). Suppose -u + a = 3*u. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**3 + 1320*w**2 - 89888*w + 1452288 = 0.\nAnswer: 24, 62, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w. Let f(v) = -7*v + 1. Calculate 4*c(i) + f(i).\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 42*f - 360. What is d(-16)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -25849852 = -25849850?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-48) - (46 - (-47 + 25691\/276))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59044776?\nAnswer: 2, 3, 7, 351457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 304503*f - 2436026. Calculate y(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/98946 and 79\/4302.\nAnswer: 98946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1642484*q + 64. Let n be c(4). Round n to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66763079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22*(-4)\/55*270\/108)\/(-74).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22740783 is divided by 5685194?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 32 + 7. Suppose 0 = 12*c - x*c + 16. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13702*l = 13710*l + 112 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67.9 - -68. Which is the nearest to 0.1? (a) 3 (b) p (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*p - 14, -7*o + 3*o = -5*p + 9. Suppose -2*m + 9 = 5*s, m + 1 = 18*s - 15*s. Let n be -6*(o - 3\/s). Is -5 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, d: 11}. What is prob of sequence dzzd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*t - 172, -3*w - 3*t + 173 = t. Let r = 43 + w. Is r a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3038 + 3818. Calculate the remainder when n is divided by 98.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -198*y**2\/5 - 326134*y\/5 - 46116\/5.\nAnswer: -2*(y + 1647)*(99*y + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70526247?\nAnswer: 3, 11, 2137159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42907.54 millennia in centuries?\nAnswer: 429075.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*u**3 - 27*u - 236*u**3 + 12*u.\nAnswer: -10*u**3 - 15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - g - 555 = 0. Suppose -g*w + 19747 = -7966. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(882) - -5*sqrt(882))\/sqrt(6) + 1 + (sqrt(72)\/sqrt(6))\/sqrt(4)*-2*5)**2.\nAnswer: 64*sqrt(3) + 3073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9596 is divided by 3117.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**4 + 48*g**3 - 70*g**2 - 19045*g wrt g.\nAnswer: -24*g**2 + 288*g - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3324, -6652, -9980?\n\"Answer: -3328*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 10*j**2 + 58.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-9\/5)*s*s*s**(5\/2)*s assuming s is positive.\nAnswer: s**(37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkdpfnf. Give prob of sequence pd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19 + -3)\/2 + 6. Let j(o) = -7*o**2 - 11*o + 11. Let b(m) = -11*m**2 - 17*m + 17. Let u(s) = -5*b(s) + 8*j(s). What is u(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 542 + 460 = 6*h. Suppose -6*m + 103 + h = 0. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4444600250?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, a: 2, o: 4, f: 1, x: 1, e: 2}. Give prob of picking 1 e and 1 o.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806985 is divided by 1564.\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58455.719 days to weeks.\nAnswer: 8350.817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llhl when four letters picked without replacement from zllzzhzhllhz?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -4*y - 5*k, 4*y = k + 3*k - 20 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 9:06 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from phyhqpquqhyuyx?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 2*f + 3596 = -120*f for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 96044.13 and -97915332?\nAnswer: 98011376.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(6 + 8 - 9 + (1 + 2 - 2)*(-4 - 1 + 3) - 6 + 3 + 4)*(2*y + 2*y - 5*y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -96 + 159. What is the remainder when ((-558)\/3 - -1)*-1 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -121 + -153?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*g + 38 = 0, 1 = -4*g - 7. Let w be (-14)\/(-6)*(-60)\/i. Let t = w + 8. Let v(s) = s**2 + 6*s - 1. Give v(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3206*m = -1793*m - 1783*m - 11470 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + 6*i - 1. Let q(f) = -3*f**2 - 7*f. What is 5*q(m) + 6*z(m)?\nAnswer: -3*m**2 + m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1910726, -3821444, -5732154, -7642850, -9553526, -11464176?\nAnswer: -13374794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.30321 and 5.\nAnswer: 6.30321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + x + 1. Let k(w) = -5*w**2 - 8*w - 6. Let n(t) = -k(t) - 3*v(t). What is the remainder when n(-5) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 6*y - 54. Let c = -7461 - -7467. Calculate the least common multiple of c and y.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 3*w**5\/20 - 2*w**4 - w**3\/2 + 12*w**2 - 22*w - 6. Factor r(j).\nAnswer: 3*(j - 8)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0 + 3\/2*y**4 - 3\/2*y**2 + 3*y**3 = 0. Calculate y.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 + 20*z**2 + 6*z - 4. Let t be i(5). Is 9 a factor of (t\/10)\/((-70)\/(-525))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 - 119*p + 73. Suppose -3*m - 18 = 0, -98 - 10 = -2*d + 5*m. Give y(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**3 + 45*d**2 + 62*d + 138. What is m(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(22\/33))\/((-30)\/8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -564 (b) -1 (c) 3 (d) 2\/3 (e) 132 (f) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387694.\nAnswer: 2, 193847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5\/(-15))\/(2\/12) - -157 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382168 < -2\/2873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 5 (c) 14 (d) -23 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.384 - 0.184. Let y = -2.9 - 0.1. What is the second biggest value in j, 1\/4, y, -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 214*p - 232*p + 8370. Calculate the remainder when p is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3264110 and 105.\nAnswer: 68546310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -25*k**4\/6 + k**3\/2 + 139*k**2\/2 - 578*k. Find the second derivative of w(u) wrt u.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -325 + 328. Suppose g*p - 7*p + 28909 = s, -p = -2. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1930 + -1912. Let x be 2 - (-3)\/t*-12. Find i such that x*i**2 + 2\/17 - 8\/17*i**3 + 6\/17*i = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 47 (b) 3 (c) 7043\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -2*j + 11*b, -j + 2*j - 129*b + 15 = -135*b - 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 4*k**2 + 3*k - 2. Let c be s(-3). Find the common denominator of ((-261)\/30)\/(c\/5) and -145\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -192852049 and -1123?\nAnswer: 192850926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -20*u**3 - 144*u**2 - 304*u - 192 = 0.\nAnswer: -4, -2, -6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b - 6. Let t be (-10)\/15*30\/(-4). Suppose -s - 5*p + 17 = 0, -2*s + 0 = 5*p - 29. Let j(z) = -17 + 3*z + s + 0*z. Calculate t*j(o) - 4*u(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 129095554?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21403, -21321, -21239, -21157, -21075?\n\"Answer: 82*t - 21485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 25*v**2 - 1027*v + 111. Calculate q(41).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 76?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/(-18)*(-3)\/(-2) - -14. Solve 5*t + 1 = 4*h, -9 - d = -5*t - h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -20021101012?\nAnswer: 20021101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -3*s - 48. Let j be (13\/(-13))\/(2 + (-7)\/s). Solve 0 = j*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130d0 (base 16) in base 8?\nAnswer: 230320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4 = 2*j. Let h = 3 + -2. Let u(n) = 3*n - h - n - 4*n. Calculate u(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 - 5 + (3 + 0 + 2)*(-1 + 11 - 3))*(1 + 3*z - 4*z + 2*z).\nAnswer: 22*z + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.15 + -4.15. Sort -9, -0.1, a in decreasing order.\nAnswer: -0.1, a, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**4\/12 - l**3 + l**2 - l. Let c be -13 - (-1 - 11 - -5). Determine m(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - h + 6*h - 55 = 0, -r + 40 = -4*h. What is the least common multiple of 7 and 1\/(42\/r - 2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -57*s + 65. Is d(-19) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + -6 - (-88 + 0\/(-2)). Suppose 4*q - 25 = 7. Calculate the highest common divisor of f and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from xnxnmrmmnmdrrxmdmr.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 447*v - 39. Let l be j(3). Let r = l - 618. Is r a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**5\/12 + x**4\/4 - x**3 - x**2. Suppose -21 + 26 = -5*s. Let k(p) = p**2 + p - 1. Give s*t(g) + 6*k(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*f**2 + 125*f**2 + 124*f**2 + 3*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 2*i - 2 = 0, 25*d = 30*d + 5*i - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 11:47 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1928.5 - 1928. Sort o, 2, -10\/41.\nAnswer: -10\/41, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363*q**2 + 6*q**3 - 363*q**2.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (54\/900)\/((-7)\/((-210)\/(-36)))\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/20)\/(45\/(-25))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131856 divided by 268.\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63264 is divided by 21005.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323 = 12451*f - 12468*f for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.62336 rounded to the nearest integer?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*v + 160*v + 450 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -42, -85, -164, -291, -478, -737, -1080?\nAnswer: -1519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 228 and 5328.\nAnswer: 101232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.0652 - -11750340043\nAnswer: 11750340042.9348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 8*p - 63, -5*a - 2141 = -4*p - 2148 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxzx. Give prob of picking 1 z and 3 x.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*n**4*o**2 + 51*n**4*o - 11*n**2 + 143*o**2 wrt n?\nAnswer: -744*n*o**2 + 1224*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 5*z**2 - 3*z + 1. Let c be m(3). Let u = 35 + -15. Let n = u - c. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70266 and 28680.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000 + -2222102?\nAnswer: -2221102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2554, -0.4, 6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*3*(-1)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87697.\nAnswer: 87697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -2*f - 4*f. Suppose -a - 6*d + 2*d + 779 = f, -3*a + 2357 = 2*d. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12599650 rounded to the nearest 100000?\nAnswer: 12600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*88 - (-1)\/((19\/((-285)\/90))\/(-18)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2864292 rounded to two dps?\nAnswer: -1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(5\/5*-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or -7\/90?\nAnswer: -7\/90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - r + 8. Suppose 2*a = -2*a. Determine q(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 45 (c) 0.6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 17*m - 60. Let g be z(-5). What are the prime factors of (-3)\/24 + g + 1705\/8?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -10) + (23 - 32).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -3b?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3986 - 1492. Let y(x) = x**3 - 9*x**2 + 8*x - 6. Let u be y(6). Let p = u - t. What is p rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/2 + 6959820*x + 24219547216200 = 0. What is x?\nAnswer: -6959820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -17015?\nAnswer: 17011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - ((-22)\/11 - 9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841 a multiple of 618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93 + -15. Differentiate -1 + g*j + 20*j**2 - 13 - 78*j wrt j.\nAnswer: 40*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5578 by -2.\nAnswer: -2789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s - 3*r + 5, 2*s + 4 = 2*r. Let j(p) = 9*p**2. What is j(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*k - 8*k + 11*k - 12*k.\nAnswer: 26*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 10:01 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 44 = -41. Put m, -12, -2 in ascending order.\nAnswer: -12, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (7 + -3) - -3) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.9 - 0.1. Let t = 601 - 597.015. Let k = t + 0.015. Which is the third biggest value? (a) 2 (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -67, 36, 217, 482, 837, 1288?\n\"Answer: z**3 + 33*z**2 - 3*z - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + 3*k - k)*(-2 + 3 + 8) + 2*k + 4*k - 2*k - 5*k + 30*k - 18*k + (-k - 4 + 4)*(-2 - 3 + 3) to the form u + t*k and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53649 + 5*q + 9*q - 35752 - 16*q.\nAnswer: -2*q - 89401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 11:24 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 7:33 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1551876?\nAnswer: 2, 3, 79, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 208*d**2 - 6057*d - 68. Give u(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6078958?\nAnswer: 2, 151, 20129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qumpqussssmqsspm. Give prob of picking 1 s, 1 q, and 1 u.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.014 - -2. Let u = k + 1.014. Which is the closest to u? (a) -3 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**2 + 41*z + 4. Let k(s) = -2*s**2 + 38*s + 3. Give -3*g(h) + 4*k(h).\nAnswer: h**2 + 29*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -239*i**3*l**2 - i**3*l + 2*i**3 + 111475*i**2 - 33*i*l**3 wrt l.\nAnswer: -478*i**3*l - i**3 - 99*i*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158 + -154. Solve 0*k + m*k - 16 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6246663*v*y**3 + 2*v*y**2 - v*y - 2*y**3 - 13359*y - 981 wrt y?\nAnswer: 37479978*v*y + 4*v - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 342 and 872708?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15559515+221\nAnswer: -15559294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 538 and 4842?\nAnswer: 4842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -382 - -377. Which is the closest to 0.1? (a) x (b) 1\/2 (c) -4 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.92 - -15. Let n = -0.08 + u. Let i = 4 - 4.4. Which is the third smallest value? (a) -1\/4 (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x = 2*z - 9, -5*x = 3*z - 38. Let r(m) = -m + 1. Let y be r(1). Solve 5*n - x - 3 = y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -13211312?\nAnswer: -13211301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 0*u**2 - 25*u - 1\/3*u**3 + 0. Let l(p) be the third derivative of 7*p**4\/8 - 3*p**2. What is o(l(m))?\nAnswer: -42*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 187 + -0.014643\nAnswer: 186.985357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/2 of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 9 + 0 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -4*h - 3*o, 0 = -h + 5*o + 4 + 19. Suppose 3*z - h = -z. Let k = -5 + z. What is the remainder when k is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25, 85, 185, 325, 505, 725?\n\"Answer: 20*g**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 484143609 to the nearest integer?\nAnswer: 22003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299 = -3*y + 5*n - 96, 5*n = -2*y + 102. Let l = -16 + y. Calculate the remainder when l is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8175.588 minutes?\nAnswer: 136.2598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 39. Let t = 46 - p. Suppose 2*n - t = n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -64\/9, -1, 2 in decreasing order.\nAnswer: 2, -0.4, -1, -64\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/24)\/((-10 + 66)\/(-14)) - (-103 - 1)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 + 528\/5. Let t be (-26)\/(-4) + (675\/(-1125) - (-64)\/(-10)). What is the closest to q in 0.07, -2\/17, 0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 3\/53307754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -90*d - 2. Let f be x(2). Let y = 11 + 258. Let i = f + y. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 4*v - 5, -2*j - 5 - 5 = 4*v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*v + 1. Suppose -5 = -4*o - 17. Let p = o - -6. Is v greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101202 (base 3) to base 5.\nAnswer: -23443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 728 by -53360.\nAnswer: -91\/6670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 4*x**2 + 4*x - 3. Let u be r(3). Let q be (-1)\/(-5) - 57\/(-15). Let v = q + 1. Put -0.4, v, u in increasing order.\nAnswer: -0.4, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2, -3551 = -3*s - 6*c + 4*c. What is the derivative of -28 + 1185*l**2 + l + 9*l + 4*l**3 - s*l**2 wrt l?\nAnswer: 12*l**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m**2 - 6*m**2 - 17*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-5194)\/15190)\/(-53))\/((-1)\/10)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44684?\nAnswer: 2, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 5. Let k(t) = 3. Determine -3*b(y) + 5*k(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/51 + (6 - 104\/16) + 1?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 256.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*a - 285*a - 313*a to h*a + s and give h.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5629*h = 5617*h - 132 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**2*q*t - 17201*a*q*t + a*q + 2*a*t - 226163*q*t + q + t - 2 wrt a.\nAnswer: -2*a*q*t - 17201*q*t + q + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 4. Let n be h(3). Suppose -3*u - 133 - 27 = -5*b, -n*b = -4*u - 160. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 14*y**2 - 51*y + 3. Let q(b) = 85*b. Determine q(t(g)).\nAnswer: 1190*g**2 - 4335*g + 255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 278448.5m?\nAnswer: 278448500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 2*m**2 - 7*m + 6. Let d = -4 + 5. Suppose 0 = -5*o - d + 21. Suppose o*s + 2 + 2 = 0, -5*s = 2*p - 3. Calculate i(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921667572 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 4, 0.1, 5\/17?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*x - 2)*(-3 + 0 + 4) + 5*x - 4*x - 2*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -10*h + 124. Calculate p(26).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g - 66 + 54 - 107 - 1 - 2*g + 1 + g + 6*g - 3*g + (-2 + 1 + 2)*(0*g - g + 2*g) in the form t*g + q and give q.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -29*w**3 + 2*w**2 + 2*w + 1. Let g be s(-1). Suppose 5*f + 0*f = g. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*l - 2*w - 192, 4*l + 4*w + 380 = 0. Let t = l + 216. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2*(-2)\/(-4))\/(4 + -3). Is -1\/38 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89071\/14 - 6366. Let q = 111 + -1601\/14. What is the common denominator of a and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, q: 4, c: 2, g: 1, d: 5}. What is prob of sequence cdqg?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven eighths of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14219.9 * -108\nAnswer: 1535749.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 - f**2 + 12*f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from {x: 1, g: 19}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 380 + -380. Suppose 28 + 30 = 2*r. Suppose r = -2*x + 3. Which is the fourth biggest value? (a) x (b) 0.4 (c) k (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m - 8*m - 31 + 1. What is the units digit of o(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2287.31 rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 + i**5 + 5*i**5 + (4 - 4 - i)*(-i - 2*i**4 + i) - 9*i**3 + 3*i**5 + 9*i**3.\nAnswer: 10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(209) + (sqrt(209)*1 - sqrt(209))) - sqrt(209))\/(2*sqrt(176)) - -6*(-5 + -3 + sqrt(171)).\nAnswer: -48 + 145*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.4, -85, -5, 5, -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*h - 36. Let u(f) = f**3 - 13*f**2 + 6. Let i be u(13). Suppose i*w - 21 = 3*w. Calculate the remainder when h is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 599578516*x**4 + 365878998*x wrt x?\nAnswer: 7194942192*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -117 + 124 + (3 + -5 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6803 - 6802.9. Sort -1.8, -0.1, h in descending order.\nAnswer: h, -0.1, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44428 + 31943742\/719. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*s + 5*s - 528, 9 = -3*d. Let a = s + -36. Let m = a - 44. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26976 = 3*a + 4*c - 5482, 0 = a + c - 10821. Does 53 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*f - 290*f + 3240 = 67*f. What is the highest common divisor of 16620 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 1, e: 2, n: 1, l: 6}. What is prob of sequence le?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1757, -1760, -1765, -1772, -1781?\n\"Answer: -m**2 - 1756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 465361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -623\/227 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-45)\/12)\/(17568\/(-305)) and -73\/18.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 600 divide 131325050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 450 - 150. Let c = 381 + -231. What is the highest common factor of m and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**6 + 6*x**4 + 760*x**3 - 2*x**2 - 4*x + 1421 wrt x.\nAnswer: 120*x**3 + 144*x + 4560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 70*s + 0*s**2 + s**2 - 27*s - 49*s - 14. What is o(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/9, -90, 3, -61, 1\/5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38\/23, -5\/3, -5847 in decreasing order.\nAnswer: 38\/23, -5\/3, -5847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/66 + 28\/(-6). Suppose 3*z - 14 = -f, f + 22 = 3*f + 4*z. Let d = u + f. Solve d*g - 5*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c - 18. Let u be (62\/4)\/(3\/6). Let x = -21 + u. What are the prime factors of m(x)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 divided by -262?\nAnswer: -59\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 25*z + 23*z = 6, 3*z = 12*f - 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 5. Suppose 5*x - 6 + 26 = 0. What is the units digit of z(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, e: 2, u: 3, y: 1, p: 3, a: 4}. Give prob of picking 3 u and 1 a.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 162101101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1364526403 divided by 4.\nAnswer: 1364526403\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -428925.\nAnswer: -42892.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -12. Let h = s + 4. Find the third derivative of -h - j**2 - 2*j**4 + 0 + 4 wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - y. Let u(f) = 6*f**2 + 8*f - 1. Calculate -2*u(l) - 14*z(l).\nAnswer: 2*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1536*q**3 - 334656*q**2 - 24304392*q - 588368823.\nAnswer: -3*(8*q + 581)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3392.47 + 0.5.\nAnswer: 3392.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 0.02, 5, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.59152914 rounded to four decimal places?\nAnswer: 0.5915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-374)\/(-132)*-14)\/(1 + 58\/(-57)). Calculate the highest common factor of 595 and m.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1656633*f - 1942*f**2 + 1656633*f + (f + 4*f - 3*f)*(2*f + 3 - 3).\nAnswer: -1938*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - k + 4. Let l be 1\/((-6)\/4*(-20)\/(-12)). Which is the smallest value? (a) 3 (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421.04515 minus 0.5?\nAnswer: 420.54515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -50028359467 - -783?\nAnswer: -50028358684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-225)\/(-5)*(-2)\/3*-1. Let d be (-8)\/(-5)*z\/4. Which is smaller: 53\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 2*i + 0*i)*(-1 - 2*i + 1) + (-1 - 3 + 3)*(2*i**2 + i**2 + 0*i**2).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*r = -8*p + 75 + 10, p - 14*r - 122 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmmmq. What is prob of picking 1 q and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7929*w - 444031. Give f(-56).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 18*i + 1. Suppose -25*c + 29*c - 76 = 0. Let v = 22 - c. What is the units digit of t(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 931.3137 millimeters in nanometers?\nAnswer: 931313700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62923451 to the nearest integer?\nAnswer: 7932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5265956 litres in millilitres?\nAnswer: 526.5956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4476*p = -4494*p - 882. Sort -3, p, 2, 5 in ascending order.\nAnswer: p, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 18, d: 2}. Give prob of picking 3 j.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 4. Let z be -3 + t\/(10\/(-38)). Let m be (-62)\/(-16) - 4 - 171\/(-24). Solve -m*w = -3*w + z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 13 = -5*m + 7 - 0, -2*t + 22 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 31\/4*s**4 + 0*s**2 + 38\/5*s**5 + 0*s**3 + 17*s + 0. What is the third derivative of h(m) wrt m?\nAnswer: 912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 20*l**2 + 53*l - 466. Determine z(8).\nAnswer: 1238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 105?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -131*g**9\/168 - 61*g**5\/60 - 124*g**2. Find the third derivative of s(j) wrt j.\nAnswer: -47160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 374 + 377. Solve -5*n - 16 = -4*k - 2*n, a*k - n - 7 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13*a + 4 - 14*a + 0. Suppose d - 3*r = 12, -5*r - 8 = -d + 12. Let z be b(d). Solve -z*g = -p + 3*p + 10, -5*g - 26 = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 2. Let s(m) = -1. Suppose h + 6 = 4*h. Suppose -i = -h*i + c - 3, -i = -2*c + 7. Let d(y) = 2*y - 1. Let t be d(i). Determine t*j(x) + 2*s(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/8 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -56 and 592 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 175 + 925. Let n be (-10)\/12*80\/i. Put n, 3\/5, 2\/3 in ascending order.\nAnswer: n, 3\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59174431*l**2*s*w + l**2*s - 5*l**2 - 10287237*l*w wrt s.\nAnswer: -59174431*l**2*w + l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -174, -187, -218, -273, -358, -479, -642, -853?\n\"Answer: -n**3 - 3*n**2 + 3*n - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1704 (base 10) in base 16?\nAnswer: 6a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-120)\/90*12\/(-8). Suppose 4*u + 2\/5*u**4 - 4*u**3 - 10 + 48\/5*u**f = 0. What is u?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 5*j + 75 + 57, 0 = -5*a - 2*j - 351. Let o = 156 + a. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/j**(-2\/11)*j)*j*j\/j**(-8\/7))\/(j\/(j\/(j\/(j*j**(6\/5)*j)))*j**13) assuming j is positive.\nAnswer: j**(-3018\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**3 - 5. Let p(q) = -q**4 - 13*q**3 - 21. Let o(z) = -26*a(z) + 6*p(z). Differentiate o(f) with respect to f.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2339231 >= -2339233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 63 - 7. Let y be (a*1)\/(((-4)\/(-2))\/(-1)). Suppose -y*z + 525 - 7 = 0. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25382)\/1029 - (-2 - 12\/(-9) - -1)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -226788948 divided by 12\nAnswer: -18899079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o*o\/o**(3\/7))\/o))\/((o**(-7\/6)*o*o)\/o*o*o) assuming o is positive.\nAnswer: o**(-101\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/80 and 87\/28.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 227, 250, 287, 344, 427?\n\"Answer: y**3 + y**2 + 13*y + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + 7. Let j be -9*8\/f*-6. Suppose 3*n - j = n. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.081766 months?\nAnswer: 0.01734805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 52, 66, 64, 40, -12, -98?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, 239, 2, -0.3, 5, 4, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1998878 to the nearest integer?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -62 - -1a89?\nAnswer: 1a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 + -57.074. Round d to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide ((-1)\/(3\/(-3)))\/(4\/76840)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -32 - (9 + -1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 11. Suppose -22*r - 21 = 23. Sort r, v, -0.4 in decreasing order.\nAnswer: -0.4, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9309069401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6670.\nAnswer: 2, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173 a factor of 951354244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 21926.\nAnswer: 153482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 330310 + -1?\nAnswer: 330303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 5.12. Which is the smallest value? (a) -1\/2 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 61.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56710 and 227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-60)\/70*(-18)\/(-108)*-20?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 6:23 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/7 + (-10)\/35. Suppose -m = 5*p - 41, -g + 0 = -m. Is 8 a factor of (-2)\/p + (-146)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111010000001111 (base 2) in base 9?\nAnswer: -104631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35.1 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5098215 by -5.\nAnswer: 1019643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*h + 3*h - 18*h + (-4 + 5 - 2)*(-42*h - 49*h + 73*h) in the form y + p*h and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002665420233 to 7 dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t + 265 = -347. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsxp when four letters picked without replacement from {k: 6, s: 4, p: 4, g: 4, x: 2}.\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/22 and 19\/23044.\nAnswer: 253484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2\/25 (b) 2 (c) 3 (d) -3 (e) -676\/1371 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 27136.\nAnswer: -108544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 240 divided by 8\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12107195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + (133\/14 - -19)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b - 129390 = -3*b. Is (b\/(-4))\/3*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -279 - -441. Let j = -162.2 + q. Let x be 8\/(-10)*1\/(-6). Which is the closest to -1\/3? (a) x (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6442\/105 + -1561\/15. Let r = 43 + l. Suppose -3*n + 2*t + 1 = 0, 0 = -0*n - n + t. Which is smaller: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26, -13, 0, 1, -22, -81, -188, -355?\n\"Answer: -2*f**3 + 12*f**2 - 9*f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -194647*a**3 + 3*a**2 - a + 7876633 wrt a?\nAnswer: -583941*a**2 + 6*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 130*a + 60*a**2 - 66*a**2 + 2*a**3 - 135*a - 7 - a**3. Determine s(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4736 + 2532 = -366*c + 3932 + 818 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**5\/15 + 25*g**4\/24 - 2*g**3 - 78*g**2. Is 10 a factor of x(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-6)\/3)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -105\/1556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + -1 + (-3)\/1. Suppose h - 4*y = -2*h + 27, h = q*y + 9. Calculate the highest common factor of 99 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1, 4, 25989.\nAnswer: -1, 4, 12, 25989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3, 36, 85, 144, 207, 268, 321, 360?\n\"Answer: -v**3 + 14*v**2 - 2*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 2*s**2 + 3*s**2)*(-19722*s**2 - 2 + 2*s + 19392*s**2 + 1).\nAnswer: -660*s**4 + 4*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -20383000 rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*0.22.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 997?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 138*g**2 + 239*g + 14014. What is c(-137)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 11:52 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 109 - 150 - 14*s**3 - 6.\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + 628a84?\nAnswer: 628a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*m = 285, 2*k + 265 = 6*k - m. Suppose -3*o + 16 + 62 = 0. Calculate the highest common divisor of k and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/15)\/((-73)\/(-21170))*(-3)\/(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*a**2 - 23*a**3 - 8*a**4 + 23*a**2 + 1 + 24*a**3 as i*a + d*a**4 + j*a**2 + r + g*a**3 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1158926077187\/398314645300 - -179\/95910100. Let k = w + 2\/4153. Calculate the common denominator of k and 31\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3, -2, -6, -8, 0.6 in descending order.\nAnswer: 0.6, 0.4, -2, -3, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*54.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -275841, -551702, -827563?\n\"Answer: -275861*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 20 = 5*d, 9*k + 54 - 191 = -0*k + d for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c + 14 + 7*c - 3*c)*(3 + 2 - 7)*(-69 - 56 + 29)*(4 - 1 - 5).\nAnswer: 1152*c - 5376","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1996749712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*c = 99*c - 2700 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - -9) + 1 + 2. Suppose 0 = 5*x - d*q + 363, 0*x = -3*x - 4*q - 205. Let m = 91 + x. Which is smaller: m or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45061, 180198, 405427, 720748, 1126161, 1621666, 2207263?\n\"Answer: 45046*v**2 - v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 213 + 21. Suppose m = l + 90. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/3)\/((-4)\/6) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149768497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 887\/4 + -222. Which is the closest to h? (a) 0 (b) 17 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1265 + -773. Is a a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24596 is divided by 1595.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6984, 6985, 6986, 6987, 6988, 6989?\nAnswer: 6990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.4 + -2. Sort -0.4, n, -0.3 in increasing order.\nAnswer: -0.4, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5203 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 42 and -7.5950786?\nAnswer: 49.5950786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -2*i**3\/21 + 2*i**2\/7 - 2*i\/7 + 1. Let b(p) = 0. What is p?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*w - 4740 = 14*w - 201*w for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/18*2 - (-2)\/(-6). What is the closest to 0 in c, -3\/4, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4221 (base 5) in base 4?\nAnswer: 20301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -79b401?\nAnswer: -79b400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-50)\/(-8))\/((-27)\/(-324) - 0) is divided by (33\/(-2))\/3*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*m**4 - 635852*m - 17803295 wrt m.\nAnswer: 32*m**3 - 635852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -b6e1?\nAnswer: b6e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*o + 43*o = 60*o - 46*o - 1456 for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**2\/3 - 3212*h\/3 - 22288\/3 = 0.\nAnswer: -796, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -113*a**2\/2 - 57*a - 1\/2.\nAnswer: -(a + 1)*(113*a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 10*m**2 + 26*m - 2. Calculate o(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence doo when three letters picked without replacement from {h: 1, g: 1, d: 2, o: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 0.9, -10\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 3*r**4 + r**2 + (18*r**4 + 18*r**4 - 42*r**4)*(-3 - 2 + 6))*(0 + 0 - r).\nAnswer: 9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 594943 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 52 = -13. Let b(p) = -p - 11. Let z be b(-9). Let j be (-1 - z) + 88 - -2. Calculate the highest common factor of j and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwbbbwbbbbbbiiibb. Give prob of picking 1 w and 3 b.\nAnswer: 22\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v = -5*x + 1637, -2*v - 642 = -2*x. Suppose -2*w + 394 = -5*k - x, 145 = -k + w. List the prime factors of (k\/26)\/((-1)\/18).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -31 (b) 4 (c) -0.03 (d) 7\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 6. Let r(w) = 2*w**2 + 3*w - 4*w**2 - 2*w**3 + 3 + w**2. Let l be r(q). Solve -3*p + 18 = -4*z + 3*z, 3*p = -2*z + l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 2*r - 968 + 957, -5*h - 14 = r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 2\/9, -0.27, -2, -9\/2, 4\/7, -0.0202?\nAnswer: -0.0202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1403*a**3 - 2 + 1334*a**3 + 2 - 2685*a**3.\nAnswer: 52*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11050384 is divided by 7157.\nAnswer: 7133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.063 - 0.063. What is the closest to 2\/5 in -2\/9, d, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789585480 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35444214 + -0.1?\nAnswer: 0.25444214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 + 3*l**2 - 4*l + 2*l**2. Let f be h(5). Solve -p - 7 = -0*p + f*u, 4*p - u - 14 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(1300) - (sqrt(1300) - (sqrt(1300) + -3)))**2 - 2*sqrt(26)\/sqrt(2)) + 2)*-5*-5.\nAnswer: -1550*sqrt(13) + 32675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 550 divide 2962177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 13*k**2 + 8*k - 15. Is a(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**7\/280 + i**4\/12 - i**3\/3 + 2. Let l(v) be the third derivative of a(v). Differentiate l(b) wrt b.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-50)*10\/4*-6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.70578 + 4.62701. Let t = -2.08 - i. Round t to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 x, and 1 m when three letters picked without replacement from {z: 6, h: 1, x: 3, m: 3, u: 1}.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(228)*2)\/((-1*sqrt(84))\/sqrt(7))*-4.\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205, 94, 593, 1292, 2191, 3290, 4589?\nAnswer: 6088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 2338.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -58*p + 385 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13306*26\/39*3\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7863\/8 - -5741\/4. Let b = 5479\/12 - t. Calculate the common denominator of b and -82\/21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -5*z - 2*v - 30, v + 13 = -2*z. Let w(k) = k**3 + 4*k**2 + k + 3. Let b(m) = m**3 + 4*m**2 + 2*m + 2. Let c(l) = 2*b(l) - 3*w(l). Give c(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 1415090?\nAnswer: 1415090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 322, 315, 308, 301?\n\"Answer: -7*q + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a + 1. Let b be c(1). Let s(q) = -18*q + 6*q - 3 + q - q. Calculate s(b).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 5*n + 5*n**2)*((56*n**2 + 58*n**2 + 29*n**2)*(-2*n + 3*n + n) - 6*n**3 + 7*n**3 + 0*n**3).\nAnswer: 1435*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-2\/103)))\/g**(-3) assuming g is positive.\nAnswer: g**(307\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 216 = 206 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + s - s)*(1 + 2 + 0)*(-2 - 2 + 3) + (-2 + 3 - 3)*(0*s + 4*s - 2*s) + (-2 + 1 - 1)*(70*s - 29*s + 27*s) in the form d*s + r and give d.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 484542176\nAnswer: -484542175.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65918013 divided by -9416859.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 400\/56*560\/(-200)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m**3 - 7*m**2 + m - 21. Let u(h) = -h**3 - h**2 + 1. Let x(q) = -5*u(q) - z(q). Let r be x(12). What is the highest common factor of r and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 76, 90, 120, 172, 252, 366?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c**(-1)\/c)\/c)**(-1\/32)\/(c\/(c\/((c\/((c**(-6)\/c)\/c))\/c))*c*c**0) assuming c is positive.\nAnswer: c**(-287\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/(2\/6). Which is the closest to t? (a) 0.5 (b) 9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.12 + 0.2. Let n be ((-11)\/66)\/((-10)\/75). Sort g, n, 0.1 in decreasing order.\nAnswer: n, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 29*u. Let z(h) = 6*h**2 + 16*h - 16. Let i(n) = n**2 + 3*n - 3. Let g(t) = 16*i(t) - 3*z(t). Determine g(v(s)).\nAnswer: -1682*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 14*x + 1. Let i be (-2)\/2 + 6 + -1. Suppose 4*n - 3*n = -i*t, 3*n = t + 13. Determine y(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -29 + (-27150)\/(-362)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 5*d**2 + 35*d + 23. Give j(-7).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22528 is divided by 110?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -33671*y + 134685. Calculate c(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216030 and 5605.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-7)*z**(-9)\/z)\/((z**(-3\/5)\/z)\/(z\/((z\/(z\/z**(1\/4)*z))\/z*z))))**15 assuming z is positive.\nAnswer: z**(-819\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47.6 - 10. Let g = -32.0168593 - 25.5830761. Let i = p - g. What is i rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 7*u**5\/30 + u**4\/8 - u**3\/3 + 12*u**2. Let w be k(2). Calculate the highest common divisor of w and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/5)\/((-12)\/(-5) + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (-13 + 39 - -8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1768*w**5 + 2252*w wrt w?\nAnswer: 35360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -3*b - 24. Suppose 15 = -2*h + 3*s, -h + s - 5 = 4*h. Solve 4*m + 4*y - 14 = 6, -4*m - 5*y + b = h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -47566?\nAnswer: -47567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*h - 154*h + 42*h + 50*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**7\/168 + a**6\/8 + 9*a**5\/16 - 225*a**4\/16 - 135*a**3 - 486*a**2 - 2*a + 47. Factor w(u).\nAnswer: -(u - 12)**2*(u + 3)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -4, -5, 6, 69 in decreasing order.\nAnswer: 69, 6, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.16, 0.3, -0.51, 0.815?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -10*l**2 + 2*l - 7. Suppose 5*k - k = 0. Let s(m) = -5*m**2 + 9*m**2 - m + 5 + k*m**2 + 3*m**2. Calculate 7*s(p) + 5*y(p).\nAnswer: -p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-165)*4*10\/12*-3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 33 - 69. Let u(a) = -a**2 - 12*a + 2. Let y be u(q). List the prime factors of (4 - 208\/(-12))*15\/y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019536 a multiple of 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 - 14589*k**3 - 17729280*k**2 + 17743872*k.\nAnswer: -3*k*(k - 1)*(k + 2432)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1068\/10)\/(-3*(-14)\/105). Let d = o - 145. Is d a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58592220 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*k + 102*k**5 - 45*k**5 - 44*k**5 wrt k.\nAnswer: 260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/88)\/((15\/3)\/325)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2\/4 + 6695*l\/2 - 8964605\/4.\nAnswer: -5*(l - 1339)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, y: 2, v: 4, e: 3, t: 3, c: 1}. Give prob of picking 1 l, 1 c, 1 e, and 1 t.\nAnswer: 27\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 10. Suppose 3*r + 3*y = 27, -5*r - 4*y + 40 = -0*r. Suppose 4*a = -2*l + 12, 0 = -r*a + 8*a - 12. What is the third biggest value in h, -13, l?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d**2 - 3*d + 28. Let z(g) = g**2 + g - 7. Let f(i) = -2*c(i) - 9*z(i). List the prime factors of f(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/13 + 2349080*y\/13 + 28188672\/13 = 0.\nAnswer: -1174528, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -53. Let u be 8\/(-3)*(-4)\/((-16)\/d). Solve s + 1 = -3, 12 = -4*g - u*s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11635 and 196005.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w**2 + 4. Let z(x) be the second derivative of 11*x**4\/12 - 13*x**2\/2 + 4*x. Let h(g) = -7*f(g) - 2*z(g). Is 26 a factor of h(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50824.\nAnswer: 2, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:50 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b**3*t**2 - 3*b**3*t + 84*b**3 - 43*b**2 + 63*b*t**2 wrt b.\nAnswer: -24*t**2 - 18*t + 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 537.8 rounded to the nearest ten?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 920 and 14?\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -15) + (-9 - (-3 + -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i + 37*i - 1288 = 0. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in -1\/10, 0.4, 4, 1\/28?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 1, -a - 3*d = -0*d. Solve -a*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1763 (base 9) to base 10.\nAnswer: -1353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 8*p. Let o(z) = 15*z - 6021 + 6021. Determine f(o(h)).\nAnswer: 120*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12994538*z - 10882606.\nAnswer: 12994538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -4 (c) 6 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2486*q**2 - 5*q**3 + 24*q**3 + 4971*q**2 - 12*q**3 - 2482*q**2.\nAnswer: 7*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*sqrt(17))**2 - sqrt(17))*-5.\nAnswer: -60 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 3. Let w(o) = -o + 2. Let n be w(2). Let l be r(n). Suppose 17 = 2*y - 3*j, 3*y = -0*j + l*j + 24. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*r**2 - 322 - 55 + 147 - 430.\nAnswer: -132*r**2 - 660","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 0*u + 11*u - 11*u - 21*u**2. Let y(g) = g**2. Calculate h(y(q)).\nAnswer: -21*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 - 1660*i + 137780 = 0. What is i?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.99 + -0.01. Let z = 13 + f. Let x = 4\/25 + -3\/175. Which is the closest to 0.1? (a) 1\/4 (b) z (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427 = 20*s - 133. What is the remainder when 278 is divided by s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -408, -826, -1392?\nAnswer: -2106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49206930527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155634?\nAnswer: 2, 3, 25939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(-77*d + 68*d - 106*d) + (4 - 4 - d)*(7 - 2 - 1).\nAnswer: 111*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2884*v - 652 - 4*v**3 - 8313896*v**2 + 8317952*v**2 + 4716 + 5240*v = 0 for v.\nAnswer: -1, 1016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10861 != -10903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 2*c + 2*c + (0 - 2 + 4)*(c + 3*c - 2*c) - 1 + 1 + 9*c - 5*c - c + 4*c - 3*c + c + c + (6 - 7 - 8)*(-2*c + 2*c - 4*c))*(-c + 0*c - c).\nAnswer: -90*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-6*sqrt(612) + -1 + sqrt(612)) + 5 + sqrt(612)*2 + -4)**2.\nAnswer: 2688*sqrt(17) + 626737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -2*f**2 + 1\/12*f**4 + 0 + 0*f**3 + 0*f. Let j(q) be the second derivative of q**3\/2 - q. Calculate j(z(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**2 + 4*u + 3. Let g be h(-6). Let r = 259 - g. Let a = r - 38. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3689? (a) -4 (b) 1\/3 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(190) - sqrt(190)) + -1*sqrt(190)*-6 + sqrt(190) + sqrt(190) + sqrt(190))\/(3*(sqrt(480)*5)\/sqrt(3)) + -4.\nAnswer: -4 + sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 19*o**3 - 4*o**2 - 4*o + 16. Let g(v) = -817*v**3 + 171*v**2 + 171*v - 684. Calculate 4*g(k) + 171*t(k).\nAnswer: -19*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 111*j**2 - 431*j - 203. What is m(-107)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3334\/(-8335))\/((-22)\/25 + 1)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*w - g, w - 2 = -3*g - 1. Let o(y) be the first derivative of y**3\/3 + 5*y**2\/2 - 262. What is o(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/16 - (-1)\/4)\/(2067\/(-78) - -61)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11402, -11399, -11398, -11399?\nAnswer: -11402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f + 4. Let h(n) = n + 1. What is 6*h(q) - t(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2589294 + 3627683 = 327*g + 1149131. What are the prime factors of g?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 70*j - 892. What is g(13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 17. Let q = 4 + o. Let b = -283 + 3677\/13. Sort q, b, 2.\nAnswer: q, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t**2 + 6*t + 36. Give n(-5).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9180810 divided by -68\nAnswer: -4590405\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 488354\/(-18) - (-150)\/675. Let r = -15474 + n. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -205 (base 6) to base 5\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 2, -22, 5 in descending order.\nAnswer: 5, 2, 0, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1152577 is divided by 64026?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 + 1485?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-13)*(m**(-35)*m)\/m assuming m is positive.\nAnswer: m**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -20*((-144)\/(-64))\/9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-52)\/(-6) - (-17)\/(561\/(-22)). Suppose -y*h - 23 = -71. Put 0, -5, h in decreasing order.\nAnswer: h, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -263204, -263261, -263356, -263489, -263660, -263869?\n\"Answer: -19*c**2 - 263185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3*((-108)\/(-8))\/(-9). Sort v, -4, 0.9 in decreasing order.\nAnswer: 0.9, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - -1*(1 - -23). Is (y\/(-6) + 1)*-34 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -2)*(-184)\/(-12). Let d = q - -89. Let i = 104 - d. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(12\/(-981))*(-666)\/(-1998)*2\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 3774 - 3757 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -17*u**2 + u + 41. Let k(r) = -r**2. Let f(y) = h(y) + 3*k(y). What is the derivative of f(b) wrt b?\nAnswer: -40*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.2, 350?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 134 (b) 1 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -3 + 13 + (-15 - (-5 - (9 - 16)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cchc when four letters picked without replacement from hcccphppp?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**4\/7 + 38*s**3\/7 + 835*s**2 - 75074*s\/7 - 516120\/7 = 0.\nAnswer: -66, -5, 17, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*s + 2. Which is greater: s or 1\/37?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**8*o*o)**2 assuming o is positive.\nAnswer: o**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -42 + 65 - 2*b + 15 as r*b + p and give p.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1858, 961, -5466, -20189, -45974?\nAnswer: -85587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from wiwwiw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -29*v**3 + 7*v**2 + 19*v - 20. Let s(y) = -25*y**3 + 6*y**2 + 18*y - 19. What is 6*r(j) - 7*s(j)?\nAnswer: j**3 - 12*j + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100939648 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/4, 1\/7, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*v - 47 + 21 + 26 to b + x*v and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 m, and 1 k when three letters picked without replacement from mqmxxmxmxkkmxmxxmq?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3141638, 3141597, 3141508, 3141347, 3141090, 3140713, 3140192?\nAnswer: 3139503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9639 times 6\nAnswer: -57834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*a*z**2 - 6*a*z - 176*a + 4*z**2 + 1421*z - 11 with respect to a.\nAnswer: -7*z**2 - 6*z - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2576010999.\nAnswer: 3, 31, 27699043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - y = 142*h - 0*y + 438, -2*y - 27 = 3*h + y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 255031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4 + 13401938*h**3 + 29935328159952*h**2 + 22288428409025086848*h + 22288398473710328832 = 0.\nAnswer: -2233656, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8612 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 5*i + 10. Let c be j(7). Let t = 5 + c. Let p be (-22)\/(-121) - (-43)\/(-55) - 0. What is the third biggest value in t, -1\/6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*u + 348*u - 185*u - 64*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1770584 and 42058?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60.4 - -56.33. Let b = v - -0.07. Let g = b + 4. Which is smaller: -0.2 or g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274171803.\nAnswer: 3, 91390601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 787467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 + 83. Let s = -77 + k. Suppose q + 4*v - 2 - 5 = 0, -4 = -4*v. Sort s, q, -2.\nAnswer: s, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -84c400e?\nAnswer: 84c400d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 69264*p**3 + 8*p - 414954*p**3 - 5*p.\nAnswer: -345690*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*b + 3*g - 14, 4*b = g + 8. Solve 2*r + 0*s - 12 = -2*s, -b*r + 26 = 5*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269185440 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 5:23 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g = -6*g + 4326. Let m = 302 + g. What is the biggest value in -0.1, 2\/9, m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -39, 17, 5686.\nAnswer: -39, 5, 17, 5686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 16 = -2*a. Let v be (1 + 5\/(-3))\/(a\/12). Solve -m + v = -0*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-3) + -12*6\/(-24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -1461?\nAnswer: -876.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1366*i - 472. Does 40 divide k(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18508, -3, -5, -4, 4 in descending order.\nAnswer: 4, -3, -4, -5, -18508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48142505 and 54435?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (sqrt(91) - -2*(sqrt(91) - sqrt(91)*1)) + 3*2*sqrt(91))\/(sqrt(112) - (sqrt(112) - (sqrt(112) - -3*sqrt(112)))*-2)*4.\nAnswer: -8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9508 - -0.0452. Let u = j - -0.024. Round u to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 15*m**2 + 25*m + 22. Determine g(-10).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.31 - 0.01. Suppose -7056 = 6*n + n. Let j be (-3)\/(-8) + 522\/n. Which is the third smallest value? (a) 2 (b) w (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-5)*(75\/(-10) - -5). Suppose 7*n = 6*n - 4*w + 17, 0 = -4*n - i*w - 2. Sort n, -2\/9, 2 in decreasing order.\nAnswer: 2, -2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p + 20. Let y(a) = a - 1. What is -n(q) + 12*y(q)?\nAnswer: 4*q - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9*3\/(-9)*16\/(-3). Let j = m + 14. Put -4, 3, j, -1 in ascending order.\nAnswer: -4, j, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 + d**2 - 2*d - 3. Determine g(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11875822 and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.2 (c) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 2:16 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 15 + -16 + -16 + 8 + (-5 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = 3*p + c, -4*p - 4*c - 275 = -7*p. What is the first derivative of -85*h**2 - 14 + p*h**2 - 27*h**3 wrt h?\nAnswer: -81*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22855 + -91423\/4. What is the fourth biggest value in -0.5, 0.5, 1\/1830, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/13 - 66*s**2\/13 - 138*s\/13 - 70\/13.\nAnswer: 2*(s - 35)*(s + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from {w: 1, u: 1, v: 1, e: 1, m: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(6 + -7))\/((-6)\/(-204)*-2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6934 + 6946. Suppose 5*l = -3*x + 110, -3*l = 4*x - 6*l - 108. Calculate the highest common factor of x and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6211\/21 - 2075\/7. What is the closest to 0.1 in d, -0.02, 4\/5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29\/3 - 113\/12. Let w = -656 + 8618\/13. Let i = 398\/65 - w. Which is the third smallest value? (a) 6 (b) i (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 394 = 374. Solve o - 3*z = -11, -4*o - l*z - 5 = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + (2*sqrt(288))**2 + (sqrt(288) + 1 + 0)**2)*-4.\nAnswer: 480*sqrt(2) + 28720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114516038.\nAnswer: 2, 7, 13, 12841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from cccplctv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -20, 453670.\nAnswer: -20, -6, 0, 453670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from baaasstssbaaaa. Give prob of sequence btb.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 6*l**2 + 2*l + 10. Let c be g(-3). Suppose -v = -1, 36*v - c*v - 75 = -t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 219\/889 - -5\/127. What is the nearest to g in -5, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18378 and 235692.\nAnswer: 240641532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.029 rounded to 1 decimal place?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c70e89 (base 16) to base 2.\nAnswer: -110001110000111010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72935806?\nAnswer: 2, 23, 37, 42853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 16*i - 7. Suppose -5*x - 82 + 22 = 0. Let f = x - -4. What are the prime factors of c(f)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*s = 16, -3*l - 2*s = 1 + 12. Let k(y) = -66*y - 5. Let b(h) = 33*h + 3. Let d(a) = l*b(a) - 3*k(a). Let m(i) = 4*i**2. Calculate d(m(q)).\nAnswer: 132*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34.7 + -30.7. What is the nearest to 1\/2 in -4\/7, -1, y?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220201021 (base 4) in base 15?\nAnswer: 34291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1018*c**2 - 1018*c**2 + 20*c**4 + (2*c + c - 5*c)*(-c**3 - 2*c**3 + 2*c**3) to the form o*c**2 + d + l*c + n*c**4 + s*c**3 and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4519.771 decades?\nAnswer: 542372.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 1:42 PM?\nAnswer: 263","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 9:19 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51350465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.017 + -19.983. Let o = 19.14 + b. Let q = o - -8.76. What is q rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 2\/7, 0.012, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 165*v**3 + 152*v**2 + 9*v. Let n(w) = -41*w**3 - 38*w**2 - 2*w. Let q(r) = 2*i(r) + 9*n(r). What is the third derivative of q(f) wrt f?\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 47*j + 49*j - 94*j + 1 + 0*j**2 - 8*j**2. Let r(g) = 9*g**2 - 3*g - 2. Let n(a) = -2*r(a) - 3*w(a). Let d be n(-1). Solve -d*i = -6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 - -8) - 1 - (19 + -18)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 54?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(4\/3 - 2). Suppose u*o - 517 = 119. Suppose o = 5*j - 2*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -3, 2, 5, 3, 36 in descending order.\nAnswer: 37, 36, 5, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*n - 12*n - 110. Let a = 167 - n. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1974.997 - 1974.95899887. Let k = -0.038 + n. What is k rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -1\/24*q**5 + 1\/8*q**4 + 0*q**3 + q**2 + 0 - 1\/720*q**6 + 0*q. Let k(i) be the second derivative of j(i). Give k(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76264*z**2 + 5*z + 934?\nAnswer: 152528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.033.\nAnswer: 0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 2, e: 3, x: 3, i: 1}. Give prob of sequence xlx.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k. Let f(a) = 44*a**2 - 10. Give f(u(z)).\nAnswer: 176*z**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/3 in -4, -2\/339, 150, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2002 + -301?\nAnswer: -2303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.09 (b) -21 (c) -2 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**6\/24 - d**5\/30 - d**4\/12 - d**3\/6 - d**2. Let f be u(-2). Is (-1 - -2)*(f + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 minutes after 9:36 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + 5*u - 3*u - 2*u. Let m be (-7)\/(-5) + (-2)\/5. Let c be p(m). Solve 5*n + 12 = c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, -4, -8, -16?\n\"Answer: -2*b**2 + 6*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1724 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 2*w - 1. Let b be c(2). Let n be -2 - 0 - (2 + -1). Sort n, b, -2 in increasing order.\nAnswer: n, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1136 and 0.001733.\nAnswer: 1.968688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 450 divided by -6?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y**2 + 13*y + 21. Let x be n(-9). Suppose 3*q + x = 6*q. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100100 (base 2) in base 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-3)*(-14 + -1). List the prime factors of (16\/u)\/(2\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 1. Suppose -c + 15 = -p*c. Put -2, -3, c in decreasing order.\nAnswer: -2, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*d = 0. Let q(c) be the first derivative of d*c**4 + 1\/5*c**5 + 1 + 0*c**2 + 2*c + 0*c**3. Differentiate q(m) with respect to m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.315 - 0.22. Let g = -0.195 + q. Let k = 3 - 0. What is the third biggest value in k, 0, g, -3\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, y: 1, l: 3, x: 5, c: 5}. Give prob of picking 4 c.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5*-1.36\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 13 + 4 - 3 + 2*h. Let l be k(-11). Let x be l\/44 - 2\/(-11). Is -1\/4 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/17750 and 53\/10?\nAnswer: 17750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovoboobobofob. Give prob of sequence oo.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r + 210. List the prime factors of n(-39).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 - -144. What is the derivative of w - 50*l**3 - 24 - 46 wrt l?\nAnswer: -150*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -694 - 9*u + 357 + 337 - 2*u.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17 + 2)\/((-23)\/207) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*z - 32120000, 3*z + 1561817 = -b + 9591817. What is b rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 112 + 33*t - 22*t - 17*t - 4 + 4 - 2*t + (0 + 0 - t)*(0 - 1 + 2) + 2*t - t - 2*t + 4*t - 2*t - t - 4*t - t + 10*t.\nAnswer: -4*t + 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 411600696 and 22429.\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*c + 4. Let n be c\/4 - (-76)\/8. Let p = 13 - n. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -3. Let f = r + 10. Let p be (0 - 2\/(-6))\/(-1). What is the third biggest value in p, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 641123?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 43 - 5 = 0. Let b = m + 48. What is the tens digit of (b + -4 + -3)*-13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 56\/(-6)*405\/(-189)*6.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 4*k**2 - 2*k - 4. Let o be u(-4). Let w be (-1)\/(10\/o + -3). Let m(x) = 4*x**2 - 2*x. Calculate the remainder when 34 is divided by m(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7247.909 decades to months.\nAnswer: 869749.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 - -69.8. Let w = k + -6.1. Let b = 49\/20 - 11\/5. What is the second biggest value in b, -3\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgqg when four letters picked without replacement from qbngwwn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1*sqrt(147)*5)\/sqrt(7))\/((sqrt(700) + 1*sqrt(700) - sqrt(700))*5).\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9963e5 + -6?\nAnswer: -9963eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 9:39 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4061 divided by -4061.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -20412?\nAnswer: 20415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 + 215\/3. Sort l, -3, 3\/2 in decreasing order.\nAnswer: 3\/2, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1872*a + 192*a + 193*a - 170*a + 275*a.\nAnswer: 2362*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5}. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*k + 25*k - 11*k)*(k + 6 - 1 - 1) in the form o + p*k + c*k**2 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 11*j - 4*j. Calculate the remainder when j is divided by (-9)\/(-27) + (-17)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 - 120*v + 220.\nAnswer: 5*(v - 22)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9617 or -41884?\nAnswer: -9617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1047066 and 258093.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 328 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k. Suppose 0 = 4*h - 8. Let u = h + k. Solve -u*p - 6 = v + p, 5*p + 10 = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**5\/20 - 7*a**4\/12 - 4*a**3\/3 + 3*a**2 - 3*a. List the prime factors of o(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1878 and -3.\nAnswer: 5634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -488 + 47*n - 9*n - 36*n to the form f*n + h and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3640 + -3643. Let s(y) = 10*y - 13. Give s(p).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 5:57 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_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: Calculate the remainder when 65 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 20 = 4*a, -23 = 3*r + 4*a + 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1546 = 22005*f - 20459*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.392255687 to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 4. Let x be g(5). Suppose 2*r - 5 = -j - 2, 5*j + 45 = 5*r. Let w = 64\/13 + j. Is x less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 770*v + 5365. Give r(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-176)\/(-60))\/4 - (-6)\/(-15). Suppose 22 = -2*q - 4*i - 2, -q = 3*i + 16. Which is the third smallest value? (a) z (b) q (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (132\/110)\/((1\/5)\/1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d + 1281 = 39*d + 35*d for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69192384, 69192386, 69192388, 69192390?\nAnswer: 69192392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -619 + 7429\/12. Let k(i) be the second derivative of 2\/3*i**3 + 2*i**2 + w*i**4 + 0 + 5*i. Factor k(n).\nAnswer: (n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3009 + -3007. Which is the nearest to -9? (a) -7 (b) f (c) -4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4492*v + 48. Let z(o) = 1498*o + 10. Let w(i) = -6*h(i) + 17*z(i). Differentiate w(n) wrt n.\nAnswer: -1486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 y when four letters picked without replacement from bdbrymmvrrmrdyddyrmd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -316760, -316826, -316916, -317042, -317216?\n\"Answer: -2*q**3 - 52*q - 316706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 4:46 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 333840580121660 - 0.3\nAnswer: 333840580121659.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -5. Let m = 329 + -328. Let a = -4 - -6. What is the closest to m in -1, f, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**13)\/p)\/(p*p\/p**(2\/29)*p))**(18\/11) assuming p is positive.\nAnswer: p**(-756\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*7*12\/546.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmdhcd. Give prob of sequence ddmc.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 + -5 - 3) + -17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v - 21*v = -12*v. What is the second biggest value in 1, 10, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 305748608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2714*n**2*r + 4*n - 418*r wrt n?\nAnswer: -5428*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -1\/6*w**3 + 0*w + 1\/6*w**4 + 18*w**2 + 1\/20*w**5 + 0. Let n be f(-2). Are 3 and n nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -526 + 528. Suppose -4*s + 3*q - 11 = -5*s, -4 = s - 2*q. Factor -j*k**2 + 0*k**s - 24 - 32*k - 31 - 73.\nAnswer: -2*(k + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**4\/12 + 73*h**3\/6 + 36*h**2 + 2*h + 236. Factor t(a).\nAnswer: (a + 1)*(a + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3720, 4373, 5448, 6939, 8840?\nAnswer: 11145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.109 + 1.491. Let r = 1.4 + z. Let i = -2.7 - -3. What is the second smallest value in r, -0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175 - 172. Solve -2*x - t = -11, -q*x + 12 + 8 = 5*t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmf when three letters picked without replacement from yzzzqqqfqfzmyz.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b. Let l be t(0). Suppose -g - 4 = -4*a, l = 4*g - 2*a + 7 - 19. Solve 3*y = g*f - 23, -3*f + 0*f - 2*y + 13 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5170.\nAnswer: 2, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1\/3 (b) 0.3348 (c) -0.5 (d) -1.13 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77.3 + 97. Let t = 51.5006 - 51.5006. Is t equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3586*p**2 - 35*p**3 - 3586*p**2.\nAnswer: -35*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 8*r - 8*r = 1251. Calculate the remainder when 139 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(5) + -1 - -6*sqrt(240)\/sqrt(12)) + (-5*(3 + -6*(1 + sqrt(125) + sqrt(125))))**2.\nAnswer: 9013*sqrt(5) + 450226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/37219 and -49\/223782.\nAnswer: 640687866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 26. Suppose 38*o - 43*o = -c. Let p be -2 + (205\/40 - o). What is the closest to 10 in -2, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*n + 129 - 381. Solve 4*m - 2 - n = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3978 - 3977.8. Which is the third biggest value? (a) 95 (b) d (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 a factor of 68806921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-9\/4)*f\/((f\/(f\/f**16*f))\/f) assuming f is positive.\nAnswer: f**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, m: 2, l: 1, s: 1, f: 1, w: 1}. Give prob of picking 1 w and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 69*v + 137. Let m(g) = 14*g + 27. Let d(o) = -2*i(o) + 11*m(o). Find the first derivative of d(w) wrt w.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*g + 11 + 15 - 26.\nAnswer: 103*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 720*v + 3550.\nAnswer: 2*(v + 5)*(v + 355)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -1\/5*y**5 + 0*y + 0*y**2 + 0 - 1\/5*y**3 + 2\/5*y**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(1*6\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/13 in 0.031, 4, 171?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 116*h*k + 3*h*s - 2*h + 70*k*s**2 + k + 470*s**2 + 188 with respect to s.\nAnswer: 3*h + 140*k*s + 940*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g + 168. Let m be u(37). Let o = 134 + m. What is the highest common divisor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20423 (base 5) in base 13?\nAnswer: -80b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4)*l**(2\/9))**(-8) assuming l is positive.\nAnswer: l**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x - 20. Let l be k(-15). Let u(h) = -h**2 + h + 14. Let v be u(l). Let m = 377\/5 + v. What is the nearest to 2 in -3, m, -6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305621 to the power of 1\/2, to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 11. Let d(y) = y + 12. Let k(g) = 6*d(g) - 7*t(g). Suppose r + 0*r = 4*x - 24, 0 = 5*r - 2*x + 30. Give k(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/3198720 and 65\/3430784.\nAnswer: 1749699840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1052809, -1052767, -1052725, -1052683?\n\"Answer: 42*p - 1052851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bffb when four letters picked without replacement from {c: 8, b: 2, f: 2, z: 7}.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -7*z**2 + 29*z - 4. Let f be c(4). Suppose 2*m = 5*o + 83, -3*m + o + 3*o + 135 = f. Which is smaller: -0.2 or m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 2*g + 1, -q + 17 = -2*g + 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + sqrt(192) + 1*(sqrt(192) - sqrt(192)*1) + -3 + sqrt(192)*6 + 1))**2.\nAnswer: 235200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 346 - 691\/2. Put c, 30, 2\/7 in decreasing order.\nAnswer: 30, c, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlljwjfmpjlwljml. What is prob of picking 1 m, 1 j, and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 2220?\nAnswer: -2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 30\/20)*((-224)\/(-24))\/7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 19*x + 22. Calculate the remainder when 15 is divided by h(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - 7*x**2 + 15*x + 23. Let s(r) = -3*r**3 + 11*r**2 - 22*r - 35. Let w(k) = -7*j(k) - 5*s(k). What are the prime factors of w(6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*m + 2*m + 304. Let s(v) = -v**3 - 19*v**2 + 5. Let i be s(m). Solve f - i = -3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvgssuysguuuuug. Give prob of picking 1 y, 1 s, and 2 u.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h + 10. Let y be (-14 - -15) + 4\/2. What is the remainder when 73 is divided by q(y)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r**2 - 2*r + 2. Let w = 755 + -753. Let x(s) = s**2 + s. What is w*x(f) + u(f)?\nAnswer: -3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3251*s**3*u**5 - 5*s**3*u**2 - 160954*s**3*u - 2*s*u wrt u.\nAnswer: 65020*s**3*u**3 - 10*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 14?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y = -5*z + 4, -y - z = -5*y - 28 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 185614171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 14, 30, 62, 116, 198, 314?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 40, 16, -62, -212, -452?\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 9 + -5 + 5 - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34698 is divided by 1284.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5286246\/19 = 278224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -621686 - -621705.99935. Let z = d + -20. What is z rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11728448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24645 - -34947. Does 24 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - i - 30 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2048 and 114112?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6647.359 centuries to decades.\nAnswer: 66473.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -74*v**2 - 47*v + 5. Give r(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-11 + -13 + 14 - -8) - 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h - 41856 = 580*h + 700*h for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00083631 to five dps.\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 6*f**5\/55 - 29*f**4\/22 + 52*f**3\/11 - 76*f**2\/11 + 48*f\/11 - 731. Suppose q(u) = 0. What is u?\nAnswer: 2\/3, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5))**(-12)*(j**2)**37 assuming j is positive.\nAnswer: j**(346\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 g, and 2 r when four letters picked without replacement from {r: 3, y: 3, g: 1, i: 2, n: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2625, -2624, -2623, -2622, -2621, -2620?\nAnswer: -2619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2174843 and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.92 + -2. Is 1\/2 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.63 + 0.37. Let y = -28.5 + l. Let o = -22.499693 - y. Round o to 5 dps.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, c: 2, h: 2, d: 8}. What is prob of sequence hc?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9603 = 9603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-1 - 1) - 47) + (-104 - (-84 - 10)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + y + 4)*(0*y**3 - y**3 + 0*y**3) - 34*y**2 - 15*y**4 + 34*y**2)*(1 + 2 - 1) to c*y + h*y**2 + z + b*y**4 + r*y**3 and give b.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.4 - 13. Let p = -1.6 - b. Let o = -6.9976 + p. Round o to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*n - 5*q = 60*n + 23, 0 = 2*n + 4*q + 18 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 6*u - 56. Suppose 0 = 12*i - 9*i - 54. Is 50 a factor of o(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49920, 49786, 49556, 49224, 48784, 48230?\nAnswer: 47556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -26. Suppose 3*n = k + 2. Suppose 0 = -v, n*v - 12 = -4*o - 0*v. Solve -o*q = 15, 2*h + 0*q - 4*q - 18 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 149*t**2 - 280*t - 3324. Calculate i(151).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 + 3*q**3 + 2 - 3258*q**4 + 3267*q**4 - 2*q**2 as j + n*q + o*q**3 + m*q**4 + b*q**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - (sqrt(190)*-2 - sqrt(190))) + sqrt(190))*6)\/((sqrt(10) - (sqrt(90) + sqrt(10)))*6).\nAnswer: -5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37\/4 + 10. Let l = -75 + 76. What is the smallest value in i, l, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1071, -1070, -1069, -1068, -1067, -1066?\n\"Answer: z - 1072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/11))**(-2\/45)*l**(-2)\/(l*l**(3\/8))*((l\/(l**2*l))\/l)**(13\/2)*(l**(4\/9)*l*l)\/l**(-6\/11) assuming l is positive.\nAnswer: l**(-78713\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - g = 11, 20*r - 24*r + g = -13. Let l = 99 + -6. Suppose r*u = 5*u - l. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 16*y**2 - 16*y - 15. Give g(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b + 2*a, -b - 100*a = -97*a - 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.93366 + 0.06634. What is the fourth smallest value in 1\/8, -0.1, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + z - 2*z)*(0*z**3 - 3*z**3 + 5*z**3) + 6*z**4 + 5*z**4 - 5*z**4 + (4*z**3 - z**3 + 2*z**3)*(-z + 5*z - 2*z).\nAnswer: 20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Suppose 0*p - b*p + 12 = 0. Suppose -5*u + p*d + 285 = 0, 0 = -4*u + 3*d + 122 + 105. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33246267661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50.4 + 8.4. Let z = -68 - n. Let q = z + 31. What is the biggest value in -4, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*sqrt(72))**2 + 5 + 2*(sqrt(128)*1 - (sqrt(2) - 1*sqrt(2))*4) + 4.\nAnswer: 16*sqrt(2) + 1164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -654 + 418*m + 648 + 4*m**2 + 5 to l*m + a + p*m**2 and give l.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/5545 and -29\/105.\nAnswer: 116445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1)*6 - (sqrt(11) + (0 + sqrt(11))*-4).\nAnswer: 6 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, j: 1, o: 3, u: 2, k: 2, l: 8}. Give prob of sequence jl.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2645.8 times -12178?\nAnswer: -32220552.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1328 and 366129102?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1068 and 18.\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 184740 to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11431 + -11073. What is the smallest common multiple of 18 and o?\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 17135?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 13 (c) 931 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*h + 5260 + 1460. Calculate the common denominator of 325\/h*(51\/21 + -2) and 123\/70.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**5\/2 - 45*p**4\/2 - 757*p**3\/2 - 3931*p**2\/2 - 4080*p - 2950 = 0.\nAnswer: -5, -2, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-6) - 168\/180. Which is the third smallest value? (a) -0.1 (b) i (c) 24 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1626 or -9\/632?\nAnswer: 1626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 3*y + 16, 7*m - 10 = 1736*y - 1737*y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -22. Suppose -5*t + 3*t + 8 = 0. Suppose -t*a + a + 2*y = -l, 4*y + 28 = 4*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1329*z**2 - 1330*z**2 - 1336*z**2 + 3994*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -3*b**5\/10 - 11*b**3\/3 + 9*b. What is the second derivative of s(a) wrt a?\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6352921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 131585023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -21*k**2 - 4*k + 22. Let z(h) = -62*h**2 - 12*h + 62. Give 14*r(v) - 5*z(v).\nAnswer: 16*v**2 + 4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 5)*(-21022*h**2 + 144*h**3 + 21022*h**2) as b*h + u*h**2 + t*h**3 + r and give t.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6949305 divided by -3333\nAnswer: 2085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*h - 2*a = -20*h - 21*h - 15, 0 = 4*h - 2*a + 26 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2 (b) -0.03 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2\/(r**2\/r))\/(r*r\/(r**3\/r*r*r)*r**(1\/6))*(r**(3\/5)\/r**(-1\/7))**(1\/31) assuming r is positive.\nAnswer: r**(18601\/6510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 - 26. What is the remainder when p is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2015\/424 + -232\/53. Solve 3\/2*v**2 + l - 15\/8*v = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14, -25, -40, -59, -82, -109, -140?\n\"Answer: -2*f**2 - 5*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*b + 18 = 0, 13 = 3*n - 2*b - 11. Let g = 6 - 1. What is the lowest common multiple of g and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11420068 is divided by 202?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 75 = 3*x, 6*x - 75 = 3*x - 3*p. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*g - 21*g**2 - 21*g - 32*g.\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 10*a**2 + 3. Let v be m(-8). Let p = -56 + v. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -437845327\/191820 - -16\/15985. Let z = 2291 + k. What is the common denominator of z and 83\/42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 280*l + 292*l + l**2 - 524*l + l**3 as d*l + u + x*l**3 + v*l**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 171.81 + -177.2. Which is the smallest value? (a) v (b) -0.19 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + h = -3*h - 20, -5*h = -r + 22. Suppose 160 = 5*t - 3*g, 0 = r*t + g - 40 - 13. Calculate the remainder when t is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.84 + -1.14. Which is the closest to t? (a) 5 (b) -2.3 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -428, -299, 8.\nAnswer: -428, -299, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7068408023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**4\/4 - h**3\/2 + 5*h**2. Let z(l) = -5*l - 2. Let q(v) = 2*p(v) - 3*z(v). Let m(s) = -2*s**2. Determine q(m(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1256125 (base 7) to base 12.\nAnswer: 7b86a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43222.62 months to millennia.\nAnswer: 3.601885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/160*16 - 42\/5. Let s be (1148\/21 - 8)\/(p\/(-60)). Calculate the highest common divisor of s and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 + 637*c**2\/2 + 131075*c\/2 + 8789375\/2.\nAnswer: (c + 175)**2*(c + 287)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -31*f**3 - f**2 - f. What is a(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m - 3*m + 7*m + (1 + 2 + 1)*(2 - 2 - m) + m + 2*m - 4*m)*(-5*m + m + 3*m)*(-1 + 2 - 2) as h*m**2 + w*m + u and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -344 - -393. Suppose -4*m + y = 5. What is the greatest common divisor of 341 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 161, 186, 257, 398, 633, 986, 1481, 2142?\n\"Answer: 4*b**3 - b**2 + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17277*f = 17255*f + 589 - 127 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5120 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16313936 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*u - 18 + 66, 2*u = 5*v - 196. Suppose -4*f + 52 = -0*f - 2*s, 3*f - 2*s - v = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 1, -4, 1\/5, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, -4, 3, 24, 5.\nAnswer: -10, -4, 3, 4, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5081395317 to the nearest integer?\nAnswer: 71284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rabaajbrrblrbjjraa. What is prob of picking 2 a, 1 j, and 1 b?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 9. Let f be 40\/(-48)*-2*3. Which is the fourth smallest value? (a) f (b) 2 (c) 2\/13 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h - 7. Let a(o) = -o - 5. Let g(n) = -6*a(n) + 5*d(n). Let f = 19 + -28. Is 9 a factor of g(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**4\/8 + i**3\/3 + 2*i**2. Let h(w) = 4*w - 2. Let z(c) = -c**2 - 5*c - 2. Let r be z(-5). Give r*h(g) - 3*k(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = 4*u - 3*m, -1 = -u - m. Suppose 5*y - 5*n - 5 = 0, 3*n - u = 4*n. Solve 4*b - 3*o + 4 + 31 = 0, y = -3*b - 5*o + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 - 2 - 5)*((6 - 2 - 2)*(13*w - 12*w - 35*w) + 2*w + 0 + 0) in the form n + f*w and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 13 (c) -1 (d) -2\/11 (e) -25983\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 + 63. Let r = -26 - 28. Let u = w - r. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-57))\/((-42)\/189)*(-16)\/48\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 + -69. Sort -1\/4, 3, q, -246 in decreasing order.\nAnswer: 3, q, -1\/4, -246","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -890060 divided by -113.\nAnswer: 890060\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 2:59 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/180)\/((-1)\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - 7*r**3 + 4*r - 10*r**3 - 5*r**3 - 9*r**3 + 12*r**3 + 10*r**3.\nAnswer: -9*r**3 - 2*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0174827 days in milliseconds?\nAnswer: 1510505.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21668, -21671, -21678, -21689, -21704, -21723, -21746?\nAnswer: -21773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-7)\/((-56)\/(-12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 63209507 * -0.1\nAnswer: -6320950.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/17)\/i)**(7\/2)\/((i*i**(-25\/4)*i)\/(i\/((i**(-14)*i*i)\/i))) assuming i is positive.\nAnswer: i**(975\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 0.216592.\nAnswer: 0.516592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(-1 - 3\/(-2)). Let v = i - 1. What is the units digit of (-3)\/v - (-2 - 15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121762398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -180*x**2 + 11*x - 1. Let d be a(1). Let k be (-88)\/d - (-4)\/(-68)*2. What is the third biggest value in 1, -5, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 2*w**3\/3 + w**2\/2 - 3*w. What is the derivative of z(j) wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*n**3 - 122 - 2*n**3 + 202 + n**2 - 102 wrt n?\nAnswer: -27*n**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 583*g**9\/126 - 1877*g**5\/60 + 512*g**2 - 4. What is the third derivative of b(k) wrt k?\nAnswer: 279840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 38, 0.29, 5\/26?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6352287 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1284717, -1284384, -1284051, -1283718, -1283385?\nAnswer: -1283052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**2 + 4*l + 3. Let o(v) = -10*v**2 - 9*v - 5. Let z(a) = 4*o(a) + 9*t(a). List the prime factors of z(-4).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 450, -1\/12, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 445 + 1867 = 0. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -10*r - 247. Let o be p(-25). Find l such that -3\/5*l**4 + 9\/5*l**o + 3\/5*l - 9\/5*l**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -23 - (-1 - 3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -53566.\nAnswer: 53565.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31550 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35546, 35545, 35546, 35549, 35554, 35561?\nAnswer: 35570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 459110 divided by -1.\nAnswer: -459110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 336 = 41*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252)*-3)\/sqrt(6))\/(-3*sqrt(216)) + (sqrt(567) - (-1 + sqrt(567)))*3 + (0 + sqrt(567) + sqrt(567))*-4 + -3)**2.\nAnswer: 1300327\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -60*t**2. Let b = 293 + -270. Let d(c) = -58*c + 37*c + b*c. Give d(g(v)).\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 383*w**3 - 68*w**3 - 7 + 8 + w**3 - w**3 - w**3 + (0 + w**3 + 0)*(-1 - 1 + 1) + 21*w**2 - 10*w**2 - 10*w**2 - 19*w**3.\nAnswer: 294*w**3 + w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(-1\/5)*c)\/c))\/(c*c\/((c\/(c\/c**8))\/c*c)*c) assuming c is positive.\nAnswer: c**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.07 - -5.93. Let u be 1\/(-2)*(-28)\/(-49). Put 2, j, u in decreasing order.\nAnswer: j, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 23770 + 85800 = 5*s, 24 = -4*s. What is the thousands digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -120 and -15.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-5))\/((-60)\/20)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjjbj. Give prob of picking 2 j.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) - (sqrt(425) - 1*sqrt(425)) - sqrt(425))*2)**2*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 51*(-7)\/((-21)\/2). Let o = u + -23. Suppose 6 = k - o. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 2208*v.\nAnswer: 4*v*(v - 552)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*w + 4*j, 243573*w - 243575*w - 5*j = -21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**7*b*b**(-2\/17)*b*b**(5\/6)\/b*b**(-9) assuming b is positive.\nAnswer: b**(-29\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6285950 divided by 125719?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 113, 233, 441, 761?\nAnswer: 1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m - 1. Suppose -4*o = -5 - 3. Solve 0 = 2*f - 2*q + 2 + o, m*f = 2*q - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -610 (b) -0.5 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 312*u**2 + 265*u - 14324. Give h(-311).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/2 + 1 - (-47 + -4). Suppose 0 = -50*i + r*i - 174. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*a**3 - 83*a**3 + 143*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0 (c) 124 (d) -10\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17051 and -0.3.\nAnswer: -17051.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -557.18 + 570. Let n = -13.02 + f. Let s = -8 + 3. Put n, 5, -1\/4, s in decreasing order.\nAnswer: 5, n, -1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v. Let m(x) = 6*x - 312. Determine c(m(o)).\nAnswer: 18*o - 936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21581731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -943*c + 377440 = 2427*c for c.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 1, g: 1}. Give prob of sequence gy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 471524212 to the nearest integer?\nAnswer: 21715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -c9 (base 13) in base 5?\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 3*t = -3*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*z - 5*j = -60, 0 = z + j - 60. Suppose -v - 4*v = -z. Calculate the common denominator of -1\/11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -456?\nAnswer: -182.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 0 + 1 - o**3 - 5 + o**2 - o**2 - 2*o**2. What is n(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 549 - 541. Suppose 10*z = b*z + 4, -5*z = 3*g - 1090. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14621 or 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/37605636 and -23\/28.\nAnswer: 263239452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f*f\/(f*f*f**(-1\/26)\/f*f*f))\/f)\/f))**(1\/6) assuming f is positive.\nAnswer: f**(103\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19 or 210\/11?\nAnswer: 210\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 5*b**2 - 5*b - 6. Let u be -5*(-3 - (1 - 5)). Let n be a(u). Suppose 2*j + 2 = -2*d, -4*j = 2*d + 1 + 11. Solve 3*q - n = -d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45*(-9)\/(-54)*(-1)\/(6\/12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 2:38 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 6. Let p(k) = -3. Let i(r) = -10*p(r) - 4*y(r). Let o be i(2). What is the highest common factor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 9 + 0 = 0. Let v be (-9)\/12 + 69\/12 - (-11 - -2). Let x(j) = -v*j - d*j - 15*j. Let k(n) = -n**2. What is k(x(g))?\nAnswer: -1024*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*v + 184, -4*n + v + 140 = -2*n. Suppose -5*r + n = -2*u, 5*r + u = 4*r + 8. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6272*q + 6274*q - 882879 = -5*p, -4*p + 2*q = -706278. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q = -24*q + 869. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -14*i + 8. Let x(c) = 7*c - 29. Let f(w) = -8*w + 30. Let t(k) = 4*f(k) + 5*x(k). Let u be t(7). Let g(n) = 5*n - 3. What is u*m(q) - 11*g(q)?\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-18)\/15)\/(-1))\/(3\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 118956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*t - 3. Let w be ((-2)\/(-6))\/(t\/3). Sort w, -5, 4 in decreasing order.\nAnswer: 4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from jjjddudjjtjudjpujju.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-2722057\nAnswer: 1088822.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 162\/8 - (-10)\/(-40). Let u = i - 14. Let f(w) = 65*w**2 - w. Let z be f(-1). What is the greatest common divisor of u and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475556*z + 744 = 475532*z for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = j + 23, 0 = b - 3*j - j - 17. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5912\/11 at most as big as -536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/8 - h\/8 + 5\/2.\nAnswer: -(h - 4)*(h + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26858493 and 1426?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 232 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 392990 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8672 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-2) + -2 - 246\/(-164). Suppose 108 = 4*n - l, a*n + 50 - 131 = -2*l. What is the smallest common multiple of 27 and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756813606.\nAnswer: 2, 3, 53, 167, 14251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/6 + (-18)\/(-27). Let v(h) be the third derivative of 0 + 0*h + 1\/240*h**5 + 0*h**3 - h**2 + 1\/48*h**w. Determine n so that v(n) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-16)*g\/g**14)**(-2\/75) assuming g is positive.\nAnswer: g**(58\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75776258*r**4 + 569*r**2 - 33863*r wrt r?\nAnswer: 1818630192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200529 and 1569267?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*k**2 - 3*k**4 + 0*k**3 + 7*k**4 + 4 + 77*k - 41*k - 44*k - k**3 as p + r*k**4 + h*k + t*k**3 + u*k**2 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73670.904 microseconds to hours.\nAnswer: 0.00002046414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3415 divided by -7\nAnswer: 3415\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 9 = 4*q + 4*n, -10 = -2*q + n. Let d(t) = -5 + 2 + q - 5 - 11*t. Let z(f) = f**2. Give d(z(v)).\nAnswer: -11*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -7*j - 98. Let s(w) = 42*w - 12*w + 8*w + j*w. Let z(v) = 2*v. Give s(z(q)).\nAnswer: 104*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3608209 or 3608211?\nAnswer: 3608209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 11) to base 9\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - p + n + 17, 0 = p - 2*n - 21. Suppose d - 2*d - 3*k = -p, -4*k = 5*d - 21. Suppose c + 4 = -3*c, -c = -t + d. Solve -o + 4 + 1 = t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 104, 889, 2938, 6851, 13228, 22669?\n\"Answer: 100*c**3 + 32*c**2 - 11*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3461*38.46.\nAnswer: -133110.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(0\/(-3) + -1). Let k = 1 + m. Find the second derivative of 2*t**k + 0*t**3 + 0*t**3 + 5*t + t**3 wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 380 = -68*n + 37*n. Solve -286*l = -291*l + n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -8)\/(24\/(-16)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 0*r**2 - 3\/20*r**5 + 1\/6*r**4 + 13*r + 0*r**3 + 0. Factor i(a).\nAnswer: -a**2*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91.5 + 91. Let z be ((-16)\/(-90))\/(-2) + 4\/18. Let j = 933\/7 - 133. What is the smallest value in z, g, j, -2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 9. Let h be b(-6). List the prime factors of 8\/(h + -1) - -157.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2)\/(r**(-9\/4)*r)*(r\/(r*r\/(r*r**(-1\/6))*r*r*r))**23 assuming r is positive.\nAnswer: r**(-883\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -11. Suppose 3*j - z = 2*j. Is 3\/(-12) - (-306)\/j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2643120 + 2653792 = -232*o for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyy when three letters picked without replacement from {y: 3, g: 1, h: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 0 + u + 3*u + 5*u + 4. Let o be l(4). Suppose 4*y + 2 = -h, -7*h + 5*y + o = -2*h. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-10 + 2)*2\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 5, 5\/3, 0.1, -0.74, -7.\nAnswer: -7, -0.74, -1\/5, 0.1, 5\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37.9999972 + 38. Round j to seven dps.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 195*f + 862*f + 2420*f + 499*f + 1433*f in the form r + v*f and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 365.\nAnswer: -4\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s + 5*s + 0*s + 92*s**2 + 354*s**2 + s as l + a*s + z*s**2 and give z.\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s. Let c(t) = 14*t**2 - 12. Let g(m) = -m**2 + 1. Suppose -11 = -4*q - 4*j + 25, -3*q + 4*j + 48 = 0. Let u(l) = q*g(l) + c(l). Determine r(u(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.32 + -361.\nAnswer: -346.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1053.856ug?\nAnswer: 0.000000001053856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(3*(-11)\/297).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 7 = -q, -4*d - 8 = -0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1931 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3576039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 4*t**2 + 3*t - 3. Let k = 26 - 13. Suppose -14*d - 4 = -k*d. Determine j(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/33066 and 77\/17034.\nAnswer: 562122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 9:29 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + (sqrt(72) - sqrt(72)*-2)**2.\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (-9 - -2) - -2. Solve 2 = -i*d - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 1)*(39*z**4 - 121*z**4 + 51*z**4).\nAnswer: -124*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13987*r**3 + 13591020*r - 13591020*r)*(2 + 2 - 1) as l*r**2 + u*r**3 + y*r + f and give u.\nAnswer: -41961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00031481954 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601*d - 170*d = -9407 - 9097 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, 3, -9.\nAnswer: -10, -9, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -104*h. Let m(b) = 845*b**2 - 428*b**2 - 438*b**2. Determine p(m(z)).\nAnswer: 2184*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**6)\/(n**(-5)\/n))**(18\/13)\/(((n**0\/n)\/n*n)**(-2\/33)*(n*n**(-1))**(-19)) assuming n is positive.\nAnswer: n**(568\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 7*q - 224. Let w be f(-12). Solve -w - 3 = -3*d + i, 4*d + 4*i - 36 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c. Let i(f) = 20*f. Determine i(g) + 10*l(g).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3\/2 (b) -0.2 (c) -8 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 151*d**3 + d**2 + 712 wrt d?\nAnswer: 453*d**2 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.41 - 5.41. Let z = 213\/962 + -5\/74. Sort l, z, -0.3 in decreasing order.\nAnswer: z, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.02*-37.06\nAnswer: -519.5812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -21*t + 209. Let y be f(-19). Let k = 1367 - y. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9b0 + -3?\nAnswer: -9b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 0.3 (b) -4 (c) -3\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + -2*sqrt(228))\/sqrt(12) + sqrt(95)\/(sqrt(125) + sqrt(5)))**2.\nAnswer: 475\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*s + 0*s - 3*s)*(2*s + 2*s - 5*s) + 1 - s**2 - 1)*(s**3 - 3*s**3 + 0*s**3).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14\/(-4 + 6))\/((-5)\/(-265)).\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33400 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 2*t - 55. Let p be n(-9). Suppose 10*j - 11*j = 0. Let w = -0.1 + -0.4. What is the closest to j in -0.1, p, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -569 or -32483\/57?\nAnswer: -569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -1 + (-3)\/(-1). Let a(u) = -u**3 - 5*u**2 + 1. Let h be a(-5). Let r = h + m. Solve -3*w - 12 = -4*i, w = 3*i - 7 + r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -17326?\nAnswer: -17327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40725 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 + 12*w**3 + 9*w**2 - 42*w + 24.\nAnswer: -3*(w - 4)*(w - 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27604\/563 or -49?\nAnswer: -27604\/563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 7*m + 3. Let b be q(7). Suppose 3*a + 5*t = 200, 281 - 67 = b*a - 2*t. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2 + 37 = 5*h, -2*x = -6. Let f = -25 - -43. Suppose -2*k - 3*b + 42 = k, 3*k - 5*b = f. What is the remainder when k is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -332.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 270117338 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 21.6. Let y = s - 0.4. Let c = -264 - -260. What is the closest to y in c, 2\/23, -2?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-18 - -28) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -925 + 849.8. Let p = 74.8 + s. Put 12\/7, -0.2, p in descending order.\nAnswer: 12\/7, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(0 + 0 + 2 + (2 - 4 + 1)*(-19 + 28 - 42))*(0*o + 2*o + o).\nAnswer: 105*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 1 = 5*z, u - z = -3*z - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(128) - ((-4 + sqrt(128))**2 + 1))*6 + -5).\nAnswer: -2160*sqrt(2) + 4375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -l - 3*l + 194, -2*l - 3*y + 107 = 0. Find the third derivative of 4*m**2 - 57*m**4 + 7*m**2 + l*m**4 wrt m.\nAnswer: -264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9031048661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/5)*l*l)**(-21)*l*l**(2\/7)\/l*l**7*((l*l**(-1\/3))\/l)**(-1\/11)*l**(-7)*l*l*l**(-8)*l assuming l is positive.\nAnswer: l**(-68473\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4153, 16609, 37377, 66463, 103873, 149613, 203689?\n\"Answer: h**3 + 4150*h**2 - h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -2, -2.96, 1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/88 and ((30030\/20)\/13)\/108.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(19)*1*4 + (1 + sqrt(1539))**2 - (-1*(sqrt(1539)*2 - sqrt(1539)))**2).\nAnswer: -22*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*r - 181512 = -2610*r for r.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 + 21*m**2 + 15*m - 8. What is j(12)?\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 12:46 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -459*h**7\/14 + h**5\/12 - h**4\/8 + h**3\/6 - 5866*h**2. Find the third derivative of q(x) wrt x.\nAnswer: -165240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1530 and 355 - (136\/(-408))\/((-1)\/(-15))?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.4. Let s = 2\/1017 - -335\/2034. Let n = 255 + -255.4. What is the third smallest value in n, u, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1579 - 1585. Let w(o) = -o + 2. Let l be w(-7). Let x = l + c. Solve i - 2*b + 5 = -4, x*i - 1 = -b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 2\/3*k**3 - 3 + 0*k + 0*k**2. Let g(i) = 4*i. Calculate g(c(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10694 + 10721. Is -181 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2 + u - 1. Let z = 7 + 0. Let v = z - 6. Let h(b) = b + 1. Let n(q) = v*y(q) + h(q). What is the second derivative of n(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 607\/137445 - 4\/1309. Let t(g) be the third derivative of -1\/7*g**4 + 0*g + 0*g**3 + 4\/105*g**5 - h*g**7 + 0 + 1\/420*g**6 + 3*g**2. Factor t(k).\nAnswer: -2*k*(k - 2)**2*(k + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l - 5. Let k = -223 - -343. Let h be 4\/3*k\/(-16). Let q(u) = u - 2. Let t(p) = h*q(p) + 4*g(p). Let w(b) = 3*b. Determine w(t(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -332 + 333. Let u = -3 - -3.4. Which is the third biggest value? (a) f (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 5*n - 3*x - 31, n - 2*x = 11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(6\/7)*h)\/h**(-16))\/((h**(-1\/15)*h)\/h**(-42)) assuming h is positive.\nAnswer: h**(-2528\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -177 + 176.8. Let s = 59 - 61. Which is the third smallest value? (a) n (b) 3 (c) -4 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10 = 0, s + 3*q - q = 29. What is the tens digit of (76 - s\/(-5))*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 5*v + 4*b, -4*b + 2 = -v - v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**4*f*f**35\/f)\/((f\/(f**12\/f*f))\/f**11) assuming f is positive.\nAnswer: f**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*z + 297, 2*g = g - z - 57. Let j = g + 63. Suppose -3*k + 75 = -3*b, -2*k - 2*k - j*b = -88. Solve -y + 22 = -4*f, -5*f = 4*y - 3*y + k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 4. Let t be h(11). Suppose 35*k = -1036530 + 372930. What is the tens digit of (k\/(-35))\/6 - 2\/t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.93091 to one decimal place.\nAnswer: -15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.869381ml to litres.\nAnswer: 0.000869381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, -460, 5, 2\/9, 0.01, 7905?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13998, -26379, -37142, -46287?\n\"Answer: 809*v**2 - 14808*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*z. Suppose z*t + 88000 = -4*t. Round t to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Let k(y) = 32*y**2 + 4*y - 3. Let i be k(q). Suppose 0 = 5*s + j - 500 - i, -3 = -j. Does 21 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43863.\nAnswer: 3, 14621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -33068512.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 2*c - 4, 5*c = -3827*n + 3822*n - 40 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, 2, -506, -1, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 305*w - 52773. Determine f(173).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 5*i**2 - 6*i + 4. Let u = -37 - -43. Give l(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 131256713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 + 3*a**2 + 3*a**2 - 1 + a - 3*a**2. What is the tens digit of n(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2815*s**2 - 6974*s**2 - 6974*s**2 - 6969*s**2 + 23742*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + sqrt(84)*1 + sqrt(84) + sqrt(84) + sqrt(84) + sqrt(84) - sqrt(84) - sqrt(84))\/sqrt(7))\/sqrt(6) + 2*(-1 + sqrt(50)) + sqrt(50))**2.\nAnswer: -76*sqrt(2) + 726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*s = -7, 5*s - s = -4*o + 20. Let c = -9 + 14. Suppose -c*z + 75 = -2*w - 32, o*z + 3*w = 39. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 3576\/216)\/(((-2)\/(-9))\/1). Solve -f = 293*x - 283*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 3 - 1)*(-3 + 3 + 2*h) - 12*h + 0*h + 3*h)*(-1 + 1 + 1)*(h + 2*h - 6*h)*(-40 + 29 + 43) as p*h**2 + b*h + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33246.\nAnswer: 2, 3, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*q + 83*q + 84 = 0. Calculate the least common multiple of q and (2 + -1 + 3)\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yffysfssssfsgsfyfsyf.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -5. Suppose 17 = g*q - 23. List the prime factors of ((-24)\/q)\/((-4)\/20).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 3303?\nAnswer: -3306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = q - 11, -6*t = 2*q - 10*t + 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3523589.\nAnswer: 3523589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 174, 179, 186?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -18. Solve x = 3*i - 0 + 9, i + x = -g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 92*h**5\/5 + 133*h**2\/2 + 255. Find the second derivative of y(k) wrt k.\nAnswer: 1104*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 624 and 12854751?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/6*(-18)\/9. Let b be (-3)\/(-15) + (-99)\/(-5). Calculate the least common multiple of 1 and n\/((-75)\/b)*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(2\/5))*o)\/o)\/o**(-7\/2)*o*(o*o*o\/(o\/(o\/(o\/(o\/(o\/(o\/(o**(-2\/21)\/o))))))))\/o*o*(o*(o*o**(-5))\/o*o)\/o assuming o is positive.\nAnswer: o**(1049\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 796\/(-16) - (29 + 1596\/(-56))*(-2)\/(-4)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/16)\/(27\/6 - 6)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 17527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -187517\/40 + 4687. Find the common denominator of t and 65\/12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1999502948 to the nearest integer?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + d - 3 = -19, 2*d = -3*j + 12. Let i(c) be the first derivative of c - j + 11\/2*c**2. Give i(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 12644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -23.2. Let i = -5.8 - t. Which is the closest to 0.2? (a) 2\/7 (b) 0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*b - 12*b + 30*b as x + u*b and give u.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a + 8. Let c be (1 - -2)*(3 - (-14)\/(-6)). Let r be (-5)\/c*((-56)\/(-20) + -4). Calculate o(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 3*t + 1, -5114*q = -5119*q - 9*t + 53 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0769 - 35.2231. Let z = -35 - f. Which is the biggest value? (a) 2\/9 (b) 0.4 (c) z (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15934 and 372?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/210260 and -71\/16.\nAnswer: 841040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 150 = -5*m. Let t = 151\/5 + m. Let l = -2 + 2.1. Which is the smallest value? (a) t (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 12:49 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 38*z + 22. Let k(x) = -106*x - 65. Calculate -17*d(g) - 6*k(g).\nAnswer: -10*g + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (80\/6 - 6\/18) + -5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33747317 is divided by 162.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(25\/(-30))*(-2)\/14?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -3 - (-6 + (-2 - -5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 1. Let h(a) = -2*a + 4. Let u(x) = h(x) + 4*y(x). Let p(f) = -2*f + 361*f**2 + 2*f - 362*f**2. Calculate u(p(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003550519813 rounded to six dps?\nAnswer: 0.003551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 1572*c**2 - 473796*c - 27798172.\nAnswer: 4*(c - 607)*(c + 107)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 2*p. Let h be s(0). Suppose -5*a + a + 1196 = h. Round a to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 92, 112, 120, 116?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -49100 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006659 rounded to 5 decimal places?\nAnswer: -0.00666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - d**2 - 2*d - 2. Let p be y(-2). Suppose -3*o + p*o - t - 529 = 0, -3*t - 883 = -5*o. Calculate the greatest common factor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*r - 156 = 453*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*p + 0)*(0*p - 5*p + 6*p) - 53*p + 32816*p**2 - 16428*p**2 - 2 - 16408*p**2 to h*p**2 + j + i*p and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.146 + 0.2. Let d = 0.154 - h. What is the closest to 0.1 in 2, d, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 26082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 172088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i + 7*i. Suppose -4*m + 8 = -3*p, -4*m - 2*p + 23 = -5. Solve i = m*t - 13 + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 0)*(1 - -1). Let o be 24\/(-10) + (-2)\/(-5). Let r = o + 5. Solve -k = 5*w + 11, 3*w + r*k = -11 + z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3061.88 - -2958. Let r = n + 104. Which is bigger: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 4. Let t(j) = j + j - 6 - j. Let k be t(5). Which is the nearest to -1? (a) 0.1 (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86790561 is divided by 350.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16274936*u**3*v - 5*u**3 - u*v + 445225552*v wrt u.\nAnswer: 48824808*u**2*v - 15*u**2 - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 2*p - 20. Let b be -10*(-5 - -4)\/(-2). Let u be w(b). Solve -c + 2*k = -k + 5, -4*c + 5*k = u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -24*y**2 + 26*y**2 - 1253 + 1253. Let u(t) = 1471*t**2. Calculate f(u(x)).\nAnswer: 4327682*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -15*q - 195. Let n = q + 53. Let l be 1 + n\/(-10) - 1820\/(-50). Put l, 0.5, -1 in decreasing order.\nAnswer: l, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 176*b - 141*b - 1050. Solve 6*s - b = -9*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 + 8*l**2 - 7*l + 6. Let n be t(5). Is (-14)\/(-7)*n\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = 44*u + 49*u - 18*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + d + 3. Let a be w(-4). Suppose 48 = a*k - 72. Is 2 a factor of 6\/(-4) + 28\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from eeexeeeeyyxy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 1)*(y**2 + 6*y - 1 - y - 6*y) in the form i*y**2 + x + w*y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001177 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.119774 weeks in milliseconds?\nAnswer: 1282039315.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxn when three letters picked without replacement from xvndbvm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4123 and 14371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*f**3 + 149*f**2?\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from asasassaaavsaasvvas.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6296, 12598, 18902, 25208, 31516, 37826, 44138?\n\"Answer: y**2 + 6299*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10515 + -62951\/6. What is the common denominator of y and -161\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-4))\/((-9)\/186). Suppose 39 + q = 5*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*1618079\nAnswer: 1618079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**2 - 151*l + 294 = 0.\nAnswer: 2, 147\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -420343 (base 6) to base 7.\nAnswer: -200430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y + 15*y - 1 + 1. Let l(i) be the second derivative of 0*i**2 + 0 - 1\/3*i**3 + i. What is l(u(c))?\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 3*n - 5*n. Suppose n*c = 22*c - 3*p + 99, 2*c - 198 = -4*p. Calculate the remainder when c is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 382.5831395 to the nearest 10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: a6 (base 12) to base 14\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 3*a**2 + 6*a + 10. Suppose -3*m - 5*x + 8 = 0, -5*m + 0*m = -4*x + 36. Let s be l(m). Let v(z) = -6*z - 16 - z**s + 6 + 8. Give v(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2852 and 460.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**4\/24 + s**3\/3 + 4*s**2. Let o be a(0). Let n(u) = 3 - o*u**2 + 0*u**2 - 3*u + u**2 + 2. Calculate n(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c + 8. Let p(z) = 106645*z**2. Give f(p(u)).\nAnswer: 426580*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, j: 2, h: 4, t: 4}. Give prob of picking 1 h and 3 t.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1829 and -20\/279?\nAnswer: 16461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h**3 - 2 - 14*h**3 - h + 12*h**3 - 2*h**2. What is b(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 6*s + 3*w - 16, -4*w = -5*s + 37. Let m(z) = 99*z + 38. Is m(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7360 at least 28\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(-3\/25)*(m**1)**(-1\/13) assuming m is positive.\nAnswer: m**(-1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*i = 40, 19133*k - 19153*k = -i - 110 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -9676138.5 to the nearest 10000.\nAnswer: -9680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/174 - ((-510)\/(-435))\/((-4)\/(-24)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3\/4 - 15*r**2\/2 - 18*r = 0. Calculate r.\nAnswer: -6, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 7*m**2 + 7*m + 8. Suppose -5*t - 64 = -3*l, 5*t + 46 = t + 5*l. Let i = -20 - t. Calculate u(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 120 - 30. Let r = 53 - d. Calculate the remainder when 126 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w + k - 31, -k = -3*w - 99. Let p = 38 + w. Find the first derivative of -t**3 - 4*t + 16 + p + 4*t wrt t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44480*u - 40*u**5 - 45276*u - 89*u**5 wrt u.\nAnswer: -2580*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2) + 11\/(22\/162). Calculate the highest common divisor of h and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, w: 8}. What is prob of sequence wsss?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 8960.\nAnswer: 8960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 16\/1923, 2, -2\/13 in descending order.\nAnswer: 4, 2, 16\/1923, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*q - 19 - 95 = 22. Which is the second smallest value? (a) -2\/5 (b) q (c) 188\/19 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 936*w + 935*w + 928*w - 2803*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*z**3 - 418*z**3 - 113*z**3 - 412*z**3 + 377*z**3.\nAnswer: -912*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, -4, 220, 4 in increasing order.\nAnswer: -4, -1, 4, 11, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3378865193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 6:41 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v - 3. Let b be g(2). Let r be (-129)\/(-27) - (-2)\/b. Suppose 70 = -0*i + r*i. Calculate the smallest common multiple of 6 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28299 plus 0?\nAnswer: -0.28299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721293099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69 or -5\/61?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*y + 90 = 0, -6*y = -3*j - y + 54. What is the remainder when j is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 271789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16964 - 0.05.\nAnswer: -16964.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 (base 6) in base 10?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, r: 2}. Give prob of picking 2 r and 2 l.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31020 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.901537 months in decades?\nAnswer: 0.024179475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.2. Let z = -0.2 - l. Let u be (1 - (-32)\/(-28)) + 0. What is the third biggest value in u, -3\/2, z?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 14 = w - 4*l, l - 12 = -4*w. Let j(k) = k**w - 67 + 142 - 74 + 2*k. Let n(i) = -i**2 - 3*i - 1. Let o be n(-3). Determine j(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 4*w - 5*w)*(14*w + 60*w**4 - 14*w).\nAnswer: -60*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30511*d**4 - 2*d**2 - d**2 - 118 + 18*d**3 + 30513*d**4 to l + g*d**3 + x*d**4 + w*d**2 + k*d and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u - 8. Suppose 3*f = g - 1, f = -2*g + 11 + 19. What is the tens digit of q(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2 + 2 - 2*k**2 + k + 2. Let o be b(2). Let u = o - -5. Calculate the remainder when u is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 18*s**2 - 5. Let t(n) = 26*n**2 - 7. Let c(y) = 7*i(y) - 5*t(y). Let b(r) be the first derivative of r**3\/3 - 37. Determine b(c(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgq when three letters picked without replacement from {g: 6, q: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 12208888.9.\nAnswer: 2441777.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*a - 9, 2*h = 3 - 1. Let u(n) = n**3 + n**2 - 15*n - 3. Let d(w) = -2*w**3 - 3*w**2 + 31*w + 7. Let q(g) = -6*d(g) - 13*u(g). Is q(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/520*40)\/((-2)\/(-9))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100220200 (base 4) to base 12.\nAnswer: -33514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 438\/13 greater than or equal to 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 9*s + 9. Let r(n) = n**2 - 2*n + 4. Let d be r(2). Let z be 1\/(-2) - (-34)\/4. Let m be (d\/1)\/(z\/12). Determine c(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1742390 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 5 + 2 + (1 - -39) + (134 - 141)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/1208466 and -83\/21735.\nAnswer: 6042330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1178, 4698, 10564, 18776?\n\"Answer: 1173*j**2 + j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2071, -8284, -18633, -33118, -51739?\nAnswer: -74496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-80)*(-10)\/(-4). Let o = 1.455 + -2.355. Suppose -g - 4*g + 5 = 0. What is the closest to g in a, o, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, -11, -19?\n\"Answer: -8*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/((-1)\/1)*(-16)\/(-32). Suppose 0 = 2*x - 18 + 6. Suppose -19 + x = 3*k - 5*t, -2*k - 17 = -5*t. Solve -s*p + k*p = -6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59028.57 to the nearest 10.\nAnswer: 59030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 + (-27)\/(32589\/(-3400))*(-65)\/26\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 462 and 1673?\nAnswer: 110418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, e: 1, c: 1, l: 7, s: 3}. Give prob of picking 1 c, 1 j, and 1 s.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxx when three letters picked without replacement from xuuuxuxxxxuxx?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167055.\nAnswer: 3, 5, 7, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 9)*(2*y**4 + y**4 - y**4) - 3*y**3 - 127*y**4 + 81*y**4 + 87*y**4 to l*y + w*y**4 + b*y**2 + n + u*y**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 3*g - 5, q = -5*g + 21 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2157742)\/1632*12)\/((10\/8)\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(44))**2 + (sqrt(121)*2)\/sqrt(11).\nAnswer: 2*sqrt(11) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117846 is divided by 701?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*b + 94*b + 297 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a**3 + 2*a**3 - 4*a**3)*(606*a - 443*a + 1032*a) as g*a + i*a**2 + t*a**4 + r*a**3 + h and give t.\nAnswer: 2390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -0.08858?\nAnswer: -0.08858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v + 136*v + 602*v = 64260 for v.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from eexejaaxaxejexa?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5157228, -22 in ascending order.\nAnswer: -5157228, -22, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24227221721 less than -5?\nAnswer: -24227221726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -9. Let b(s) = -40*s**3 + 2*s**2 + 2*s + 70*s**3 - 36*s**3. What is the units digit of b(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54477?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*2 + (1 - 0). Let b be (z - 0) + -3 - -850. What is b rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b + b**3 + 13*b - 20*b + 65*b**2.\nAnswer: b**3 + 65*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 82129, 82113, 82067, 81973, 81813, 81569, 81223, 80757?\n\"Answer: -3*d**3 + 3*d**2 - 4*d + 82133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2, 1\/9, 2\/7, -2889?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41aa8 (base 13) in base 11?\nAnswer: -80948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d - 142. Give g(27).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15979 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1604*(2 + (-21)\/12). Let b = k + -156. Suppose -45 = -i + u - 4*u, -5*u + b = 5*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 9. Let n be (-1)\/d*2*-248. Let g be (n\/(-6))\/((-3)\/(-13500)). What is g rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -998+1\nAnswer: -997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*q - 4*q**2 - 18*q + q**2 wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 7*l**2\/2 + 9*l + 23. Let h be n(0). Let s = -41\/2 - -121\/6. Sort s, h, 2\/7 in ascending order.\nAnswer: s, 2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + -6*((sqrt(396) + -3)*5 + 6*(-3 + sqrt(396)))**2*4.\nAnswer: -1176123 + 104544*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11\/7 + 47\/21. Let w(p) = 189*p + 941. Let x be w(-5). Let t = 1438\/77 - 132\/7. Which is the closest to d? (a) x (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.4 (b) -3 (c) -5\/3 (d) 9 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a - 53. Give h(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1216)*-1 + sqrt(1216) + (sqrt(1216) + 2 + sqrt(1216))*-3 + 2)**2.\nAnswer: 384*sqrt(19) + 43792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -24. Suppose 0 = -2*c - 5*h + 12, -4*c = -w*h - 2*h. Round c to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -111, -289, -547, -885?\nAnswer: -1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.917 - 0.083. Let n = 2\/7415 - 139404\/7415. Let o = 737\/40 + n. What is the second smallest value in -2, a, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96.9 - 167.6. Let o = 71 + d. What is the nearest to 0 in o, 1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1751 - 1747. Let h = -22 - -17.5. Let u = -4 - h. Which is the closest to -1? (a) x (b) 3\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11085194 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7904 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -700274117 + -5?\nAnswer: -700274123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 12*a + 41 - 2*a**2)*(-2*a - a**2 + 2*a).\nAnswer: 2*a**4 - 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + t - 2*t - 1 = 0, 5*c + 5*t - 35 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/38745 and -73\/5142.\nAnswer: 66408930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -31. Suppose 8*f + i*f = 56. Let t be (-2)\/4*f\/(-14). Which is the second biggest value? (a) 5 (b) t (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, -14\/9, -0.5, -3\/2, 1\/4, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3947 = -4*f + 1959, 0 = -5*f - 3*d + 7376. Is 28 a factor of 3 - (f\/(-33))\/((-4)\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4344801*-5\nAnswer: -21724005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*p - 10. Let z(g) = g**2 + 5*g + 3. Let y be z(p). Solve 0 = 3*t - t + i, 0 = 4*t - y*i - 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**2 - 1 - 4*x**3 + 13*x - 15*x + 0 + 6*x**3 as o + u*x**3 + r*x + q*x**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6*f = -3*f + 112, 74 = 2*a + 3*f. What is the remainder when a is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361*a - 361*a + 31350 = -700*a. What is the remainder when a is divided by 143?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, m: 2}. Give prob of sequence xmm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 5*b**2 + 1\/30*b**5 + 0*b**3 + 0*b + 0 + 1\/24*b**4 - 3\/20*b**6. What are the prime factors of q(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k**2 - 3*k - 3. Let i be d(-5). Suppose -4*y = m - 0*m - i, 4*y - 167 = -5*m. What is the remainder when y is divided by (-2)\/(-8) - (-102)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 6*w**2 - 17 + (-3*w**2 + 0*w + 0*w)*(5 + 2 - 1) + (-2 - 1 + 0)*(2*w**2 - 4*w**2 + 0*w**2) as m + r*w**2 + p*w and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 5:17 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1660 + -1654. Let a = 2.5 + -2. What is the closest to -2\/7 in a, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125765 by -26.\nAnswer: -125765\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-4)*72\/(-168).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58703*i = 58649*i + 1134 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u - 64. Suppose 2*v + 12 = u. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56955069 divided by 22.\nAnswer: 56955069\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1230 and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 1\/13 (c) -193\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8\/9)\/r**(-4)*(r**(1\/7)*r)**(2\/5))**25 assuming r is positive.\nAnswer: r**(5620\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11*q - 3*q - 3*q - 4*q. Let x(z) = 8*z. Let b(g) = -3*d(g) - x(g). Let k(y) = y**2. Give k(b(i)).\nAnswer: 121*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m**3 - 3*m**4 - 18*m - 18*m**2 - 5*m**3 + 14*m**3. Let u(p) = p**4 + p**3 - p**2 - p + 1. Let f(q) = -18*u(q) + z(q). Differentiate f(a) wrt a.\nAnswer: -84*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36726 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.2852 times 101?\nAnswer: -7098.8052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281019*c + 562070*c - 62*c**2 - 281053*c.\nAnswer: -62*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**4 - 35*c**2 - 3 + 5*c**4 - 6*c**4 + 5*c + 39*c**2 to the form s*c**2 + p*c**3 + b*c + u*c**4 + x and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 1fbff?\nAnswer: 1fbfb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*2 - (-6)\/1. Suppose 5*s - 24 = -3*l, 2*l - 3 = n*l - 3*s. Let d be 2\/(-6) - (-3)\/l. Which is the smallest value? (a) d (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 5*x - 2. Let u(k) = -6*k + 3*k**2 - 2*k - 1125 + 1122. Let b(h) = -5*i(h) + 3*u(h). Determine b(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/11, 0.41, 2\/11, -0.4, 334, -3\/2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2 + 2. Let f(g) = 2*g**2 - g**2 - 2*g - 4*g. Let b be f(5). Put -4, w, b in increasing order.\nAnswer: b, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 8, i: 5}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**4\/4 + 2*m**3\/3 + m**2\/2 - 3. Factor l(i).\nAnswer: i*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 2*p - 2. Let l(q) be the second derivative of q**4\/12 - q**3\/6 + 9*q. Let v(o) = -j(o) + 6*l(o). What are the prime factors of v(3)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1815 divided by 2\nAnswer: 1815\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 75 = 5*o. Let k(f) be the third derivative of 0 - 1\/200*f**6 + 0*f**o + 4*f**2 - 1\/5*f**3 + 0*f + 3\/40*f**4. Factor k(s).\nAnswer: -3*(s - 1)**2*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -n - 4*n - h, 5*h - 5 = 0. Suppose 2*k = -3*k - 50. What is the smallest value in -2\/7, k, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(5\/6)\/((((d*d**3*d*d)\/d*d)\/d*d)\/d))\/((d*d**(3\/5)*d)\/(d\/d**(-5))) assuming d is positive.\nAnswer: d**(-23\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 501*w + 43432 = -497*w, -32584 = -3*g - w. Is g at most as big as 10864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*f - n - 4*n, 3 = -3*f + 3*n. Let x(w) be the second derivative of -1\/25*w**5 + 0 + 1\/6*w**f + 5*w + 0*w**2 - 2\/15*w**3. Factor x(i).\nAnswer: -2*i*(i - 2)*(2*i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12727587161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 479 + -494 - (-4 - (-9 - 4)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 + 0*m + m + m**2 - 3*m + m + 2 - 2*m**4 to u + o*m + v*m**3 + y*m**4 + i*m**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w. Let u(t) = 4*t**2 - 5. Let g(h) = -23*h**2 + 30. Let r(v) = -6*g(v) - 34*u(v). Let o(p) be the first derivative of r(p). Calculate z(o(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 22*u - 44. Calculate c(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11311710.09 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 at least 112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2052*k**6 - 816*k**2.\nAnswer: -246240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a kilogram in grams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 5*a + 17. Let m be x(-7). Suppose 10 = -5*k, 3*u = -k - m*k + 241. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1e61 (base 16) to base 5\nAnswer: -222102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 30.7577 (c) -14 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 3. Let u be l(0). Let o be (-2 - -3)\/((-1)\/u). What is the biggest value in -1\/5, -8, o?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -191534000 rounded to the nearest one hundred thousand?\nAnswer: -191500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 0 + 0*y**4 + y**2 + 0*y + 0*y**3 - 1\/660*y**6 + 1\/330*y**5. Let v(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -957077*i**2. Let w(z) = 2*z. Calculate w(l(q)).\nAnswer: -1914154*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/3)*c)\/(c\/c**(-3)))**(-1\/2)*c**(-6)\/c*c\/c**(-1\/11)*(c*c**(2\/3))\/c**5 assuming c is positive.\nAnswer: c**(-533\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*d - 374*d = -672. Let 2\/11*r**5 - 2\/11 + 4\/11*r**2 - 4\/11*r**d + 2\/11*r - 2\/11*r**4 = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*r - 3*r + r in the form c + m*r and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1693\/(-36) - (-10)\/(-45). Let t = -47 - q. Let k be (2\/16)\/(3\/(-18)). Which is the second biggest value? (a) 0.2 (b) t (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 16*a + 75. Let d be n(-4). Sort 5, 3, d in decreasing order.\nAnswer: d, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 10*p + 8. Let u(m) = -m**3 - 2*m**2 - m + 1. Let g be u(-3). Let q = -23 + g. Is v(q) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*(sqrt(720) + -1) + -2 + 3)**2.\nAnswer: -720*sqrt(5) + 18034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 123690 and 14630.\nAnswer: 1360590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.540497 to two decimal places.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6553.3 + -5\nAnswer: 6548.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -65191 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*b, -3*b = 3*j + 9*b - 13*b + 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 92 + -23?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/(164\/(-30)) + 1\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -845 or -896?\nAnswer: -845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*x - 5*x + 8, 4*q = -8. Suppose -3*m + x*m = -6, l - 2*m = -2. Solve u - t = -4, -4*t + 15 = -u - l*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63066049 < -63066047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by 245220.\nAnswer: -17\/49044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + 2*sqrt(2057)*4)**2.\nAnswer: 166617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -21. Suppose 0*s = -s + 6. Let r(i) = 5*i - 5. Let d(t) be the second derivative of -7*t**3\/3 + 7*t**2 + 5*t. What is c*r(j) + s*d(j)?\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 20487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 9*v + 15. Let s(r) = -r**2 - 7*r - 1. Let t be 3 + -1 - (0 + 8). Let o be s(t). Solve d + v - o = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 978 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 10:22 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrr. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 45\/(-6)*(-24)\/10. Suppose -5*d + j = -257. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28 - 7e82e?\nAnswer: -7e857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t. Let f(n) = -3*n - 1. Let x be f(-1). Let y(k) = 7*k**x - 20*k**2 + 9*k**2. Determine u(y(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*r**4 + 6*r**2 - r**3 + 2*r**2 + r**3 wrt r?\nAnswer: -192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 21, 205.\nAnswer: 21, 30, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 + -92 - (-3 - -4) - 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 7664123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -90*m*w - 8985852*m + 2092*w**2 - 17*w wrt w?\nAnswer: -90*m + 4184*w - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 1\/9, -18, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(272)*6 + -4)**2.\nAnswer: -192*sqrt(17) + 9809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42447?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 391389 to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3090275.7 and -0.01?\nAnswer: 30902.757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 3 = 3*t, 3*x + x - 12 = t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2)**(-9\/5)\/(h\/(h**(-1)\/h))**(-37) assuming h is positive.\nAnswer: h**(537\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 5586, -2 in decreasing order.\nAnswer: 5586, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12, -5, -3 in decreasing order.\nAnswer: 12, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(936) - (sqrt(936) + ((sqrt(936) + sqrt(936) + 2*sqrt(936) + sqrt(936))*-4 - sqrt(936)) + sqrt(936)))\/(1*3*sqrt(288)).\nAnswer: 10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 418 and 2907?\nAnswer: 63954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 15, 379 in decreasing order.\nAnswer: 379, 15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 1 (b) -0.1 (c) 0 (d) -5 (e) 2798\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 175 + -174.999998534. Round z to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 6*w + 3. Let u be (4 - -2)*w\/(-2). Let g(q) = -716*q**2 - q + 5. Let v be g(u). Round v to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -204*r - 23861. What is j(-117)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 - (-12 + -15)) + 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*s - 34, 7*s = 4*n + 8*s + 31. What is the units digit of (3\/2)\/(n\/6224*-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 4*m - 24, -h + 11*m + 32 = 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, -3, 2\/9, -69 in descending order.\nAnswer: 2\/9, 0.07, -3, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 58 + 14. Let z(o) = -36 - o**2 - 24*o + 69 - 35. What are the prime factors of z(s)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076354943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/2)\/(i\/(i**1\/i)*i))\/(i*i*i\/i**(-4)*i)**(-11) assuming i is positive.\nAnswer: i**(175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 6 - 5*w**2 + 2*w - 2*w**2 - 3*w + 3*w + (w**2 + 0*w**2 - 2*w**2)*(-3 + 6 - 4) - 3 - 3*w**2 + 3 - 4 + 2*w**2 + 4 to f + z*w + i*w**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -72.7*-0.0309\nAnswer: 2.24643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469 = 40*d + 27*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 633684 and 11723154.\nAnswer: 23446308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 47*g - 371. Let l be w(10). Put 5, l, -8, -5 in descending order.\nAnswer: 5, l, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + h + 56 - 20, x - 4*h = -8. Suppose -x*p - 91 = -811. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 323.9 - 324. Do t and -10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**2 + 25*d + 2. Let q(y) = 4*y**2 - 27*y - 3. Let t(n) = 2*q(n) + 3*x(n). Suppose -28 = -3*u + 4*p, 2*u - p - 22 = -0*u. Does 14 divide t(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2414*h**4 + h**2 - 1427.\nAnswer: 9656*h**3 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 11:35 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 553 + -553. Let x be 1 + 4 + 160\/10. Solve -d + 7*q = 2*q - 7, b = 5*d + 3*q + x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 999521261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730698756?\nAnswer: 2, 3, 73, 834131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, g: 1, y: 4}. What is prob of picking 2 a and 1 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-18))\/(8\/48921). Let g = f - 1365. Let q = 2955\/136 + -261\/17. Find the common denominator of q and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/(-10))\/3)\/1*(-4870)\/(-5844)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686149 is divided by 796.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -613, -5056, -17119, -40612, -79345, -137128, -217771?\nAnswer: -325084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -140, -232, -348, -494, -676, -900?\nAnswer: -1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 15982*x**2. Let d(v) = 6*v. Give d(o(q)).\nAnswer: 95892*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -121 + 152*o**3 + 60 + 62 - 127*o**3 - 455*o**3 wrt o?\nAnswer: -1290*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s - 4 - 2*s**4 + 2 + 2*s**3 - s**3 + 4*s**4 to b*s + r*s**3 + t*s**2 + v*s**4 + a and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/212204 and -68\/1755.\nAnswer: 372418020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -74 (c) 0.17 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233773 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 175 - 3809286.\nAnswer: -3809111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 126, 250, 380, 516, 658, 806?\n\"Answer: 3*a**2 + 115*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6\/97 + -332\/2231. Let d = -2224 - -2219. Which is the third smallest value? (a) d (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -21*c**3 + 2*c**2 + c. Suppose -g - 10 = t + 2*g, 0 = 3*t - 3*g - 18. Calculate the lowest common multiple of t and n(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1828320 divided by 140640\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((1376\/12)\/43)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4110.\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*9\/2*2. Let r be (-1)\/(12\/k)*2. Is -1 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -188 + 12. What is the remainder when n is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*d + 10, -3*w + d - 5 + 3 = 0. Solve 2*s + n - 10 = -16, -5*s - 5*n - 25 = w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -976, -961, -944, -925, -904, -881?\nAnswer: -856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*i**2 - 20*i**2 - 26*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -697616 or 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47480, -94972, -142468, -189968?\nAnswer: -237472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -493456, -493395, -493334?\nAnswer: -493273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 38, -2, 15, 2, 33 in ascending order.\nAnswer: -2, 0, 2, 15, 33, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 81431538.3us in weeks?\nAnswer: 0.00013464209375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3557943 is divided by 118598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 41*g**4 + 6*g**3 + 6*g**2 + 18*g - 5. Let s(t) = -t**4 - t**3 - t**2 - t + 1. Let i(y) = 6*s(y) + u(y). Find the second derivative of i(l) wrt l.\nAnswer: 420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24667777 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -117601, 0.3 in ascending order.\nAnswer: -117601, -2, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -310.5 + 311.5. Let h be (-2)\/(-4)*4\/80. Which is smaller: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-12))\/m**(-9\/4) assuming m is positive.\nAnswer: m**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 5227250.\nAnswer: 15681750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -276895250 by -3.\nAnswer: 276895250\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2662434854 to five dps.\nAnswer: -0.26624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 105, -715, -2069, -3957?\n\"Answer: -267*g**2 - 19*g + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10341 - -10340.988473. Round c to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/80*1)\/(45\/(-10)*58\/174)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 12:31 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -8, 2, 4, -33, 1, -1230 in decreasing order.\nAnswer: 4, 2, 1, 0.1, -8, -33, -1230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 4*l. Suppose -3*h = 2*r - 344, 2*h + 0*h + r - 231 = l. List the prime factors of (-2)\/(-8) + h\/8.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 2. Let z be o(5). Let m be -2 + -7 + 2 - z. Let x be m\/(-5) - (-36)\/(-14). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 10:07 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 3*(-6 - -8)) + (-38)\/(-14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + 6*f - 3*f)*(-2 - 5 + 5)*(0 + 2 - 1) - 58 - 4 - 1008*f + 63 to w*f + o and give w.\nAnswer: -1012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1085 times 0.5?\nAnswer: -542.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - 1\/(4\/(-36)). Suppose -3*z = q - 0*q - 6, 5*z = v*q + 10. Solve 0 = -2*c - 4 - z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 392*a**2 - 364*a**2 + 1 - 2*a in the form k + b*a**2 + y*a and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 245328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0147 to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a + 6. Let h be p(-4). Let m be h*(-4)\/2*2. Solve 3*z = m + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210223618.\nAnswer: 2, 11, 103, 113, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 6. Let q be j\/(-6)*(-36)\/8. Let p be (-55999994)\/(-14) + q\/(-14). Round p to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 0 - 2 + 10*m - 7*m. Let z be p(2). Solve -3*c = z + 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1345*s**2 - 137*s - 138. What is the units digit of u(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 16. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 8:12 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3604417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -50, -53, -56, -59, -62, -65?\n\"Answer: -3*c - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -25 (b) -29 (c) -1\/4 (d) 0.5 (e) 28\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 70*o + 25 + 51\/2*o**2. Differentiate l(h) with respect to h.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1388*k*s + 9222*k + 2*s wrt s?\nAnswer: -1388*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inni when four letters picked without replacement from niinn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6 = 0, b + 4*b - h - 22 = 0. Solve 3*w**b - 9*w**3 + 3*w**4 + 0*w + 0*w + 3*w**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 318072690 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f + 9. Determine w(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1718159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**2 + 8*u + 17. Let n be t(5). Which is the smallest value? (a) -3\/4 (b) -2\/3 (c) n (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*v + 13*v - 28 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*f\/f**(-2\/5)))\/f)\/(f\/(f\/(f*f\/((f*f\/(f**6\/f*f*f)*f)\/f))))*f**4*f**2*f*(f\/f**(-1\/13)*f**7*f)**(6\/19) assuming f is positive.\nAnswer: f**(1811\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 - 0. Let h = c + -61.999986. What is h rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 8:26 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36260 divided by -5180.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**3*t**2 + 3*j**3*t + 20*j**3 - 171*j - 4*t**2 - 240*t with respect to t.\nAnswer: -4*j**3*t + 3*j**3 - 8*t - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1203 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 - -126. Suppose u = 2*n + 9. Let -36*l + 22*l**3 + 10 - 6*l**2 - l**3 + n - 3*l**5 + 0*l**2 = 0. Calculate l.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/6, -1\/5, -12, 6\/11, 1, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + sqrt(539)*1 + 4 - ((-1*sqrt(33))\/sqrt(3) + 5).\nAnswer: -1 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*v*w**2 - 587*v*w - 38*w**2 - 12*w wrt v.\nAnswer: -2*w**2 - 587*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153076 = -88*d + 159*d. Calculate the least common multiple of d and 22.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 2)*(5*c - 4*c - 2*c) + 2*c + 3*c - 3*c - 78*c + 11*c + 36*c + 26*c + 30*c - 23*c to the form n + b*c and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18962, -151051, -509578, -1207763, -2358826, -4075987?\nAnswer: -6472466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1227.382 + 1231. Let s = m + 0.382. Let r = -6 + 3. Which is bigger: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 8*b + 1590. Calculate l(-44).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f - 6. Suppose -5*q + 5 = -2*p + 47, 8*p + 3*q = 30. What is the smallest common multiple of b(6) and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 6:48 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 11*o + 276. Let m(k) = -k**2 - k. Let c(y) = -2*m(y) + v(y). What is the units digit of c(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i + 517 = 3*l, -2*i = -5*l + 867. Suppose -5 = -2*y + 3. Suppose -y*f + 12 = -0, l = 5*p - 5*f. Is 26 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/(2277\/(-92) - -3).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2563632 (base 7) to base 6\nAnswer: 11103153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/9359760 and -74\/1754955.\nAnswer: 28079280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 9*y**2 + 9*y + 12. Determine h(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**7)\/p*p**(-3)*p)**(-29))**24 assuming p is positive.\nAnswer: p**(-3480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.656 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-17*f + 15*f + 2*f + 9165*f**2 + 29660*f**2).\nAnswer: 38825*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12577467443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 274284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 93, 205, 507, 1095, 2065, 3513, 5535, 8227?\n\"Answer: 16*p**3 - p**2 + 3*p + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 1. Let l(p) = p - 4. Let m be l(10). Let x(w) = -4*w**3 + w + 3. Let a(u) = m*k(u) - 2*x(u). Factor a(c).\nAnswer: 2*c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 11*t + 12*t + 2 - 22*t.\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -21*i. Let k be y(-1). Suppose k - 1 = 5*j. Which is greater: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 334 - 330. What is the smallest value in b, 5, -172?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**3 - 2*p**2 - 4*p + 8. Determine i(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 217976977 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140.26781 - 140.3. What is m rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/4)*o)**(-2\/79))**(-24))**(-6\/11) assuming o is positive.\nAnswer: o**(-360\/869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (0 - 23)) + (-485 - -409)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**2 + q + 7. Let k be v(6). Let i = k + 238. Round i to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.083 and -3.\nAnswer: -0.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -8*u + 3*u - 3*v, 2*u - 4*v = 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**8\/8400 + d**7\/1575 + 5*d**4\/24 + 15*d**2. Let x(l) be the second derivative of n(l). Factor x(c).\nAnswer: -4*c**2*(c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33467700 and 18600.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 4*r - 28 - 10, -75 = -5*o + 5*r. Let w(a) = -2*a + 34. Determine w(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 + (-1 - 10))\/(2\/(-96)). Let o = f - 187. Solve -o*k + 0*k = 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19907\/14 + 2857\/2. Suppose 4*h = 5*d + 145, -d + h - 19 = 11. What is the common denominator of q and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 2. Let f be p(5). Suppose -4*b = 5 - 1. Suppose 0 = 4*i + 3*a - 4, 5*i - 5*a - 35 = 5. Put i, f, b in decreasing order.\nAnswer: i, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19748, -4, -2, 26, -5 in increasing order.\nAnswer: -5, -4, -2, 26, 19748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -762511*q + 761891*q + 11501 + 18259 = 0 for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssw when three letters picked without replacement from {s: 15, w: 3}?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h - 1. Let s be b(2). Suppose 0 = -123*d + 116*d + 21. Calculate the greatest common factor of d and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -17. Suppose 29*u + 78*u = 107. Sort o, -5, -3, u.\nAnswer: -5, -3, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a day in minutes?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/1*22\/(-77). Calculate the lowest common multiple of 3 and 36\/(-14)*(12\/m - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 491 - 485. Let s be 12\/4 + z*3\/(-6). Let r be 8\/(-2)*1\/(-2). Put s, -2, r in descending order.\nAnswer: r, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 117125, 117088, 117023, 116930, 116809, 116660, 116483?\n\"Answer: -14*f**2 + 5*f + 117134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -2*f + 4, -o + 24 - 2 = 5*f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*s = m - 148, -4*m + 287 = -5*s. Is 64 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11\/9 - 1. Let m = 1445.93 + -1446. Let h = -0.02 - -2.02. What is the closest to 2\/5 in m, k, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-eight thirds of a day?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from qqqffqqfffqffqfqfq.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 2*x + 5*o, -46*x + 805*o = 798*o + 202 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 4674 = 5076. Is j a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8674248 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2 = -5*f + 1, -4 = 3*f + i. Let a be (-1776)\/(-72) + (1\/(-3))\/(-1). Let y = -23 + a. Sort 0, y, f in descending order.\nAnswer: y, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1909405234 to the power of 1\/3, to the nearest integer?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -3\/7, -1\/2212?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98\/12*(-83)\/((-2241)\/(-810))*(-3)\/15?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-4))\/(31\/(-124))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 9 = m + 13, 0 = 2*j + 2*m + 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 22 + 2*b**3 + b + 3)*(3 - 4 - 2).\nAnswer: -6*b**3 - 3*b + 129","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 11 + 49 - 15 - 1. Give k(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15.85 (b) -318.47 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 61372487*y. Let r(l) = 6596*l. Calculate -5*q(x) + 46522*r(x).\nAnswer: -3323*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.3*-114.8897.\nAnswer: 494.02571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514835 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/((-14)\/(-84)). Does 12 divide c\/5 + (-69)\/(-10)*16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**7\/2520 - d**6\/144 + d**5\/40 + 13*d**4\/12 - 8*d. Let r(b) be the third derivative of n(b). Calculate r(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z**2. Let c = -6 + 28. Let b = c - 20. Let d(y) = 0*y**b - 6*y**2 + 5*y**2 - y**2. Calculate k(d(m)).\nAnswer: -24*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 511*d + 510*d - 148 + 160*d**2 - 1021*d wrt d.\nAnswer: 320*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 2*l**6\/15 + l**4\/3 - 3*l. What is the third derivative of f(c) wrt c?\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/640*1)\/((-25)\/4500*12)?\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + 27*k + 12*k.\nAnswer: 34*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 95446.50808 less than 6?\nAnswer: -95440.50808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in 1, 0, 0.53, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*i - 25*i - 130935 = 0. Suppose -21*l - 840 + i = 0. What is the greatest common factor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -15. Suppose 4*t = 5*t - 4. What is the units digit of 2\/t*d*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 1 = -13. Suppose i*n - 31 = -t, 0*n = -n + 4*t - 7. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 + -0.6. Let t = 263\/42 - 45\/7. Let i = 0.1 + 4.9. Which is the closest to y? (a) t (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40040032 (base 5) in base 16?\nAnswer: 4ce89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (24\/(-32) - 9\/4). Suppose r = -u + 23. What is the highest common factor of u and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 4:31 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.05 (b) 11 (c) 0 (d) -0.4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -4*a + 2*a - 2*s, a + 3*s = 36. Let k = 39 - 25. Calculate the remainder when a is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50.1786 + -50.0606245. Let d = -0.118 + c. What is d rounded to 6 dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(4 - 2))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*x + x**2 + 21*x - 21*x - 25*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88309, -176608, -264905, -353200, -441493, -529784?\nAnswer: -618073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 803083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566*t = -403058 + 364570 for t.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102695 + 102694.9999940233. Round d to seven dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 674 - 5*y**3 - 8*y**3 - 2*y**3 + 13*y**3 + 5*y**2.\nAnswer: -2*y**3 + 5*y**2 + 674","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 195*v**2 - 150*v + 3044. Is a(21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 - (-109 + 95 + 13 + 6 + -3).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + c + 22 = 28, k + 3*c - 14 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75\/8 + 129\/8. Let d = -632\/3 - -6503\/30. Find the common denominator of d and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7282.497 days to minutes.\nAnswer: 10486795.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -95765 - 51\nAnswer: -95816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, l: 10, s: 6}. What is prob of picking 2 l?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + 13*x + 27. Let y be w(-6). Suppose -4*d - y = -a, 0 = 5*d - a + 5*a + 21. Let t(o) = o - 1. Give t(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*27\/(-90))\/(-1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -3*b - 12. Let d = 89 - 53. Suppose 4 - d = -4*g. Calculate the lowest common multiple of g and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009484 to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g - n - 13, -g + n = -7. Suppose -7*j = -g*j. Suppose 3*y + j*y - 56 = -2*q, q = 5*y - 89. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + (3 + sqrt(12)\/sqrt(6) + sqrt(2) + 1 - (sqrt(108)\/sqrt(324))\/sqrt(6))**2 + 2).\nAnswer: -409\/18 - 44*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65280*j**2 - 41452779*j - 13335.\nAnswer: 3*(j - 635)*(21760*j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7217774 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**3 + 2*s**2 - 2*s**2)*(5*s - 4*s + 2*s - 7) to the form n*s**4 + h*s**2 + y + w*s + i*s**3 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d1 + -244?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146381881 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 9:59 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a + 1. Let r be u(-6). Let b = 40 + r. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22449072 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.067067 months in millennia?\nAnswer: 0.00158892225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2257*m + 24 = 2254*m + 4*w, -4*m = -6*w + 32 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -11*i**3\/6 - 13*i**2\/2 + 4*i. Let g be (-50)\/8 - 2\/(-8). Let v(c) = -5 - 5*c - 4 + 3. What is g*w(m) + 13*v(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(92\/5)*372\/465?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*3*sqrt(192) + -1.\nAnswer: -576*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021518 to four decimal places.\nAnswer: 0.0215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 404837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/10 and -85\/2774809638.\nAnswer: 13874048190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 995 or -7.3?\nAnswer: 995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -123232, -123174, -123116?\n\"Answer: 58*j - 123290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 8*u**2 - 10*u + 6. Calculate the remainder when n(6) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9669?\nAnswer: 3, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*k + 7, 3*k + 2*l = -k + 16. Let z = 0 + k. Factor r**2 + 4*r**4 - 4*r**3 + 5*r**z + 4*r**3.\nAnswer: r**2*(r + 1)*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1910527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + 33 + 0*p + 2*p**2 - 4 + (17 - 17 - 6*p)*(0 + 0 + 2*p).\nAnswer: -10*p**2 - p + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 68176.92 rounded to the nearest one hundred?\nAnswer: 68200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z + 3 + 6*z + 6*z.\nAnswer: 16*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*g + 270309 = 1532953 - 8756. Is 248 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*g + 3*g = 18, d + 21 = -5*g. Suppose -y - c = -3*c - 21, 0 = y - d*c - 31. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 89.71261 litres?\nAnswer: 89712.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*n + 11*n + 10*n)*(-337*n**3 + 1668 - 1668) - 5*n**4 + n**4 + 2*n**4 to u*n**3 + k + x*n + j*n**4 + a*n**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 850, 3350, 7498, 13282, 20690, 29710, 40330, 52538?\n\"Answer: -2*l**3 + 836*l**2 + 6*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4, 6, -2, -26, -72, -146?\n\"Answer: -q**3 + q**2 + 6*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1991147\/33892 - -2\/8473. Let z = l - 59. Let f(m) = -5*m - 6. Let d be f(-1). Which is the third smallest value? (a) 4 (b) z (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from dsvvddvvvmdd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 34286379 to the nearest one hundred thousand.\nAnswer: 34300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 405?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -104*v**2 + 2*v. Let w(i) = 114*i - 69. What is w(u(s))?\nAnswer: -11856*s**2 + 228*s - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 14*k**2 + 95*k + 17. Let x be w(19). Put x, 3, -2, 0, -3 in increasing order.\nAnswer: -3, -2, 0, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, l: 2, e: 4, p: 1, o: 2, x: 1}. What is prob of picking 1 x and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*v**4 - 1 + 9*v**4 + 10*v**4 - 43*v**4 - v**3 to the form y*v**2 + d*v**4 + m*v**3 + p*v + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -8*d**3 + 10*d + 5. Let u(s) be the second derivative of -7*s**5\/20 + 3*s**3\/2 + 2*s**2 - 3*s - 202. What is 4*i(y) - 5*u(y)?\nAnswer: 3*y**3 - 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529075567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*s + 200 + 80. Sort -2, s, -52, 4.\nAnswer: -52, -2, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -64. Solve -5*k + 16 = 3*a, 3*a - k + c = k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q. Let t(a) = 4*a + a - 28*a**2 + 36*a**2 + 5*a**2 - 4*a. Calculate h(t(x)).\nAnswer: 39*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0489 and 0.00981851.\nAnswer: -0.03908149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/5 - 2798*j\/5 - 5588\/5.\nAnswer: -2*(j + 2)*(j + 1397)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 10*w**2 - 5*w - 11. What are the prime factors of u(8)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 564?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1875)\/(4 - 29452\/7360). Round i to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 1 - 1. Let i be (2\/4)\/((-3)\/(-6)). What is the greatest common divisor of k and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -241094*l**2 - 254928.\nAnswer: -482188*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 9960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= -20594\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-2*2)\/sqrt(10).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45222973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(1\/3)*d)\/d**(2\/7))**(25\/3)*(d\/d**0*(d*d*d\/(d*d**(5\/6))*d)\/d)\/(d\/d**(-7)*((d*d*d*d\/(d\/d**5))\/d)\/d) assuming d is positive.\nAnswer: d**(1009\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17336.68*-0.1\nAnswer: -1733.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (-11 + 10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 199, 123, 47?\n\"Answer: -76*x + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2) - (-5 + 2). Suppose -q*y + 4 = -y. What is the greatest common divisor of 12 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2354485176 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13456001 - 2?\nAnswer: 13455999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from buubuuuubyuubbuubb.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 - 4)*(0*n**2 + n**2 + 0*n**2 + (-2*n + 0 + 0)*(0 + n + 0)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -4. Suppose 5*i - k = 11, b + 3 = 4*i - 2*k. Is 73\/i + (-2)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 9:29 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2356 and 60884?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 8*j - 5. Let a(o) = -o**3 - 14*o**2 + 10*o - 20. Let d be a(-11). Let m = -499 - d. Determine u(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, g: 3, k: 4, v: 1, o: 2}. Give prob of picking 1 o and 1 q.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (48\/112)\/((-1)\/(-7)). Let x = 26 - 11. What is the highest common divisor of x and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**6\/10 - z**4\/6 - 2*z. What is the third derivative of k(u) wrt u?\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 176\/391713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111011111011110 - -110100111101?\nAnswer: 11000010100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 28*x. Let f(a) = 26*a**2. Determine m(f(c)).\nAnswer: 728*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4535, -9166, -13791, -18410, -23023, -27630, -32231?\n\"Answer: 3*d**2 - 4640*d + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9148757 hours in milliseconds?\nAnswer: 3293552.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1 + 2*d + 3 + 0*d + d. What is the remainder when i(5) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 925292?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g - 4*g - g + (70 + 64 - 181)*((-3 - 2 + 3)*(2*g + 0 + 0) + 0*g + g - 3*g - 7*g + g + 4*g).\nAnswer: 377*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 14 = 3*i, -3*n - 8 = -2*i - 0*n. Let x(y) = -y**2 + 9. Let h be x(i). Solve 0 = f + h*f + 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 - -3.94. Let s = 1171 + -1166. Which is the nearest to s? (a) h (b) 1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 (base 11) in base 6?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -9*p**4 + 77*p**3 + 11492*p**2 + 140900*p + 277200 = 0.\nAnswer: -20, -14, -22\/9, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37849, -37845, -37841, -37837, -37833, -37829?\nAnswer: -37825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -1\/2, -1, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2187*r**3\/8 + 16401*r**2\/2 - 491895*r\/8 - 675\/4 = 0 for r.\nAnswer: -2\/729, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - g**2 - 4*g - 3. Let b be r(0). What is the thousands digit of (204270\/(-20))\/11*4\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127475, 127473, 127469, 127463, 127455, 127445, 127433?\nAnswer: 127419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6994027\/348655272 + -4\/225813. Calculate the common denominator of -27\/772 and m.\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1887*k + 3739. What is a(-2)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -40. Let n be (u\/12)\/(3\/12). Let q(l) = 15 - 17 + l + 0*l. What is q(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/2? (a) 58547 (b) 2\/3 (c) -5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -28 - (-16 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16222163 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25315 + -7233?\nAnswer: -33548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 238*n**2 - 4179*n + 3946. Determine r(219).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -15*r**2. Suppose -3*c + 48 = c. Let d(m) = -c*m - 5*m + 21*m. Give d(v(w)).\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0*f - 5*f + f)*(2 - 5*f - 2 + 0 - f + 0 + (-3*f + 3*f - 2*f)*(1 + 0 - 2)).\nAnswer: 16*f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 156 + 40 = 0. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/5)\/((-4)\/20). Suppose 0 = -5*b - 3*p + 27 + 18, w = -b - 4*p. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 7:07 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2 + 111004*d = 0. Calculate d.\nAnswer: 0, 111004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2376539214?\nAnswer: 2, 3, 7, 56584267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1433 + 407 = 23*h. Suppose 37*f - h = 45*f. Is f greater than or equal to 6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 4, -44 in ascending order.\nAnswer: -44, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 10*a - 4. Let u be m(1). Solve -b + u = -3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16383 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d + 4. Let y be z(3). Let b be (-4)\/(-10)*(-9 - 1). Let x = 823 - 828. Sort y, x, b.\nAnswer: x, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128245556 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40295, -3, -2, 33 in ascending order.\nAnswer: -40295, -3, -2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*v**2 + 8*v - 5*v**2 - 4*v - 17 - 4*v**2 - v**2 in the form d*v + a*v**2 + t and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = -4*u - 14*b, -244*b + 14 = u - 247*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -76, -164, -252, -340, -428, -516?\n\"Answer: -88*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 10*v - 6. What is k(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8256708 rounded to two dps?\nAnswer: -2.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 6 = -3*m + 7*v, -3*m = v. Let w be m*(0\/(8\/(-2)))\/(-3). Suppose 14*j + 577 + 2825 = w. Round j to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 692 and 208465?\nAnswer: 833860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11675 (base 9) to base 16.\nAnswer: 1ea4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 4:59 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/150)\/((3\/(-22))\/3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7661794 - 0.01553?\nAnswer: 7661793.98447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2762020783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/45 + 2\/45. Let t = 202.9 - 139.4. Let h = 63.34 - t. Sort i, -4\/3, h in descending order.\nAnswer: i, h, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2. Let n(h) = -3825*h + 17. Give n(d(j)).\nAnswer: 7650*j**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-8\/13)*c)\/(((c**27*c)\/c)\/c) assuming c is positive.\nAnswer: c**(-307\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26372411 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -16*p**2 + p - 15. Calculate z(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/5, -0.1, 606, 6, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4784 and 4048?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28044 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 24 = -2*s - 2*s - 4*o, 0 = 2*s + 5*o. Let q be 0*(s\/(-4) - 3). Let z = -2.2 - -2. Which is the biggest value? (a) z (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, -1.5324, -3, 261\/7?\nAnswer: -1.5324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 1, j: 2, r: 1, e: 1, s: 1}. Give prob of picking 1 l and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15\/8 + -41\/24. Let s = -62\/79 - -265\/237. Suppose 1\/6*n + s - f*n**2 = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 5*k + 13. Let h be d(5). Suppose 35 - h = 2*v. What is the least common multiple of v and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 7*o**2 + 2*o - 7. Let j be t(-7). Let n(g) = -g - 26. Let k be n(j). Let h be -1 - 0 - 1\/(-2). What is the closest to h in k, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 66*y**2 - 4*y + 1. Let c = -344 + 352. Is z(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 1. Let n(y) = -3*y - 2. Let x(s) = 2*d(s) + n(s). Suppose 4*p - 4 = -2*t + 18, -3*t + 29 = 4*p. Let f(r) = -7 + t + 2*r**2. What is f(x(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 9:49 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 1, w: 1}. What is prob of picking 1 b and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -82? (a) -2 (b) 0 (c) -3\/20 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/136 (b) 5\/51 (c) 1\/44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from mpwmpwvvppwi?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a784 (base 16) to base 12.\nAnswer: 128630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(-1 - 11\/(-2)). Suppose -2*n = n - j. Let a = 3 - 1. Solve s + s - t = -3, -a*t - n = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195\/(-91)*(-22)\/(-1155)*21\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by 58057\nAnswer: 63\/58057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 8:54 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 at least -577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38428 and 6370.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2283, -2288, -2297, -2310, -2327, -2348?\n\"Answer: -2*y**2 + y - 2282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010296294 to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**5\/60 - 17*t**2. Let l(d) = -d**3 - 12*d**2 - 4*d - 2. Let z(o) = -l(o) + 6*n(o). Determine z(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 43*x - 574. What is the remainder when 138 is divided by h(14)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i. Let s(h) = -19040*h**2. Calculate s(l(g)).\nAnswer: -76160*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8960 and 1316?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -5*j, -5*m = -j. Let r(g) = -g**2 + g + 1162. Let f be r(0). Is (m - (-2 - -1)) + f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3 + 15. Suppose 0 = w*r - 5*r. What is the closest to -1 in r, 2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*270\/(-60).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1104*n**2 + 3*n + 4818 wrt n?\nAnswer: -2208*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.138 times -15\nAnswer: -2.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -164.5 times 1\nAnswer: -164.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -7 - (0 + -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-4)\/(-4))*5\/75?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, 204, 4, 2\/29, 2, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -24. Let a be y - (-6 - (-2 - 0)). Solve 0 = -3*x - 0 - a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33280 - -39641. Is k a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-12)*(-82)\/(-205)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -2*n**7\/5 - 635*n**4\/24 + 567*n**2. What is the second derivative of i(r) wrt r?\nAnswer: -1008*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 24 (c) -0.2022\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) - 3\/6. Which is the nearest to 1? (a) o (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(300) + (sqrt(300) + 0 - sqrt(300)))*4*4 + -3)*-5)**2*6.\nAnswer: -1296000*sqrt(3) + 103692150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 6, -7 in descending order.\nAnswer: 7, 6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.3929 - 0.6071. Which is the closest to 69? (a) p (b) -2\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54631830.\nAnswer: 2, 3, 5, 11, 165551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w + 2*w + 49 - 73 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 32*i + 217. Calculate l(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -12*u**3 - 48*u**2 + 6*u + 9. What is the least common multiple of n(-5) and 186?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 19 + (-12 - (22 - 25))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 702658?\nAnswer: 2, 11, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -786*o - 217 + 796*o + 217.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 55*k**2 - 40*k - 261. Is 55 a factor of y(54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g - 26*g - 7 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**5\/20 + u**4\/12 + u**2 - 3*u. Let m(x) = -x**3 - x**2 - 1. Suppose 3*f + 3 = -9. Give f*m(q) - 2*k(q).\nAnswer: 2*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 1 = 0, -3*s + 5*j - 16 + 17 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -291*t + 36. Let z = 355 - 354. Let j(n) = -2. Let k(m) = z*f(m) + 18*j(m). Let c(a) = 2*a**2. Calculate k(c(g)).\nAnswer: -582*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 3*m - 37, -1610*y + 2*m + 29 = -1615*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3190589 is divided by 1010.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + k - 5. Let m be 15\/10 + 5\/2. Suppose -m*c - 18 = 10. Is h(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, q: 5, v: 2}. Give prob of picking 2 c and 1 v.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000084553539 to 6 dps.\nAnswer: -0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + p - 29 = 0, 4*p = -542*n + 544*n + 32 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -5, -1, 56959 in decreasing order.\nAnswer: 56959, 2, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d, 0 = -b - 3*d - 0*d + 5 + 1. Solve -4*y + 8 = -2*s + b*s, 5*s = -3*y + 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*g - 2 = 0, 4*g = 4*b + g - 17. Let -2 - 2*u**b - 4*u**5 - 5*u + 3*u**4 + 11*u**4 - 4*u**3 + 15*u - 12*u**2 = 0. Calculate u.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, c: 2, i: 1}. What is prob of sequence ilc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35852.957027 - -35853. Let o = -0.043 + r. What is o rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-242)\/(-2) + ((-50)\/10 - -10) is divided by 68.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Is 82381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 29. Let v be (p + 14)*(-2)\/78. Let f = -1 + 0. Is f less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1 + 12 - l + 0 + 0. Calculate the remainder when 86 is divided by a(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -a5a58?\nAnswer: a5a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 876 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p - 192. Let r(x) = -3. Calculate -i(h) + r(h).\nAnswer: -2*h + 189","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -363.81 times 0.357\nAnswer: -129.88017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 3 + -10 + 0 - -22.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5466, 5736, 6006, 6276, 6546, 6816?\nAnswer: 7086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/2720 and 27\/113600.\nAnswer: 1931200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -171536 minus 1.5?\nAnswer: -171537.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*q = 115*q - 150. What is the second derivative of -q*g**2 + 8*g + 57*g**2 - 74*g**2 - 1 wrt g?\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 14*v = 36. Calculate the remainder when 1 is divided by (-1)\/(-3) - 6\/v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2710 is divided by 54.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 0.0032, -0.2, 1\/10, 5, 13?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163486152.9ms to weeks.\nAnswer: 0.27031440625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -1)*11\/(-165)*-3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354887280 divided by 5377080?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1463768 divided by 458\nAnswer: 3196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**4 + 13957*m**3 + 64937268*m**2 + 100739339120*m + 100674415808 = 0?\nAnswer: -4652, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/64587 or 0?\nAnswer: -4\/64587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250 (base 8) to base 7.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -46 from -3472.\nAnswer: -3426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/7 + 352*l**2\/7 + 91416*l\/7 + 4039776\/7 = 0 for l.\nAnswer: -78, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 75, 585, 2167, 5433, 10995, 19465, 31455?\n\"Answer: 102*n**3 - 76*n**2 + 24*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f + 438. Calculate the remainder when 1084 is divided by a(-58).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 1) + 12 + -3. Let t be (-6)\/(-9) - 10\/i. Suppose d = 0, 10*d - 5*d + 6 = -2*p. Which is the closest to t? (a) 4 (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11692?\nAnswer: 2, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -915.635 to the nearest 10.\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625986 is divided by 694.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -6. Let h = -0.08 - 0. Let c = -5.08 - h. What is the second smallest value in p, 2\/17, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43807990*i**3*j - 336*i**2*j + 3*i**2 + 5*i*j + 7*i + 7*j - 20 wrt i?\nAnswer: -262847940*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*t = -29918 + 55565 - 28591 for t.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-6)*(17 + 1). Let c(q) = -q**3 - 8*q**2 + 6*q + 5. Let g be c(b). Let i = 32 - g. Solve 2*f + i*n + 5 = -n, -3*f + 2*n = -3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-17 + 15) + -122. Which is greater: g or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 1\/30*g**6 - 30*g**3 - 36*g**2 - 7*g - 53\/60*g**5 - 6 + 17\/2*g**4. Factor p(l).\nAnswer: (l - 6)**3*(3*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5 = 2*q, 2*q = -4*d - 2*q - 12. Suppose -1 = -m + d. Suppose -4*y = -r - 36, -5*r + 1 - 5 = m*y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 312.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 9, -8, -0.3, -15.56, -37?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z = -36. Let h(v) = -v**3 - v**2 + 2*v. Let g be h(-3). Suppose 3*a = a + g. Calculate the smallest common multiple of a and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (171*o + 218900 - 218894 + 319*o)*(1 - 1 + 2*o**2) as g + n*o**2 + u*o + w*o**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 8 = -4*a, -2*f + 7*f - 32 = 4*a. Let k(q) = -q - 1. Let j be k(a). Find the third derivative of b**6 - 5*b**2 - 3*b**6 + j*b**2 + 5*b**2 wrt b.\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 7*s**2 + 107*s - 468. What is the remainder when 1266 is divided by y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -45, -26, 11, 72?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8552 is divided by 1275.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 110 = 18. Let u = y + 48. Let p be (u + -3)\/(2\/(-4)). Solve -p*t + 4 = -4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**4*t**3 + 81*s**4*t**2 - 2*s + t**3 + 3*t wrt s?\nAnswer: 12*s**2*t**3 + 972*s**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 7 - -3*(0 - 1). Solve 0*u = s*u + 10, -4*g + u - 10 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0042595 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/5 + 26*j**2 + 726*j\/5 + 1062\/5.\nAnswer: 2*(j + 3)**2*(j + 59)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -677.\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6*((-5)\/1)\/(-15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 28 - ((40 + 3 - 50) + (1 - 3)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/975 and 31\/27.\nAnswer: 8775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (-1 - -1) - 70\/(-30). Let u be ((-2)\/(-8))\/((-9)\/12). Sort -2, u, z in ascending order.\nAnswer: -2, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*p + 26 = p, 4*n + 3*p - 37 = 0. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 105981, -4, -2, 5, 8 in decreasing order.\nAnswer: 105981, 8, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109850656666447 + -1.\nAnswer: 109850656666446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1407*i + 18511 - 122839 = 456*i for i.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 4. Let p be -3 - (-2 - (3 - o)). Suppose 2*g = g + 4. Which is bigger: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u - 6. Suppose -3*c + 0*c = -21. Let n(z) = -z + 0 - c + 2*z. Let m(k) = 3*i(k) - 2*n(k). What is the first derivative of m(a) wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1509585*t**3 - 1699117 wrt t?\nAnswer: -4528755*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375 and 12125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - d = -22, -5*l + 110 = d - 0*d. Let r = 11 + l. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 9) to base 14.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4817 * 19.\nAnswer: 91523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*l - 3*n, 4*l - 9*n + 12*n - 8 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - g = 0, -3*v - 14 = -0*v + 4*g. Put v, -10, 4, 3 in descending order.\nAnswer: 4, 3, v, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 4*j**2 + j - 2. Let w be g(4). Let i(x) = 7 - 4*x**2 + w*x + 3*x**2 - 6. Determine i(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -159*t**2 - 19 - 124*t**2 + 271*t**2 to the form l*t**2 + w*t + v and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -10077694.9 to the nearest 100000.\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 374\/3 or 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**4\/9 + 2398*h**3\/9 - 2402*h**2\/3 + 7210*h\/9 - 2404\/9 = 0.\nAnswer: -1202, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwrwwrrwr. What is prob of picking 2 r and 1 w?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -15.8. Let k = 24 + -47\/2. Sort k, 5, o.\nAnswer: o, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -273*c**4\/4 + 7*c**3\/6 + 20*c**2 - 22*c. Find the second derivative of j(p) wrt p.\nAnswer: -1638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence te when two letters picked without replacement from {t: 16, e: 2}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -612 + 619. Solve -2*f - 3*q - m = -0*f, -f = -3*q - 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4481581869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(180))\/sqrt(4) - (-3*sqrt(45)*4)**2.\nAnswer: -6480 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -19. Suppose -y*w = 3*m - 19, -3*m + 7*m - w = 0. Which is greater: m or -2\/43?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70872 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -123, -170, -217, -264, -311?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o**3 - 25*o**2 + o + 2. Let p(v) = -v**5 + 15*v**3 - 51*v**2 + 2*v + 5. Let n(g) = -2*p(g) + 5*u(g). What is the third derivative of n(k) wrt k?\nAnswer: 120*k**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.975 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 147.6519 seconds?\nAnswer: 2.460865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkqbbkhqhhqhhhahhhh. What is prob of picking 1 a and 1 b?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1612*n. Let u(w) = 2*w. Give u(k(b)).\nAnswer: 3224*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drd. Give prob of picking 2 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266 and 18823.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/44 and -53\/1032396?\nAnswer: 11356356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than -39914\/9619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(684) - (sqrt(684) + (sqrt(684) - (-2 + sqrt(684))**2))))*3.\nAnswer: -87*sqrt(19) + 2064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 682.00289 + -682. What is w rounded to four dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 5*x - 6. Let p be y(-5). Let n = 1528\/5 - 313. Which is bigger: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 - 116*p**3 - 31 + 62 to the form n*p**2 + h*p**3 + z*p + w and give h.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -10. Let z = 5 - g. Let u(t) = 2 - z - 3*t. Let j(q) = 3*q**2. Give j(u(w)).\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*c - 4140 = 125*c + 36*c for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-8 + (1 - 2 - -13))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*i + 138*i + 72*i + 2199*i**2 - 2198*i**2 to w*i + r*i**2 + q and give w.\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**8\/756 + 8*s**7\/945 + s**6\/54 + 2*s**5\/135 - 11*s**2. Factor w(q).\nAnswer: 4*q**2*(q + 1)**2*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*q + 9\/4*q**2 - 3\/4*q**3 + 0.\nAnswer: -3*q*(q - 2)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19750 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31857 = 13*y - 31571 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5, 1013, 1.1, -0.5.\nAnswer: -2, -0.5, 0.5, 1.1, 1013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 703172092?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9742, -9487, -9078, -8515, -7798, -6927?\nAnswer: -5902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -368*q + 18364. Determine i(50).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9932, -81417, -275448, -653297, -1276236, -2205537, -3502472, -5228313?\n\"Answer: -10212*w**3 - w**2 + 2*w + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1039, 1040, 1041, 1042?\nAnswer: 1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 27. What is the nearest to 2\/5 in n, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001533 to 7 decimal places.\nAnswer: 0.0000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271323120?\nAnswer: 2, 3, 5, 43, 61, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 12.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 12*b**2 - 456*b + 832.\nAnswer: 4*(b - 8)*(b - 2)*(b + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000643 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4348972.\nAnswer: 2, 197, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 13*n + 16*n = -2909994, -5*i - 2909996 = 2*n. What is i rounded to the nearest 10000?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/6)\/g**(-3\/4)*g**0*g**(-1) assuming g is positive.\nAnswer: g**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-60528)\/(-6305)*5*64\/(-24)\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4))**(-40))**(1\/57) assuming w is positive.\nAnswer: w**(10\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 119945890 rounded to the nearest 1000000?\nAnswer: 120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9612*n**4 - 5984 wrt n?\nAnswer: 38448*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2+-0.029480933831\nAnswer: 1.970519066169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or 45?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -215163 (b) 1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a - 273. What is h(66)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 96*w + 252. Calculate t(93).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2ad02 - 7?\nAnswer: 2acd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2170972*t - 2170955*t - 1122 = 0 for t.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6 + 3 = 0. Let z = m + 8. Solve z*y = -16 - 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 707, 697, 685, 671, 655, 637?\n\"Answer: -u**2 - 7*u + 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 131, 166, 221, 302, 415, 566?\nAnswer: 761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 18 = 5*s, 4*s - 8 = -3*o + 14. Suppose 2*v + 60 = 5*d - o*v, v - 24 = -2*d. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 34428228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 - 2*w - 9. Give y(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 - 0.07. Let p = -0.16 - t. Let a = p + -0.95. Is -3 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/8*-7*((-36)\/45)\/1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -2\/133, 21\/4?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 840 is divided by 168?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**2 + 31*c**2 + 7*c**2)*(2*c**3 + 0*c - 3*c + 4*c).\nAnswer: 64*c**5 + 32*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 30 = 5. Suppose 0 = 3*w - o + 3838, d*w + 3*o + 5845 = -561. What is w rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 5*z**2 - 18*z - 59. Let i be q(-5). Solve 54*t + 23 = i*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011110101111110 (base 2) in base 12?\nAnswer: 3b052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*y. Solve y = -3*f + 5*f + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from {n: 1, m: 3, b: 2, p: 1, w: 7}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 27, 88, 197, 360, 583, 872?\n\"Answer: p**3 + 18*p**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.31 - 1217.7343212.\nAnswer: -1220.0443212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1072300 to the nearest ten thousand.\nAnswer: 1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-158)\/(-13) + 0) - 26584\/(-172796)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*r - 4*f - 3, 5*r + 5*f - 10 = 0. Suppose -s + 0 = r. What is the common denominator of (-10)\/s*28\/(-10) and -42\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -432, -867, -1304, -1743?\nAnswer: -2184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 3*k - 2. Calculate m(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -1 - (0 - 1). Does -3 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*r - 166*r**2 + 0 + 0 + 164*r - 288*r.\nAnswer: -166*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 10 = i + 2*o, 2*i - 4 = -o. Sort -0.08, i, 1\/25 in decreasing order.\nAnswer: i, 1\/25, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-1\/22)*(m**(-2\/3))**(-6) assuming m is positive.\nAnswer: m**(89\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w - 25. Let g be z(-5). Let a(m) = m + 12. Let j be a(8). Solve 5*u + j = g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -346 + 8019. List the prime factors of w.\nAnswer: 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51922 and 571142.\nAnswer: 571142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986 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: How many minutes are there between 6:52 PM and 11:18 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 7*l - 106. What is the remainder when 126 is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -248*k**2 - 38*k + 245. Let o(c) = 90*c**2 + 13*c - 82. Determine -4*m(n) - 11*o(n).\nAnswer: 2*n**2 + 9*n - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 1. What is the remainder when m is divided by (0 + -4)*(225\/20)\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + 15*j**2 - 2*j**2 - 3*j**2.\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 312 - 308. Solve -t*o + 7*o = 2*b, b = o - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zm when two letters picked without replacement from {z: 3, m: 4, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 - r**2 + r. Let d be a(-3). Suppose z - 14 = -z. What is the greatest common divisor of z and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 42*o + 39. What is q(-41)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from ssgsgqwgsswsqwswwgq.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + (-2 - 1\/(-1)). Let m = v + -6. Let g(n) = n**3 - 2*n - 2. Give g(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 636*a - 640*a - 1 = 0, 15*s - 3*s + 5*a = 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.021 + 21.979. Let p = 19 - z. Which is the closest to 0.2? (a) -4 (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4013.26 + -823773432.\nAnswer: -823769418.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -9.2. Let i = -3.2 - v. Let j = i + 4. Which is the third biggest value? (a) 4 (b) j (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112459 is divided by 4864.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 z, and 2 s when four letters picked without replacement from fybafssbfysbfsfyfaz.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, e: 9}. Give prob of sequence wwe.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-507825)\/(-61050))\/(5\/((-165)\/(-18))).\nAnswer: 61\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4063572?\nAnswer: 2, 3, 112877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*l + 8386, 2*m + 2*l - 657 = 4939. Round m to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2295 - 2292. Solve -d*s - 3 = -9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -0.13600252144?\nAnswer: 0.16399747856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16 + -2 + -3*1. Suppose 6*m = u*m - 300. Let b = 103 - m. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 - 105. Let i = c + 57. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x + x - 8*x**3 + x**4 - 2*x**2 + 2*x**4 + 5*x**3 to d + f*x + o*x**4 + c*x**3 + h*x**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 431191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 + 6. Let z be (1788\/(-20))\/3 + 8\/(-40). Let l(k) = 1. Determine z*l(s) + 5*g(s).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 5*n**2 + 2*n. Let w(q) = q**3 - 4*q**2 + q. Let m(i) = -3*a(i) + 4*w(i). Let y be m(2). Suppose 8*s - 3*s = y. Solve -3*x + 0 - 3 = s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r*r\/(r\/(((r*r**14)\/r*r)\/r)))\/r)\/r*r))\/r*r**(-2))\/(r**(3\/5)\/r**(-2\/51)) assuming r is positive.\nAnswer: r**(-4243\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42*b*f**3*g - 2*b*f**3 - 2*f**3*g + 2*f + 13*g with respect to b.\nAnswer: -42*f**3*g - 2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/(sqrt(20)\/sqrt(4) + sqrt(5)))\/(sqrt(100) - (sqrt(100)*-2 - sqrt(100))))**2*-6.\nAnswer: -33\/800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -232100 + -320?\nAnswer: -232420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - n + 6 = -4*n, 4*j - 3*n = -21. Let z = 4 + j. Let a be -1*(0 - 2\/14). What is the nearest to z in a, 1\/2, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - n = -1592, -5*f + 2*f + 1209 = -3*n. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, d: 3}. What is prob of sequence uud?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -445807 or -445806?\nAnswer: -445807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 184 by 1837.\nAnswer: 184\/1837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 47532203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (-1)\/(-1 - 0). Let l = r - -8. Let k = 35712 + -35713. Which is bigger: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 416476 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12201*q**2*x**2 - 381*q**2*x + 10*q**2 + 11439*q*x**2 + 6*q*x - 2*q + 2*x + 28 wrt x.\nAnswer: 24402*q**2 + 22878*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1016 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -131c5 (base 15) to base 6\nAnswer: -1151052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a**2 - 7*a - 201. What is the ten thousands digit of g(47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -38*z - 10. Let x(b) = 2*b + 1. Let i(d) = -c(d) + x(d). What is the derivative of i(v) wrt v?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (206870\/30 - -1) + (-3)\/(-9).\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -2)*(2 - 20\/8). Suppose 3*w - 3*p - 3 = a, -3*w + 2*w - 4*p = 4. Solve -2*x = z, 2*z + 0*z + x = w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 145701 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 6*o**2 - 7*o + 2. Let a be n(7). Suppose w - b = -2, 5 - 17 = -a*w - 2*b. Let k = 4 - 4. Solve w = g - k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 38. Suppose -b - 27 + s = 0. What is the tens digit of 65\/(4 + b) - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/3, -29\/4 in decreasing order.\nAnswer: 1\/3, -0.2, -29\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (4 + -4 + -54 - -21)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 64 = -79. Suppose y*k = 0, b + k + 5 = 2*k. Put 3, b, -1 in increasing order.\nAnswer: b, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/(-4) - (-3)\/6. Suppose -m - h = -2*m. Calculate the greatest common divisor of 20 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*m + 18, 1 = -4*a - 5*m - 16. Find the common denominator of (-401)\/42 - a\/7 and 7952\/240*(-2 + (-31)\/(-14)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - 699?\nAnswer: -709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -8. Let t(b) = b**2 - b - 2. Let z be t(r). Suppose -28 = -z*o - 2*l, 2*o - 3*l + 15 = 5*o. What is the highest common factor of o and 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-8) + 2)*10. Suppose -4*h - d*n = -46 - 169, -2*n + 108 = 2*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2301 + -2296. Solve -9*t + 20 = -j*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4675 and 37213.\nAnswer: 930325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -21)*(1 + -4). Let y(a) = a**3 - 9*a**2 + 12*a - 13. Let x be y(8). What is the highest common divisor of u and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -148 - -261. Suppose -74 = -2*u - 2*f, 0 = 4*u + 2*f - j - 25. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - (14 - 11))\/1. Solve 0 = -d*x - 15, 3*m - 4*x = -6*x - 22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}